Is a Genome a Codeword of an Error-Correcting Code?
Identifieur interne : 000518 ( Pmc/Corpus ); précédent : 000517; suivant : 000519Is a Genome a Codeword of an Error-Correcting Code?
Auteurs : Luzinete C. B. Faria ; Andréa S. L. Rocha ; João H. Kleinschmidt ; Márcio C. Silva-Filho ; Edson Bim ; Roberto H. Herai ; Michel E. B. Yamagishi ; Reginaldo PalazzoSource :
- PLoS ONE [ 1932-6203 ] ; 2012.
Abstract
Since a genome is a discrete sequence, the elements of which belong to a set of four letters, the question as to whether or not there is an error-correcting code underlying DNA sequences is unavoidable. The most common approach to answering this question is to propose a methodology to verify the existence of such a code. However, none of the methodologies proposed so far, although quite clever, has achieved that goal. In a recent work, we showed that DNA sequences can be identified as codewords in a class of cyclic error-correcting codes known as Hamming codes. In this paper, we show that a complete intron-exon gene, and even a plasmid genome, can be identified as a Hamming code codeword as well. Although this does not constitute a definitive proof that there is an error-correcting code underlying DNA sequences, it is the first evidence in this direction.
Url:
DOI: 10.1371/journal.pone.0036644
PubMed: 22649495
PubMed Central: 3359345
Links to Exploration step
PMC:3359345Le document en format XML
<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en">Is a Genome a Codeword of an Error-Correcting Code?</title><author><name sortKey="Faria, Luzinete C B" sort="Faria, Luzinete C B" uniqKey="Faria L" first="Luzinete C. B." last="Faria">Luzinete C. B. Faria</name><affiliation><nlm:aff id="aff1"><addr-line>Departamento de Telemática, Universidade Estadual de Campinas, Campinas, São Paulo, Brazil</addr-line></nlm:aff></affiliation></author><author><name sortKey="Rocha, Andrea S L" sort="Rocha, Andrea S L" uniqKey="Rocha A" first="Andréa S. L." last="Rocha">Andréa S. L. Rocha</name><affiliation><nlm:aff id="aff1"><addr-line>Departamento de Telemática, Universidade Estadual de Campinas, Campinas, São Paulo, Brazil</addr-line></nlm:aff></affiliation></author><author><name sortKey="Kleinschmidt, Joao H" sort="Kleinschmidt, Joao H" uniqKey="Kleinschmidt J" first="João H." last="Kleinschmidt">João H. Kleinschmidt</name><affiliation><nlm:aff id="aff2"><addr-line>Centro de Engenharia, Modelagem e Ciências Sociais Aplicadas, Universidade Federal do ABC, Santo André, São Paulo, Brazil</addr-line></nlm:aff></affiliation></author><author><name sortKey="Silva Filho, Marcio C" sort="Silva Filho, Marcio C" uniqKey="Silva Filho M" first="Márcio C." last="Silva-Filho">Márcio C. Silva-Filho</name><affiliation><nlm:aff id="aff3"><addr-line>Departamento de Genética, Escola Superior de Agricultura Luiz de Queiroz, Universidade de São Paulo, São Paulo, Brazil</addr-line></nlm:aff></affiliation></author><author><name sortKey="Bim, Edson" sort="Bim, Edson" uniqKey="Bim E" first="Edson" last="Bim">Edson Bim</name><affiliation><nlm:aff id="aff4"><addr-line>Departamento de Sistema de Controle de Energia, Universidade Estadual de Campinas, Campinas, São Paulo, Brazil</addr-line></nlm:aff></affiliation></author><author><name sortKey="Herai, Roberto H" sort="Herai, Roberto H" uniqKey="Herai R" first="Roberto H." last="Herai">Roberto H. Herai</name><affiliation><nlm:aff id="aff5"><addr-line>Department of Cellular & Molecular Medicine, School of Medicine, University of California San Diego, La Jolla, California, United States of America</addr-line></nlm:aff></affiliation></author><author><name sortKey="Yamagishi, Michel E B" sort="Yamagishi, Michel E B" uniqKey="Yamagishi M" first="Michel E. B." last="Yamagishi">Michel E. B. Yamagishi</name><affiliation><nlm:aff id="aff6"><addr-line>Embrapa Informática Agropecuária, Laboratório de Bioinformática Aplicada, Campinas, São Paulo, Brazil</addr-line></nlm:aff></affiliation></author><author><name sortKey="Palazzo, Reginaldo" sort="Palazzo, Reginaldo" uniqKey="Palazzo R" first="Reginaldo" last="Palazzo">Reginaldo Palazzo</name><affiliation><nlm:aff id="aff1"><addr-line>Departamento de Telemática, Universidade Estadual de Campinas, Campinas, São Paulo, Brazil</addr-line></nlm:aff></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">PMC</idno><idno type="pmid">22649495</idno><idno type="pmc">3359345</idno><idno type="url">http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3359345</idno><idno type="RBID">PMC:3359345</idno><idno type="doi">10.1371/journal.pone.0036644</idno><date when="2012">2012</date><idno type="wicri:Area/Pmc/Corpus">000518</idno><idno type="wicri:explorRef" wicri:stream="Pmc" wicri:step="Corpus" wicri:corpus="PMC">000518</idno></publicationStmt><sourceDesc><biblStruct><analytic><title xml:lang="en" level="a" type="main">Is a Genome a Codeword of an Error-Correcting Code?</title><author><name sortKey="Faria, Luzinete C B" sort="Faria, Luzinete C B" uniqKey="Faria L" first="Luzinete C. B." last="Faria">Luzinete C. B. Faria</name><affiliation><nlm:aff id="aff1"><addr-line>Departamento de Telemática, Universidade Estadual de Campinas, Campinas, São Paulo, Brazil</addr-line></nlm:aff></affiliation></author><author><name sortKey="Rocha, Andrea S L" sort="Rocha, Andrea S L" uniqKey="Rocha A" first="Andréa S. L." last="Rocha">Andréa S. L. Rocha</name><affiliation><nlm:aff id="aff1"><addr-line>Departamento de Telemática, Universidade Estadual de Campinas, Campinas, São Paulo, Brazil</addr-line></nlm:aff></affiliation></author><author><name sortKey="Kleinschmidt, Joao H" sort="Kleinschmidt, Joao H" uniqKey="Kleinschmidt J" first="João H." last="Kleinschmidt">João H. Kleinschmidt</name><affiliation><nlm:aff id="aff2"><addr-line>Centro de Engenharia, Modelagem e Ciências Sociais Aplicadas, Universidade Federal do ABC, Santo André, São Paulo, Brazil</addr-line></nlm:aff></affiliation></author><author><name sortKey="Silva Filho, Marcio C" sort="Silva Filho, Marcio C" uniqKey="Silva Filho M" first="Márcio C." last="Silva-Filho">Márcio C. Silva-Filho</name><affiliation><nlm:aff id="aff3"><addr-line>Departamento de Genética, Escola Superior de Agricultura Luiz de Queiroz, Universidade de São Paulo, São Paulo, Brazil</addr-line></nlm:aff></affiliation></author><author><name sortKey="Bim, Edson" sort="Bim, Edson" uniqKey="Bim E" first="Edson" last="Bim">Edson Bim</name><affiliation><nlm:aff id="aff4"><addr-line>Departamento de Sistema de Controle de Energia, Universidade Estadual de Campinas, Campinas, São Paulo, Brazil</addr-line></nlm:aff></affiliation></author><author><name sortKey="Herai, Roberto H" sort="Herai, Roberto H" uniqKey="Herai R" first="Roberto H." last="Herai">Roberto H. Herai</name><affiliation><nlm:aff id="aff5"><addr-line>Department of Cellular & Molecular Medicine, School of Medicine, University of California San Diego, La Jolla, California, United States of America</addr-line></nlm:aff></affiliation></author><author><name sortKey="Yamagishi, Michel E B" sort="Yamagishi, Michel E B" uniqKey="Yamagishi M" first="Michel E. B." last="Yamagishi">Michel E. B. Yamagishi</name><affiliation><nlm:aff id="aff6"><addr-line>Embrapa Informática Agropecuária, Laboratório de Bioinformática Aplicada, Campinas, São Paulo, Brazil</addr-line></nlm:aff></affiliation></author><author><name sortKey="Palazzo, Reginaldo" sort="Palazzo, Reginaldo" uniqKey="Palazzo R" first="Reginaldo" last="Palazzo">Reginaldo Palazzo</name><affiliation><nlm:aff id="aff1"><addr-line>Departamento de Telemática, Universidade Estadual de Campinas, Campinas, São Paulo, Brazil</addr-line></nlm:aff></affiliation></author></analytic><series><title level="j">PLoS ONE</title><idno type="eISSN">1932-6203</idno><imprint><date when="2012">2012</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en"><p>Since a genome is a discrete sequence, the elements of which belong to a set of four letters, the question as to whether or not there is an error-correcting code underlying DNA sequences is unavoidable. The most common approach to answering this question is to propose a methodology to verify the existence of such a code. However, none of the methodologies proposed so far, although quite clever, has achieved that goal. In a recent work, we showed that DNA sequences can be identified as codewords in a class of cyclic error-correcting codes known as Hamming codes. In this paper, we show that a complete intron-exon gene, and even a plasmid genome, can be identified as a Hamming code codeword as well. Although this does not constitute a definitive proof that there is an error-correcting code underlying DNA sequences, it is the first evidence in this direction.</p></div></front><back><div1 type="bibliography"><listBibl><biblStruct><analytic><author><name sortKey="Schneider, Td" uniqKey="Schneider T">TD Schneider</name></author><author><name sortKey="Stormo, Gd" uniqKey="Stormo G">GD Stormo</name></author><author><name sortKey="Gold, L" uniqKey="Gold L">L Gold</name></author><author><name sortKey="Ehrenfeucht, A" uniqKey="Ehrenfeucht A">A Ehrenfeucht</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Kumar, Rp" uniqKey="Kumar R">RP Kumar</name></author><author><name sortKey="Senthikumar, R" uniqKey="Senthikumar R">R Senthikumar</name></author><author><name sortKey="Singh, V" uniqKey="Singh V">V Singh</name></author><author><name sortKey="Mishra, Rk" uniqKey="Mishra R">RK Mishra</name></author></analytic></biblStruct><biblStruct><analytic><author><name 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Faria</name></author><author><name sortKey="Rocha, Asl" uniqKey="Rocha A">ASL Rocha</name></author><author><name sortKey="Kleinschmidt, Jh" uniqKey="Kleinschmidt J">JH Kleinschmidt</name></author><author><name sortKey="Palazzo, R" uniqKey="Palazzo R">R Palazzo</name></author><author><name sortKey="Silva Filho, Mc" uniqKey="Silva Filho M">MC Silva-Filho</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Hocquenghem, A" uniqKey="Hocquenghem A">A Hocquenghem</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Bose, Rc" uniqKey="Bose R">RC Bose</name></author><author><name sortKey="Chaudhuri, Dk" uniqKey="Chaudhuri D">DK Chaudhuri</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Mcwilliams, Fj" uniqKey="Mcwilliams F">FJ McWilliams</name></author><author><name sortKey="Sloane, Nja" uniqKey="Sloane N">NJA Sloane</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Peterson, Ww" uniqKey="Peterson W">WW Peterson</name></author><author><name sortKey="Weldon, Ej" uniqKey="Weldon E">EJ Weldon</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Huffman, Wc" uniqKey="Huffman W">WC Huffman</name></author><author><name sortKey="Pless, V" uniqKey="Pless V">V Pless</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Pless, V" uniqKey="Pless V">V Pless</name></author><author><name sortKey="Quian, Z" uniqKey="Quian Z">Z Quian</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Interlando, Jc" uniqKey="Interlando J">JC Interlando</name></author><author><name sortKey="Palazzo, R" uniqKey="Palazzo R">R Palazzo</name></author><author><name sortKey="Elia, M" uniqKey="Elia M">M Elia</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Andrade, Aa" uniqKey="Andrade A">AA Andrade</name></author><author><name sortKey="Palazzo, R" uniqKey="Palazzo R">R Palazzo</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Elia, M" uniqKey="Elia M">M Elia</name></author><author><name sortKey="Interlando, Jc" uniqKey="Interlando J">JC Interlando</name></author><author><name sortKey="Palazzo, R" uniqKey="Palazzo R">R Palazzo</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Andrade, Aa" uniqKey="Andrade A">AA Andrade</name></author><author><name sortKey="Palazzo, R" uniqKey="Palazzo R">R Palazzo</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Shankar, P" uniqKey="Shankar P">P Shankar</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Rocha, Asl" uniqKey="Rocha A">ASL Rocha</name></author><author><name sortKey="Faria, Lcb" uniqKey="Faria L">LCB Faria</name></author><author><name sortKey="Kleinschmidt, Jh" uniqKey="Kleinschmidt J">JH Kleinschmidt</name></author><author><name sortKey="Palazzo, R" uniqKey="Palazzo R">R Palazzo</name></author><author><name sortKey="Silva Filho, Mc" uniqKey="Silva Filho M">MC Silva-Filho</name></author></analytic></biblStruct></listBibl></div1></back></TEI><pmc article-type="research-article"><pmc-dir>properties open_access</pmc-dir>
<front><journal-meta><journal-id journal-id-type="nlm-ta">PLoS One</journal-id><journal-id journal-id-type="iso-abbrev">PLoS ONE</journal-id><journal-id journal-id-type="publisher-id">plos</journal-id><journal-id journal-id-type="pmc">plosone</journal-id><journal-title-group><journal-title>PLoS ONE</journal-title></journal-title-group><issn pub-type="epub">1932-6203</issn><publisher><publisher-name>Public Library of Science</publisher-name><publisher-loc>San Francisco, USA</publisher-loc></publisher></journal-meta><article-meta><article-id pub-id-type="pmid">22649495</article-id><article-id pub-id-type="pmc">3359345</article-id><article-id pub-id-type="publisher-id">PONE-D-11-25045</article-id><article-id pub-id-type="doi">10.1371/journal.pone.0036644</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Biology</subject><subj-group><subject>Computational Biology</subject><subj-group><subject>Genomics</subject><subj-group><subject>Genome Analysis Tools</subject></subj-group></subj-group><subj-group><subject>Molecular Genetics</subject><subj-group><subject>Gene Identification and Analysis</subject></subj-group></subj-group><subj-group><subject>Sequence Analysis</subject></subj-group></subj-group><subj-group><subject>Genetics</subject></subj-group></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Computer Science</subject><subj-group><subject>Algorithms</subject></subj-group><subj-group><subject>Computer Modeling</subject></subj-group></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Engineering</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Mathematics</subject><subj-group><subject>Applied Mathematics</subject></subj-group><subj-group><subject>Mathematical Computing</subject></subj-group></subj-group></article-categories><title-group><article-title>Is a Genome a Codeword of an Error-Correcting Code?</article-title><alt-title alt-title-type="running-head">Is a Genome a Codeword of an ECC?</alt-title></title-group><contrib-group><contrib contrib-type="author" equal-contrib="yes"><name><surname>Faria</surname><given-names>Luzinete C. B.</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib><contrib contrib-type="author" equal-contrib="yes"><name><surname>Rocha</surname><given-names>Andréa S. L.</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib><contrib contrib-type="author"><name><surname>Kleinschmidt</surname><given-names>João H.</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref></contrib><contrib contrib-type="author"><name><surname>Silva-Filho</surname><given-names>Márcio C.</given-names></name><xref ref-type="aff" rid="aff3"><sup>3</sup></xref></contrib><contrib contrib-type="author"><name><surname>Bim</surname><given-names>Edson</given-names></name><xref ref-type="aff" rid="aff4"><sup>4</sup></xref></contrib><contrib contrib-type="author"><name><surname>Herai</surname><given-names>Roberto H.</given-names></name><xref ref-type="aff" rid="aff5"><sup>5</sup></xref></contrib><contrib contrib-type="author"><name><surname>Yamagishi</surname><given-names>Michel E. B.</given-names></name><xref ref-type="aff" rid="aff6"><sup>6</sup></xref></contrib><contrib contrib-type="author"><name><surname>Palazzo</surname><given-names>Reginaldo</given-names><suffix>Jr</suffix></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib></contrib-group><aff id="aff1"><label>1</label><addr-line>Departamento de Telemática, Universidade Estadual de Campinas, Campinas, São Paulo, Brazil</addr-line></aff><aff id="aff2"><label>2</label><addr-line>Centro de Engenharia, Modelagem e Ciências Sociais Aplicadas, Universidade Federal do ABC, Santo André, São Paulo, Brazil</addr-line></aff><aff id="aff3"><label>3</label><addr-line>Departamento de Genética, Escola Superior de Agricultura Luiz de Queiroz, Universidade de São Paulo, São Paulo, Brazil</addr-line></aff><aff id="aff4"><label>4</label><addr-line>Departamento de Sistema de Controle de Energia, Universidade Estadual de Campinas, Campinas, São Paulo, Brazil</addr-line></aff><aff id="aff5"><label>5</label><addr-line>Department of Cellular & Molecular Medicine, School of Medicine, University of California San Diego, La Jolla, California, United States of America</addr-line></aff><aff id="aff6"><label>6</label><addr-line>Embrapa Informática Agropecuária, Laboratório de Bioinformática Aplicada, Campinas, São Paulo, Brazil</addr-line></aff><contrib-group><contrib contrib-type="editor"><name><surname>Wu</surname><given-names>Rongling</given-names></name><role>Editor</role><xref ref-type="aff" rid="edit1"></xref></contrib></contrib-group><aff id="edit1">Pennsylvania State University, United States of America</aff><author-notes><corresp id="cor1">* E-mail: <email>luzinete@dt.fee.unicamp.br</email> (LCBF); <email>andrea@dt.fee.unicamp.br</email> (ASLR)</corresp><fn fn-type="con"><p>Conceived and designed the experiments: LCBF ASLR RP. Performed the experiments: LCBF ASLR. Analyzed the data: LCBF ASLR JHK MCSF EB RH MY RP. Wrote the paper: LCBF ASLR JHK MCSF EB RH MY RP. Developed the software: JHK. Conceived and designed the study: RP.</p></fn></author-notes><pub-date pub-type="collection"><year>2012</year></pub-date><pub-date pub-type="epub"><day>23</day><month>5</month><year>2012</year></pub-date><volume>7</volume><issue>5</issue><elocation-id>e36644</elocation-id><history><date date-type="received"><day>14</day><month>12</month><year>2011</year></date><date date-type="accepted"><day>4</day><month>4</month><year>2012</year></date></history><permissions><copyright-statement>Faria et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</copyright-statement><copyright-year>2012</copyright-year></permissions><abstract><p>Since a genome is a discrete sequence, the elements of which belong to a set of four letters, the question as to whether or not there is an error-correcting code underlying DNA sequences is unavoidable. The most common approach to answering this question is to propose a methodology to verify the existence of such a code. However, none of the methodologies proposed so far, although quite clever, has achieved that goal. In a recent work, we showed that DNA sequences can be identified as codewords in a class of cyclic error-correcting codes known as Hamming codes. In this paper, we show that a complete intron-exon gene, and even a plasmid genome, can be identified as a Hamming code codeword as well. Although this does not constitute a definitive proof that there is an error-correcting code underlying DNA sequences, it is the first evidence in this direction.</p></abstract><counts><page-count count="9"></page-count></counts></article-meta></front><body><sec id="s1"><title>Introduction</title><p>Frequently in science, two seemingly unrelated fields find common ground in a research problem of interest. For example, the fields of biology and coding theory share the same challenge, which is to answer the question of whether or not there is an error-control mechanism in DNA sequences similar to the one employed in digital transmission systems. There are several facts about DNA sequences which motivate this line of questioning. One is that DNA sequences may be viewed as “words” written using four letters or nucleotide bases. Another is that some DNA patches code for protein sequences. Furthermore, several DNA sites have been well annotated in terms of pattern and information content <xref ref-type="bibr" rid="pone.0036644-Schneider1">[1]</xref>. The evolution of these biologically significant sequences is usually evolutionarily conserved, and it is important to avoid sequence errors in order to maintain their function. Another interesting point is that the number of genes an organism has does not correlate with its complexity. In fact, the number of non-coding DNA (ncDNA) regions, including repetitive sequences, seems to have been increasing since the beginning of the evolution of the higher eukaryotes, which suggests that organism complexity is related to gene regulation through ncDNA <xref ref-type="bibr" rid="pone.0036644-Kumar1">[2]</xref>. It is well established that non-coding sequences are biologically important; e.g. regulatory regions (promoters, TFBS, enhancer elements, ncRNA, introns, splicing sites etc). Finally, and most importantly, the DNA replication process is far from being the only source of sequence errors. DNA integrity is frequently jeopardized by physical and chemical agents, which means that DNA damage repair mechanisms are indispensable in preventing collateral effects <xref ref-type="bibr" rid="pone.0036644-Hoeijmakers1">[3]</xref>. Interestingly, more than one of these mechanisms is described in the literature <xref ref-type="bibr" rid="pone.0036644-Ozturks1">[4]</xref>. Is it reasonable to infer that some DNA repair mechanisms are a biological implementation of error-correcting codes?</p><p>The coding theory community has proposed several methodologies to verify whether or not a particular DNA sequence, usually a protein coding sequence, has an underlying error-correcting code (ECC) <xref ref-type="bibr" rid="pone.0036644-DR1">[5]</xref> and <xref ref-type="bibr" rid="pone.0036644-Rosen1">[6]</xref>. In spite of their relevance, the results of earlier works do not provide the definitive answer. For instance, based on the procedure for determining whether or not the <italic>lac operon</italic> and <italic>cytochrome c gene</italic> can be identified as codewords of linear block codes, the answer is no <xref ref-type="bibr" rid="pone.0036644-Liebovitch1">[7]</xref>. Actually, we cannot even conclude that there is no linear block code in other DNA sequences.</p><p>Of course, as is often the case, there is at least one alternative approach to solving this problem, which is to demonstrate that an ECC underlies DNA sequences. This task is far from easy to accomplish, because a complex error-correcting scheme might consist of many distinct concatenated codes, rather than a single global one, although, to the best of our knowledge, there is no evidence that such an ECC exists. In <xref ref-type="bibr" rid="pone.0036644-Faria1">[8]</xref>, we attempted to answer a recurring question: Are there DNA sequences that can be identified as codewords for ECCs? If so, we will have taken the first step in a long research journey. The majority of candidate DNA sequences have been positively identified as codewords for a class of cyclic block codes. Such codewords are consistently different from actual DNA sequences by one single nucleotide. Is this difference biologically significant? Are these codewords actually ancient DNA sequences? Up to now, researchers in the fields of biology and coding theory have been working almost independently of one another, and the two groups need to work together to address the new challenges. In this paper, we ask whether or not a whole intron-exon gene structure can be identified as a codeword, and, furthermore, can a whole genome be identified as a codeword? In the following sections, we describe our experiments and results.</p></sec><sec sec-type="methods" id="s2"><title>Methods</title><sec id="s2a"><title>BCH Code</title><p>ECCs are always used when transmitting or storing information. The main objective of an ECC is, as the name suggests, to correct errors that might occur during information transmission through noisy channels. BCH codes form a subset of parameterized ECCs, which were first proposed in 1959 by Hocquenghem <xref ref-type="bibr" rid="pone.0036644-Hocquenghem1">[9]</xref> and independently rediscovered by Bose and Chaudhuri <xref ref-type="bibr" rid="pone.0036644-Bose1">[10]</xref> in 1960. The acronym BCH is made up of the initials of Bose, Chaudhuri, and Hocquenghem, in that order. Usually BCH codes are employed in the transmission of information in computer networks and in sequence generation. Due to the simplicity of their encoding and decoding processes, these codes are good candidates for use in the identification and reproduction of DNA sequences, <xref ref-type="bibr" rid="pone.0036644-Faria1">[8]</xref>, <xref ref-type="bibr" rid="pone.0036644-McWilliams1">[11]</xref>–<xref ref-type="bibr" rid="pone.0036644-Shankar1">[19]</xref>. By “identification”, we mean that the DNA sequence may be either a codeword for an ECC or one of the code sequences. These code sequences may differ from the codeword up to the error correction capability of the code. In the latter case, we say that such code sequences belong to a codeword set. The BCH codes constitute an important generalization of the Hamming codes by allowing multiple error corrections. The parameters associated with a BCH code are denoted by <inline-formula><inline-graphic xlink:href="pone.0036644.e001.jpg" mimetype="image"></inline-graphic></inline-formula>, where <inline-formula><inline-graphic xlink:href="pone.0036644.e002.jpg" mimetype="image"></inline-graphic></inline-formula> is the codeword length (number of base pairs in DNA sequences); <inline-formula><inline-graphic xlink:href="pone.0036644.e003.jpg" mimetype="image"></inline-graphic></inline-formula> is the code dimension (length of the input information sequence responsible for generating the DNA sequence); and <inline-formula><inline-graphic xlink:href="pone.0036644.e004.jpg" mimetype="image"></inline-graphic></inline-formula> is the minimum code distance (the smallest number of positions by which any two codewords may differ).</p></sec><sec id="s2b"><title>Converting Nucleotides into Numbers</title><p>It is desirable that the alphabet of an ECC have an associated algebraic structure. Although the genetic code has an associated alphabet, the identification of a related algebraic structure remains an open problem. We have considered the ring of integers modulo 4, denoted by <inline-formula><inline-graphic xlink:href="pone.0036644.e005.jpg" mimetype="image"></inline-graphic></inline-formula>, owing to the easy of code construction of using this algebraic structure. Since the alphabet of the genetic code must be converted into the alphabet of the ECC, and vice-versa, it follows that this conversion has to take into consideration all the possibilities of associating the elements of the set <inline-formula><inline-graphic xlink:href="pone.0036644.e006.jpg" mimetype="image"></inline-graphic></inline-formula>, where <inline-formula><inline-graphic xlink:href="pone.0036644.e007.jpg" mimetype="image"></inline-graphic></inline-formula> is adenine, <inline-formula><inline-graphic xlink:href="pone.0036644.e008.jpg" mimetype="image"></inline-graphic></inline-formula> is cytosine, <inline-formula><inline-graphic xlink:href="pone.0036644.e009.jpg" mimetype="image"></inline-graphic></inline-formula> is guanine, and <inline-formula><inline-graphic xlink:href="pone.0036644.e010.jpg" mimetype="image"></inline-graphic></inline-formula> is thymine, with the elements of the set <inline-formula><inline-graphic xlink:href="pone.0036644.e011.jpg" mimetype="image"></inline-graphic></inline-formula>. We call this association a labeling. The labeling between the set of nucleotides <inline-formula><inline-graphic xlink:href="pone.0036644.e012.jpg" mimetype="image"></inline-graphic></inline-formula> and the set <inline-formula><inline-graphic xlink:href="pone.0036644.e013.jpg" mimetype="image"></inline-graphic></inline-formula> consists of the twenty-four permutations involved, as shown in <xref ref-type="fig" rid="pone-0036644-g001">Figure 1</xref>. The aim of these labelings is to determine which permutation matches the codeword with the given DNA sequence.</p><fig id="pone-0036644-g001" position="float"><object-id pub-id-type="doi">10.1371/journal.pone.0036644.g001</object-id><label>Figure 1</label><caption><title>Permutations associated with labelings <inline-formula><inline-graphic xlink:href="pone.0036644.e014.jpg" mimetype="image"></inline-graphic></inline-formula>, <inline-formula><inline-graphic xlink:href="pone.0036644.e015.jpg" mimetype="image"></inline-graphic></inline-formula> and <inline-formula><inline-graphic xlink:href="pone.0036644.e016.jpg" mimetype="image"></inline-graphic></inline-formula>.</title></caption><graphic xlink:href="pone.0036644.g001"></graphic></fig><p>Next, in order to match the length of the DNA sequence to the codeword length, we must find the degree of the Galois ring extension, denoted by <inline-formula><inline-graphic xlink:href="pone.0036644.e017.jpg" mimetype="image"></inline-graphic></inline-formula>, using the equality <inline-formula><inline-graphic xlink:href="pone.0036644.e018.jpg" mimetype="image"></inline-graphic></inline-formula>, where <inline-formula><inline-graphic xlink:href="pone.0036644.e019.jpg" mimetype="image"></inline-graphic></inline-formula> is the DNA sequence length in base pairs. For instance, if <inline-formula><inline-graphic xlink:href="pone.0036644.e020.jpg" mimetype="image"></inline-graphic></inline-formula>, then the degree of the Galois ring extension <inline-formula><inline-graphic xlink:href="pone.0036644.e021.jpg" mimetype="image"></inline-graphic></inline-formula> is 6. The primitive polynomial is obtained once we know the value of <inline-formula><inline-graphic xlink:href="pone.0036644.e022.jpg" mimetype="image"></inline-graphic></inline-formula>, and, for every value of <inline-formula><inline-graphic xlink:href="pone.0036644.e023.jpg" mimetype="image"></inline-graphic></inline-formula> there are many primitive polynomials to consider. In looking for a new code, we have observed that there is a generator polynomial <inline-formula><inline-graphic xlink:href="pone.0036644.e024.jpg" mimetype="image"></inline-graphic></inline-formula> of the BCH code that corresponds to each primitive polynomial <inline-formula><inline-graphic xlink:href="pone.0036644.e025.jpg" mimetype="image"></inline-graphic></inline-formula>.</p><p>In the code construction process, the DNA sequence generation algorithm takes into consideration three important facts. The first is to consider every possible value taken by the minimum distance <inline-formula><inline-graphic xlink:href="pone.0036644.e026.jpg" mimetype="image"></inline-graphic></inline-formula> of the code, that is, <inline-formula><inline-graphic xlink:href="pone.0036644.e027.jpg" mimetype="image"></inline-graphic></inline-formula>, where <inline-formula><inline-graphic xlink:href="pone.0036644.e028.jpg" mimetype="image"></inline-graphic></inline-formula> denotes the number of errors the code is able to correct. The second is to consider all <inline-formula><inline-graphic xlink:href="pone.0036644.e029.jpg" mimetype="image"></inline-graphic></inline-formula> with degree <inline-formula><inline-graphic xlink:href="pone.0036644.e030.jpg" mimetype="image"></inline-graphic></inline-formula> to be used in the Galois ring extension, <inline-formula><inline-graphic xlink:href="pone.0036644.e031.jpg" mimetype="image"></inline-graphic></inline-formula> (Step 2 and Step 3) and all labeling A, B and C (Step 4), owing to the as yet unknown interdependence of the geometric and algebraic structures in the code construction, where <inline-formula><inline-graphic xlink:href="pone.0036644.e032.jpg" mimetype="image"></inline-graphic></inline-formula> denotes the ring of all the polynomials with coefficients in <inline-formula><inline-graphic xlink:href="pone.0036644.e033.jpg" mimetype="image"></inline-graphic></inline-formula>, and <inline-formula><inline-graphic xlink:href="pone.0036644.e034.jpg" mimetype="image"></inline-graphic></inline-formula> denotes the ideal generated by <inline-formula><inline-graphic xlink:href="pone.0036644.e035.jpg" mimetype="image"></inline-graphic></inline-formula>. The third is to consider determining the group of units <inline-formula><inline-graphic xlink:href="pone.0036644.e036.jpg" mimetype="image"></inline-graphic></inline-formula> in <inline-formula><inline-graphic xlink:href="pone.0036644.e037.jpg" mimetype="image"></inline-graphic></inline-formula>, where <inline-formula><inline-graphic xlink:href="pone.0036644.e038.jpg" mimetype="image"></inline-graphic></inline-formula> denotes the cardinality of <inline-formula><inline-graphic xlink:href="pone.0036644.e039.jpg" mimetype="image"></inline-graphic></inline-formula> and <inline-formula><inline-graphic xlink:href="pone.0036644.e040.jpg" mimetype="image"></inline-graphic></inline-formula> denotes the set of all non zero elements in <inline-formula><inline-graphic xlink:href="pone.0036644.e041.jpg" mimetype="image"></inline-graphic></inline-formula>. The additional computational complexity in the solution of this problem comes from the fact that the greater the degree of the Galois ring extension, the larger the number of <inline-formula><inline-graphic xlink:href="pone.0036644.e042.jpg" mimetype="image"></inline-graphic></inline-formula> to be considered in the code construction.</p><p>Knowing that the number of codewords generated by these codes grows exponentially with the code dimension, instead of generating all the codewords and comparing them with the given DNA sequence, the twenty-four permutations are applied to that DNA sequence, and these sequences are considered as “possible codewords”. Then, to determine which of the twenty-four sequences are, in fact, codewords, the relation <inline-formula><inline-graphic xlink:href="pone.0036644.e043.jpg" mimetype="image"></inline-graphic></inline-formula> is employed, where <inline-formula><inline-graphic xlink:href="pone.0036644.e044.jpg" mimetype="image"></inline-graphic></inline-formula> is each of the possible codewords and <inline-formula><inline-graphic xlink:href="pone.0036644.e045.jpg" mimetype="image"></inline-graphic></inline-formula> denotes the transpose of the parity-check matrix. The analysis to be performed with the DNA sequence, as a result of the one nucleotide difference from the codeword, is to consider the other three possible nucleotides at each position in the sequence for each permutation, and again to use the relation <inline-formula><inline-graphic xlink:href="pone.0036644.e046.jpg" mimetype="image"></inline-graphic></inline-formula>, in order to verify whether or not <inline-formula><inline-graphic xlink:href="pone.0036644.e047.jpg" mimetype="image"></inline-graphic></inline-formula> is a possible codeword.</p><p>Single stranded DNA sequences, such as single stranded chromosomes, genes, introns, exons, repetitive DNA, and mRNA sequences, may be either a codeword for an ECC or belong to the codeword set of an ECC. In order to verify whether or not a DNA sequence may actually be identified as a codeword, we can use an ad hoc strategy, i.e. generate all the codewords and compare the DNA sequence with each codeword. However, this is not a practical strategy, because the computational effort to do this would be prohibitive, as explained below. In order to address this identification problem, we have developed an algorithm called the DNA Sequence Generation Algorithm, which verifies whether or not a given DNA sequence can be identified as a codeword of an ECC. This algorithm is the same as the one in <xref ref-type="bibr" rid="pone.0036644-Faria1">[8]</xref>, however it differs from the algorithm in <xref ref-type="bibr" rid="pone.0036644-Rocha1">[20]</xref> in that it considers the Galois ring extension as the algebraic structure, instead of the Galois field extension. There are also some conceptual differences, which are discussed in <xref ref-type="bibr" rid="pone.0036644-Interlando1">[15]</xref> and <xref ref-type="bibr" rid="pone.0036644-Elia1">[17]</xref>.</p></sec><sec id="s2c"><title>DNA Sequence Generation Algorithm</title><p>Input data: 1) <inline-formula><inline-graphic xlink:href="pone.0036644.e048.jpg" mimetype="image"></inline-graphic></inline-formula> original DNA sequence in nucleotides (<italic>NCBI</italic>); 2) <inline-formula><inline-graphic xlink:href="pone.0036644.e049.jpg" mimetype="image"></inline-graphic></inline-formula>; and 3) <inline-formula><inline-graphic xlink:href="pone.0036644.e050.jpg" mimetype="image"></inline-graphic></inline-formula>.</p><list list-type="bullet"><list-item><p><bold>Step 1</bold> - Generate all primitive polynomials <inline-formula><inline-graphic xlink:href="pone.0036644.e051.jpg" mimetype="image"></inline-graphic></inline-formula> with degree <inline-formula><inline-graphic xlink:href="pone.0036644.e052.jpg" mimetype="image"></inline-graphic></inline-formula> to be used in the Galois ring extensions;</p></list-item><list-item><p><bold>Step 2</bold> - Select one <inline-formula><inline-graphic xlink:href="pone.0036644.e053.jpg" mimetype="image"></inline-graphic></inline-formula> from <bold>Step 1</bold>, and find the set in which the elements have the inverse, the group of units of <inline-formula><inline-graphic xlink:href="pone.0036644.e054.jpg" mimetype="image"></inline-graphic></inline-formula>, denoted by <inline-formula><inline-graphic xlink:href="pone.0036644.e055.jpg" mimetype="image"></inline-graphic></inline-formula>;</p></list-item><list-item><p><bold>Step 3</bold> - Find the generator and parity-check polynomials of the BCH code by knowing the minimum distance and the primitive polynomial derived in <bold>Step 2</bold>. In this way, the generator, as well as the parity-check matrices and its transposes, are determined;</p></list-item><list-item><p><bold>Step 4</bold> - From the mapping <inline-formula><inline-graphic xlink:href="pone.0036644.e056.jpg" mimetype="image"></inline-graphic></inline-formula>, convert the <italic>seq</italic> with elements in <inline-formula><inline-graphic xlink:href="pone.0036644.e057.jpg" mimetype="image"></inline-graphic></inline-formula> into the corresponding sequence with elements in <inline-formula><inline-graphic xlink:href="pone.0036644.e058.jpg" mimetype="image"></inline-graphic></inline-formula>;</p></list-item><list-item><p><bold>Step 5</bold> - Verify by use of the syndrome <inline-formula><inline-graphic xlink:href="pone.0036644.e059.jpg" mimetype="image"></inline-graphic></inline-formula>, whether or not each of the converted DNA sequences is a codeword:</p><list list-type="simple"><list-item><p>If <inline-formula><inline-graphic xlink:href="pone.0036644.e060.jpg" mimetype="image"></inline-graphic></inline-formula>, then store the sequence;</p></list-item><list-item><p>If <inline-formula><inline-graphic xlink:href="pone.0036644.e061.jpg" mimetype="image"></inline-graphic></inline-formula> implies that up to <inline-formula><inline-graphic xlink:href="pone.0036644.e062.jpg" mimetype="image"></inline-graphic></inline-formula> nucleotide differences may exist. If so, then the <inline-formula><inline-graphic xlink:href="pone.0036644.e063.jpg" mimetype="image"></inline-graphic></inline-formula> combinations <inline-formula><inline-graphic xlink:href="pone.0036644.e064.jpg" mimetype="image"></inline-graphic></inline-formula> to <inline-formula><inline-graphic xlink:href="pone.0036644.e065.jpg" mimetype="image"></inline-graphic></inline-formula> must be considered by taking into account the other three nucleotide possibilities in each of the combinations of the DNA sequence. Verify that every combination is a codeword: if so, store it; otherwise disregard it;</p></list-item></list></list-item><list-item><p><bold>Step 6</bold> - From the mapping <inline-formula><inline-graphic xlink:href="pone.0036644.e066.jpg" mimetype="image"></inline-graphic></inline-formula> convert each stored sequence in <bold>Step 5</bold> with elements in <inline-formula><inline-graphic xlink:href="pone.0036644.e067.jpg" mimetype="image"></inline-graphic></inline-formula> into the corresponding sequence with elements in <inline-formula><inline-graphic xlink:href="pone.0036644.e068.jpg" mimetype="image"></inline-graphic></inline-formula>. Compare each of these sequences with the <italic>seq</italic> and show the position at which the nucleotides differ;</p></list-item><list-item><p><bold>Step 7</bold> - Go to <bold>Step 1</bold>. Select another <inline-formula><inline-graphic xlink:href="pone.0036644.e069.jpg" mimetype="image"></inline-graphic></inline-formula> and verify whether or not all the <inline-formula><inline-graphic xlink:href="pone.0036644.e070.jpg" mimetype="image"></inline-graphic></inline-formula> have already been used: if not, repeat <bold>Steps 2</bold> to <bold>6</bold> for each <inline-formula><inline-graphic xlink:href="pone.0036644.e071.jpg" mimetype="image"></inline-graphic></inline-formula> from <bold>Step 1</bold>; otherwise, go to <bold>Step 8</bold>.</p></list-item><list-item><p><bold>Step 8</bold> - End.</p></list-item></list></sec></sec><sec id="s3"><title>Results and Discussion</title><p>We have successfully applied this algorithm to the TRAV7 gene sequence and the plasmid <italic>Lactococcus lactis</italic> genome sequence. These sequences are represented in <xref ref-type="table" rid="pone-0036644-t001">Table 1</xref> and <xref ref-type="table" rid="pone-0036644-t002">Table 2</xref> using the following abbreviations: Ont = original nucleotide; Olb = original labeling; Glb = generated labeling and Gnt = generated nucleotide. Although we have used all the <inline-formula><inline-graphic xlink:href="pone.0036644.e072.jpg" mimetype="image"></inline-graphic></inline-formula>, all the corresponding <inline-formula><inline-graphic xlink:href="pone.0036644.e073.jpg" mimetype="image"></inline-graphic></inline-formula>, and all the possible minimum code distances in the construction of the BCH code over <inline-formula><inline-graphic xlink:href="pone.0036644.e074.jpg" mimetype="image"></inline-graphic></inline-formula>, the results show that only codes with the minimum distance <inline-formula><inline-graphic xlink:href="pone.0036644.e075.jpg" mimetype="image"></inline-graphic></inline-formula> associated with a specific <inline-formula><inline-graphic xlink:href="pone.0036644.e076.jpg" mimetype="image"></inline-graphic></inline-formula>, which in turn is associated with its <inline-formula><inline-graphic xlink:href="pone.0036644.e077.jpg" mimetype="image"></inline-graphic></inline-formula> and labeling, are able to identify the TRAV7 gene and the plasmid genome sequences. Consequently, the algebraic structure, alphabet, labeling, <inline-formula><inline-graphic xlink:href="pone.0036644.e078.jpg" mimetype="image"></inline-graphic></inline-formula>, and <inline-formula><inline-graphic xlink:href="pone.0036644.e079.jpg" mimetype="image"></inline-graphic></inline-formula> have to be considered in the construction of BCH codes over rings.</p><table-wrap id="pone-0036644-t001" position="float"><object-id pub-id-type="doi">10.1371/journal.pone.0036644.t001</object-id><label>Table 1</label><caption><title><italic>TRAV7 gene sequence</italic> chromosome 14.</title></caption><alternatives><graphic id="pone-0036644-t001-1" xlink:href="pone.0036644.t001"></graphic><table frame="hsides" rules="groups"><colgroup span="1"><col align="left" span="1"></col><col align="center" span="1"></col><col align="center" span="1"></col><col align="center" span="1"></col><col align="center" span="1"></col><col align="center" span="1"></col><col align="center" span="1"></col><col align="center" span="1"></col></colgroup><tbody><tr><td align="left" rowspan="1" colspan="1">1</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atggagaaga</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tgcggagacc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tgtcctaatt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atattttgtc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tatgtcttgg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ctgtaagttg</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">0311010010</td><td align="left" rowspan="1" colspan="1">3121101022</td><td align="left" rowspan="1" colspan="1">3132230033</td><td align="left" rowspan="1" colspan="1">0303333132</td><td align="left" rowspan="1" colspan="1">3031323311</td><td align="left" rowspan="1" colspan="1">2313001331</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">0311010010</td><td align="left" rowspan="1" colspan="1">3121101022</td><td align="left" rowspan="1" colspan="1">3132230033</td><td align="left" rowspan="1" colspan="1">0303333132</td><td align="left" rowspan="1" colspan="1">3031323311</td><td align="left" rowspan="1" colspan="1">2313001331</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atggagaaga</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tgcggagacc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tgtcctaatt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atattttgtc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tatgtcttgg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ctgtaagttg</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">61</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agggttctaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gaactgggga</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ccccaggaga</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">catttattca</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agtccttttg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gggagatggg</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">0111332300</td><td align="left" rowspan="1" colspan="1">1002311110</td><td align="left" rowspan="1" colspan="1">2222011010</td><td align="left" rowspan="1" colspan="1">2033303320</td><td align="left" rowspan="1" colspan="1">0132233331</td><td align="left" rowspan="1" colspan="1">1110103111</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">0111332300</td><td align="left" rowspan="1" colspan="1">1002311110</td><td align="left" rowspan="1" colspan="1">2222011010</td><td align="left" rowspan="1" colspan="1">2033303320</td><td align="left" rowspan="1" colspan="1">0132233331</td><td align="left" rowspan="1" colspan="1">1110103111</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agggttctaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gaactgggga</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ccccaggaga</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">catttattca</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agtccttttg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gggagatggg</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">121</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gatgtagtct</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ggacttactt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gtcattgctt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gtttgagatt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aagaaataaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">attatgaaag</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">1031301323</td><td align="left" rowspan="1" colspan="1">1102330233</td><td align="left" rowspan="1" colspan="1">1320331233</td><td align="left" rowspan="1" colspan="1">1333101033</td><td align="left" rowspan="1" colspan="1">0010003000</td><td align="left" rowspan="1" colspan="1">0330310001</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">1131301323</td><td align="left" rowspan="1" colspan="1">1102330233</td><td align="left" rowspan="1" colspan="1">1320331233</td><td align="left" rowspan="1" colspan="1">1333101033</td><td align="left" rowspan="1" colspan="1">0010003000</td><td align="left" rowspan="1" colspan="1">0330310001</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ggtgtagtct</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ggacttactt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gtcattgctt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gtttgagatt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aagaaataaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">attatgaaag</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">181</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gtctaaatta</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaatgtacat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">attgtacctg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atgtctttct</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gaataggggc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaatggagaa</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">1323000330</td><td align="left" rowspan="1" colspan="1">0003130203</td><td align="left" rowspan="1" colspan="1">0331302231</td><td align="left" rowspan="1" colspan="1">0313233323</td><td align="left" rowspan="1" colspan="1">1003011112</td><td align="left" rowspan="1" colspan="1">0003110100</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">1323000330</td><td align="left" rowspan="1" colspan="1">0003130203</td><td align="left" rowspan="1" colspan="1">0331302231</td><td align="left" rowspan="1" colspan="1">0313233323</td><td align="left" rowspan="1" colspan="1">1003011112</td><td align="left" rowspan="1" colspan="1">0003110100</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gtctaaatta</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaatgtacat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">attgtacctg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atgtctttct</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gaataggggc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaatggagaa</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">241</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaccaggtgg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agcacagccc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tcattttctg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ggaccccagc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agggagacgt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tgcctccatg</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">0022011311</td><td align="left" rowspan="1" colspan="1">0120201222</td><td align="left" rowspan="1" colspan="1">3203333231</td><td align="left" rowspan="1" colspan="1">1102222012</td><td align="left" rowspan="1" colspan="1">0111010213</td><td align="left" rowspan="1" colspan="1">3122322031</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">0022011311</td><td align="left" rowspan="1" colspan="1">0120201222</td><td align="left" rowspan="1" colspan="1">3203333231</td><td align="left" rowspan="1" colspan="1">1102222012</td><td align="left" rowspan="1" colspan="1">0111010213</td><td align="left" rowspan="1" colspan="1">3122322031</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaccaggtgg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agcacagccc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tcattttctg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ggaccccagc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agggagacgt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tgcctccatg</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">301</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agctgcacgt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">actctgtcag</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tcgttttaac</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aatttgcagt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ggtacaggca</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaatacaggg</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">0123120213</td><td align="left" rowspan="1" colspan="1">0232313201</td><td align="left" rowspan="1" colspan="1">3213333002</td><td align="left" rowspan="1" colspan="1">0033312013</td><td align="left" rowspan="1" colspan="1">1130201120</td><td align="left" rowspan="1" colspan="1">0003020111</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">0123120213</td><td align="left" rowspan="1" colspan="1">0232313201</td><td align="left" rowspan="1" colspan="1">3213333002</td><td align="left" rowspan="1" colspan="1">0033312013</td><td align="left" rowspan="1" colspan="1">1130201120</td><td align="left" rowspan="1" colspan="1">0003020111</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agctgcacgt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">actctgtcag</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tcgttttaac</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aatttgcagt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ggtacaggca</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaatacaggg</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">361</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atgggtccca</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aacacctatt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atccatgtat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tcagctggat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atgagaagca</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gaaaggaaga</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">0311132220</td><td align="left" rowspan="1" colspan="1">0020223033</td><td align="left" rowspan="1" colspan="1">0322031303</td><td align="left" rowspan="1" colspan="1">3201231103</td><td align="left" rowspan="1" colspan="1">0310100120</td><td align="left" rowspan="1" colspan="1">1000110010</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">0311132220</td><td align="left" rowspan="1" colspan="1">0020223033</td><td align="left" rowspan="1" colspan="1">0322031303</td><td align="left" rowspan="1" colspan="1">3201231103</td><td align="left" rowspan="1" colspan="1">0310100120</td><td align="left" rowspan="1" colspan="1">1000110010</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atgggtccca</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aacacctatt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atccatgtat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tcagctggat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atgagaagca</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gaaaggaaga</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">421</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ctaaatgcta</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">cattactgaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gaatggaagc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agcttgtaca</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttacagccgt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gcagcctgaa</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">2300031230</td><td align="left" rowspan="1" colspan="1">2033023100</td><td align="left" rowspan="1" colspan="1">1003110012</td><td align="left" rowspan="1" colspan="1">0123313020</td><td align="left" rowspan="1" colspan="1">3302012213</td><td align="left" rowspan="1" colspan="1">1201223100</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">2300031230</td><td align="left" rowspan="1" colspan="1">2033023100</td><td align="left" rowspan="1" colspan="1">1003110012</td><td align="left" rowspan="1" colspan="1">0123313020</td><td align="left" rowspan="1" colspan="1">3302012213</td><td align="left" rowspan="1" colspan="1">1201223100</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ctaaatgcta</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">cattactgaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gaatggaagc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agcttgtaca</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttacagccgt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gcagcctgaa</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">481</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gattcagcca</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">cctatttctg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tgctgtagat</named-content></td><td align="left" rowspan="1" colspan="1">g</td><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1"></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">1033201220</td><td align="left" rowspan="1" colspan="1">2230333231</td><td align="left" rowspan="1" colspan="1">3123130103</td><td align="left" rowspan="1" colspan="1">1</td><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1"></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">1033201220</td><td align="left" rowspan="1" colspan="1">2230333231</td><td align="left" rowspan="1" colspan="1">3123130103</td><td align="left" rowspan="1" colspan="1">1</td><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1"></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gattcagcca</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">cctatttctg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tgctgtagat</named-content></td><td align="left" rowspan="1" colspan="1">g</td><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1"></td></tr></tbody></table></alternatives></table-wrap><table-wrap id="pone-0036644-t002" position="float"><object-id pub-id-type="doi">10.1371/journal.pone.0036644.t002</object-id><label>Table 2</label><caption><title><italic>Lactococcus lactis</italic> plasmid genomic sequence.</title></caption><alternatives><graphic id="pone-0036644-t002-2" xlink:href="pone.0036644.t002"></graphic><table frame="hsides" rules="groups"><colgroup span="1"><col align="left" span="1"></col><col align="center" span="1"></col><col align="center" span="1"></col><col align="center" span="1"></col><col align="center" span="1"></col><col align="center" span="1"></col><col align="center" span="1"></col><col align="center" span="1"></col></colgroup><tbody><tr><td align="left" rowspan="1" colspan="1">1</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">cctacatttt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tttattgctc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tgctatgatt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gtttatcgat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agttttttat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">acagataagc</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">1130103333</td><td align="left" rowspan="1" colspan="1">3330332131</td><td align="left" rowspan="1" colspan="1">3213032033</td><td align="left" rowspan="1" colspan="1">2333031203</td><td align="left" rowspan="1" colspan="1">0233333303</td><td align="left" rowspan="1" colspan="1">0102030021</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">1130103333</td><td align="left" rowspan="1" colspan="1">3330332131</td><td align="left" rowspan="1" colspan="1">3213032033</td><td align="left" rowspan="1" colspan="1">2333031203</td><td align="left" rowspan="1" colspan="1">0233333303</td><td align="left" rowspan="1" colspan="1">0102030021</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">cctacatttt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tttattgctc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tgctatgatt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gtttatcgat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agttttttat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">acagataagc</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">61</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gtgcgacgct</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tgctctttcc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gaggaggaag</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tcatgctgac</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aagcacggca</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gagcctccgc</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">2321201213</td><td align="left" rowspan="1" colspan="1">3213133311</td><td align="left" rowspan="1" colspan="1">2022022002</td><td align="left" rowspan="1" colspan="1">3103213201</td><td align="left" rowspan="1" colspan="1">0021012210</td><td align="left" rowspan="1" colspan="1">2021131121</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">2321201213</td><td align="left" rowspan="1" colspan="1">3213133311</td><td align="left" rowspan="1" colspan="1">2022022002</td><td align="left" rowspan="1" colspan="1">3103213201</td><td align="left" rowspan="1" colspan="1">0021012210</td><td align="left" rowspan="1" colspan="1">2021131121</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gtgcgacgct</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tgctctttcc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gaggaggaag</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tcatgctgac</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aagcacggca</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gagcctccgc</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">121</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atgaaatgct</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ctcaatgaaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttgccggcgg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agcttttttg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agcttgtgcc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">acttgcgaaa</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">0320003213</td><td align="left" rowspan="1" colspan="1">1310032000</td><td align="left" rowspan="1" colspan="1">3321122122</td><td align="left" rowspan="1" colspan="1">0213333332</td><td align="left" rowspan="1" colspan="1">0213323211</td><td align="left" rowspan="1" colspan="1">0133212000</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">0320003213</td><td align="left" rowspan="1" colspan="1">1310032000</td><td align="left" rowspan="1" colspan="1">3321122122</td><td align="left" rowspan="1" colspan="1">0213333332</td><td align="left" rowspan="1" colspan="1">0213323211</td><td align="left" rowspan="1" colspan="1">0133212000</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atgaaatgct</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ctcaatgaaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttgccggcgg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agcttttttg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agcttgtgcc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">acttgcgaaa</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">181</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaaacaagaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">caaaagagac</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aggaaactgt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ctttttttgc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttgcttgggg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">attggggcaa</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">0000100200</td><td align="left" rowspan="1" colspan="1">1000020201</td><td align="left" rowspan="1" colspan="1">0220001323</td><td align="left" rowspan="1" colspan="1">1333333321</td><td align="left" rowspan="1" colspan="1">3321332222</td><td align="left" rowspan="1" colspan="1">0332222100</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">0000100200</td><td align="left" rowspan="1" colspan="1">1000020201</td><td align="left" rowspan="1" colspan="1">0220001323</td><td align="left" rowspan="1" colspan="1">1333333321</td><td align="left" rowspan="1" colspan="1">3321332222</td><td align="left" rowspan="1" colspan="1">0332222100</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaaacaagaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">caaaagagac</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aggaaactgt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ctttttttgc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttgcttgggg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">attggggcaa</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">241</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">cgccccaaaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ataaaaagaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tcgtctgaaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">cgaggaacaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">actaaaatgt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaattttagt</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">1211110000</td><td align="left" rowspan="1" colspan="1">0300000200</td><td align="left" rowspan="1" colspan="1">3123132000</td><td align="left" rowspan="1" colspan="1">1202200100</td><td align="left" rowspan="1" colspan="1">0130000323</td><td align="left" rowspan="1" colspan="1">0003333023</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">1211110000</td><td align="left" rowspan="1" colspan="1">0300000200</td><td align="left" rowspan="1" colspan="1">3123132000</td><td align="left" rowspan="1" colspan="1">1202200100</td><td align="left" rowspan="1" colspan="1">0130000323</td><td align="left" rowspan="1" colspan="1">0003333023</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">cgccccaaaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ataaaaagaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tcgtctgaaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">cgaggaacaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">actaaaatgt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaattttagt</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">301</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tgttaccgag</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tggaagatga</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atacttttta</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">acctatgtgt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atacacacat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agtaagctcg</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">3233011202</td><td align="left" rowspan="1" colspan="1">3220020320</td><td align="left" rowspan="1" colspan="1">0301333330</td><td align="left" rowspan="1" colspan="1">0113032323</td><td align="left" rowspan="1" colspan="1">0301010103</td><td align="left" rowspan="1" colspan="1">0230021312</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">3233011202</td><td align="left" rowspan="1" colspan="1">3220020320</td><td align="left" rowspan="1" colspan="1">0301333330</td><td align="left" rowspan="1" colspan="1">0113032323</td><td align="left" rowspan="1" colspan="1">0301010103</td><td align="left" rowspan="1" colspan="1">0230021312</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tgttaccgag</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tggaagatga</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atacttttta</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">acctatgtgt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atacacacat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agtaagctcg</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">361</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ctataatact</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttataacgtt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tttatttaca</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tgagcaaagc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gagtttttcc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aacacgttta</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">1303003013</td><td align="left" rowspan="1" colspan="1">3303001233</td><td align="left" rowspan="1" colspan="1">3330333010</td><td align="left" rowspan="1" colspan="1">3202100021</td><td align="left" rowspan="1" colspan="1">2023333311</td><td align="left" rowspan="1" colspan="1">0010123330</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">1303003013</td><td align="left" rowspan="1" colspan="1">3303001233</td><td align="left" rowspan="1" colspan="1">3330333010</td><td align="left" rowspan="1" colspan="1">3202100021</td><td align="left" rowspan="1" colspan="1">2023333311</td><td align="left" rowspan="1" colspan="1">0010123330</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ctataatact</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttataacgtt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tttatttaca</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tgagcaaagc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gagtttttcc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aacacgttta</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">421</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atctaaaata</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttggcaattt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ataccatgat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tttcatggta</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tgtaagtgcg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">cccttaggaa</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">0313000030</td><td align="left" rowspan="1" colspan="1">3322100333</td><td align="left" rowspan="1" colspan="1">0301103203</td><td align="left" rowspan="1" colspan="1">3331032230</td><td align="left" rowspan="1" colspan="1">3230023212</td><td align="left" rowspan="1" colspan="1">1113302200</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">0313000030</td><td align="left" rowspan="1" colspan="1">3322100333</td><td align="left" rowspan="1" colspan="1">0301103203</td><td align="left" rowspan="1" colspan="1">3331032230</td><td align="left" rowspan="1" colspan="1">3230023212</td><td align="left" rowspan="1" colspan="1">1113302200</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atctaaaata</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttggcaattt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ataccatgat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tttcatggta</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tgtaagtgcg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">cccttaggaa</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">481</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aataatttga</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atatatttca</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gattttcaat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ctgactgctc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ctgtcatcga</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gcagaccgat</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">0030033320</td><td align="left" rowspan="1" colspan="1">0303033310</td><td align="left" rowspan="1" colspan="1">2033331003</td><td align="left" rowspan="1" colspan="1">1320132131</td><td align="left" rowspan="1" colspan="1">1323103120</td><td align="left" rowspan="1" colspan="1">2102011203</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">0030033320</td><td align="left" rowspan="1" colspan="1">0303033310</td><td align="left" rowspan="1" colspan="1">2033331003</td><td align="left" rowspan="1" colspan="1">1320132131</td><td align="left" rowspan="1" colspan="1">1323103120</td><td align="left" rowspan="1" colspan="1">2102011203</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aataatttga</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atatatttca</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gattttcaat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ctgactgctc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ctgtcatcga</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gcagaccgat</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">541</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gaggaaaaca</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaaagaggac</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">taaacaaaaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agtttagtcc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tctttttgtt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttgaatagtt</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">2022000010</td><td align="left" rowspan="1" colspan="1">0000202201</td><td align="left" rowspan="1" colspan="1">3000100000</td><td align="left" rowspan="1" colspan="1">0233302311</td><td align="left" rowspan="1" colspan="1">3133333233</td><td align="left" rowspan="1" colspan="1">3320030233</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">2022000010</td><td align="left" rowspan="1" colspan="1">0000202201</td><td align="left" rowspan="1" colspan="1">3000100000</td><td align="left" rowspan="1" colspan="1">0233302311</td><td align="left" rowspan="1" colspan="1">3133333233</td><td align="left" rowspan="1" colspan="1">3320030233</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gaggaaaaca</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaaagaggac</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">taaacaaaaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agtttagtcc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tctttttgtt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttgaatagtt</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">601</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ctagaacgtc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atattttgcg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttttaagcaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttttgactaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ctaggcgggg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atttttactt</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">1302001231</td><td align="left" rowspan="1" colspan="1">0303333212</td><td align="left" rowspan="1" colspan="1">3333002100</td><td align="left" rowspan="1" colspan="1">3333201300</td><td align="left" rowspan="1" colspan="1">1302212222</td><td align="left" rowspan="1" colspan="1">0333330133</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">1302001231</td><td align="left" rowspan="1" colspan="1">0303333212</td><td align="left" rowspan="1" colspan="1">3333002100</td><td align="left" rowspan="1" colspan="1">3333201300</td><td align="left" rowspan="1" colspan="1">1302212222</td><td align="left" rowspan="1" colspan="1">0333330133</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ctagaacgtc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atattttgcg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttttaagcaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttttgactaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ctaggcgggg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atttttactt</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">661</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agaaattatt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">caaaacgtct</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gtaaagtgct</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">taaaatcgtt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tctaagagct</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tttagcgttt</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">0200033033</td><td align="left" rowspan="1" colspan="1">1000012313</td><td align="left" rowspan="1" colspan="1">2300023213</td><td align="left" rowspan="1" colspan="1">3000031233</td><td align="left" rowspan="1" colspan="1">3130020213</td><td align="left" rowspan="1" colspan="1">3330212333</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">0200033033</td><td align="left" rowspan="1" colspan="1">1000012313</td><td align="left" rowspan="1" colspan="1">2300023213</td><td align="left" rowspan="1" colspan="1">3000031233</td><td align="left" rowspan="1" colspan="1">3130020213</td><td align="left" rowspan="1" colspan="1">3330212333</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agaaattatt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">caaaacgtct</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gtaaagtgct</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">taaaatcgtt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tctaagagct</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tttagcgttt</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">721</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atttcgttta</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gttatcggca</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">taatcgttaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aacaggcgtt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atcgtagcgg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaaagccctt</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">0333123330</td><td align="left" rowspan="1" colspan="1">2330312210</td><td align="left" rowspan="1" colspan="1">3003123300</td><td align="left" rowspan="1" colspan="1">0010221233</td><td align="left" rowspan="1" colspan="1">0312302122</td><td align="left" rowspan="1" colspan="1">0000211133</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">0333123330</td><td align="left" rowspan="1" colspan="1">2330312210</td><td align="left" rowspan="1" colspan="1">3003123300</td><td align="left" rowspan="1" colspan="1">0010221233</td><td align="left" rowspan="1" colspan="1">0312302122</td><td align="left" rowspan="1" colspan="1">0000211133</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atttcgttta</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gttatcggca</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">taatcgttaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aacaggcgtt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atcgtagcgg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaaagccctt</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">781</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gagcgtagcg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tggctttgca</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gtgaagatgt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tgtctgttag</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">attatgaaag</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ccgataactg</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">2021230212</td><td align="left" rowspan="1" colspan="1">3221333210</td><td align="left" rowspan="1" colspan="1">2320020323</td><td align="left" rowspan="1" colspan="1">3231323302</td><td align="left" rowspan="1" colspan="1">0330320002</td><td align="left" rowspan="1" colspan="1">1120300132</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">2021230212</td><td align="left" rowspan="1" colspan="1">3221333210</td><td align="left" rowspan="1" colspan="1">2320020323</td><td align="left" rowspan="1" colspan="1">3231323302</td><td align="left" rowspan="1" colspan="1">0330320002</td><td align="left" rowspan="1" colspan="1">1120300132</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gagcgtagcg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tggctttgca</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gtgaagatgt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tgtctgttag</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">attatgaaag</named-content></td><td align="left" rowspan="1" colspan="1">ccgataactg</td></tr><tr><td align="left" rowspan="1" colspan="1">841</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1">aatgaaataa</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">taagcgtagc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gccccttatt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tcggtcggag</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gaggctcaag</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ggagtttgag</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">0032000300</td><td align="left" rowspan="1" colspan="1">3002123021</td><td align="left" rowspan="1" colspan="1">2111133033</td><td align="left" rowspan="1" colspan="1">3122312202</td><td align="left" rowspan="1" colspan="1">2022131002</td><td align="left" rowspan="1" colspan="1">2202333202</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">0032000300</td><td align="left" rowspan="1" colspan="1">3002123021</td><td align="left" rowspan="1" colspan="1">2111133033</td><td align="left" rowspan="1" colspan="1">3122312202</td><td align="left" rowspan="1" colspan="1">2022131002</td><td align="left" rowspan="1" colspan="1">2202333202</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aatgaaataa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">taagcgtagc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gccccttatt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tcggtcggag</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gaggctcaag</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ggagtttgag</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">901</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ggaatgaaat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tccctcatgg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttttaaaatt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gcttgcaatt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttgccgagcg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gtagcgctgg</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">2200320003</td><td align="left" rowspan="1" colspan="1">3111310322</td><td align="left" rowspan="1" colspan="1">3333000033</td><td align="left" rowspan="1" colspan="1">2133210033</td><td align="left" rowspan="1" colspan="1">3321120212</td><td align="left" rowspan="1" colspan="1">2302121322</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">2200320003</td><td align="left" rowspan="1" colspan="1">3111310322</td><td align="left" rowspan="1" colspan="1">3333000033</td><td align="left" rowspan="1" colspan="1">2133210033</td><td align="left" rowspan="1" colspan="1">3321120212</td><td align="left" rowspan="1" colspan="1">2302121322</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ggaatgaaat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tccctcatgg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttttaaaatt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gcttgcaatt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttgccgagcg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gtagcgctgg</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">961</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaaatttttg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaaaaaattt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ggaatttgga</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaaatggggg</named-content></td><td align="left" rowspan="1" colspan="1">ggtactacga</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ccccccccta</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">0000333332</td><td align="left" rowspan="1" colspan="1">0000000333</td><td align="left" rowspan="1" colspan="1">2200333220</td><td align="left" rowspan="1" colspan="1">0000322222</td><td align="left" rowspan="1" colspan="1">2230130120</td><td align="left" rowspan="1" colspan="1">1111111130</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">0000333332</td><td align="left" rowspan="1" colspan="1">0000000333</td><td align="left" rowspan="1" colspan="1">2200333220</td><td align="left" rowspan="1" colspan="1">0000322222</td><td align="left" rowspan="1" colspan="1">2230130120</td><td align="left" rowspan="1" colspan="1">1111111130</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaaatttttg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaaaaaattt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ggaatttgga</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaaatggggg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ggtactacga</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ccccccccta</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">1021</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tgtggtaatt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tggtaacttg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gtcaaaattg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atactaatat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atattaaaac</named-content></td><td align="left" rowspan="1" colspan="1">agcacaaaac</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">3232230033</td><td align="left" rowspan="1" colspan="1">3223001332</td><td align="left" rowspan="1" colspan="1">2310000332</td><td align="left" rowspan="1" colspan="1">0301300303</td><td align="left" rowspan="1" colspan="1">0303300001</td><td align="left" rowspan="1" colspan="1">0210100001</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">3232230033</td><td align="left" rowspan="1" colspan="1">3223001332</td><td align="left" rowspan="1" colspan="1">2310000332</td><td align="left" rowspan="1" colspan="1">0301300303</td><td align="left" rowspan="1" colspan="1">0303300001</td><td align="left" rowspan="1" colspan="1">0210100001</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tgtggtaatt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tggtaacttg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gtcaaaattg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atactaatat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atattaaaac</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agcacaaaac</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">1081</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agaatcttat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gatataataa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gatatactga</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aatttgaagg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agtaaaaaat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ggcagaagag</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">0200313303</td><td align="left" rowspan="1" colspan="1">2030300300</td><td align="left" rowspan="1" colspan="1">2030301320</td><td align="left" rowspan="1" colspan="1">0033320022</td><td align="left" rowspan="1" colspan="1">0230000003</td><td align="left" rowspan="1" colspan="1">2210200202</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">0200313303</td><td align="left" rowspan="1" colspan="1">2030300300</td><td align="left" rowspan="1" colspan="1">2030301320</td><td align="left" rowspan="1" colspan="1">0033320022</td><td align="left" rowspan="1" colspan="1">0230000003</td><td align="left" rowspan="1" colspan="1">2210200202</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agaatcttat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gatataataa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gatatactga</named-content></td><td align="left" rowspan="1" colspan="1">aatttgaagg</td><td align="left" rowspan="1" colspan="1">agtaaaaaat</td><td align="left" rowspan="1" colspan="1">ggcagaagag</td></tr><tr><td align="left" rowspan="1" colspan="1">1141</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaaaaaagag</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttttgctaac</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tttgtcgttg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gacaaagcag</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aagaattaga</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aactatatca</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">0000000202</td><td align="left" rowspan="1" colspan="1">3333213001</td><td align="left" rowspan="1" colspan="1">3332312332</td><td align="left" rowspan="1" colspan="1">2010002102</td><td align="left" rowspan="1" colspan="1">0020033020</td><td align="left" rowspan="1" colspan="1">0013030310</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">0000000202</td><td align="left" rowspan="1" colspan="1">3333213001</td><td align="left" rowspan="1" colspan="1">3332312332</td><td align="left" rowspan="1" colspan="1">2010002102</td><td align="left" rowspan="1" colspan="1">0020033020</td><td align="left" rowspan="1" colspan="1">0013030310</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaaaaaagag</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttttgctaac</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tttgtcgttg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gacaaagcag</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aagaattaga</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aactatatca</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">1201</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaagaaatgg</named-content></td><td align="left" rowspan="1" colspan="1">gaattagtaa</td><td align="left" rowspan="1" colspan="1">atctgctctt</td><td align="left" rowspan="1" colspan="1">gttagtttat</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ggattgcgga</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaattctaga</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">0002000322</td><td align="left" rowspan="1" colspan="1">2003302300</td><td align="left" rowspan="1" colspan="1">0313213133</td><td align="left" rowspan="1" colspan="1">2330233303</td><td align="left" rowspan="1" colspan="1">2203321220</td><td align="left" rowspan="1" colspan="1">0003313020</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">0002000322</td><td align="left" rowspan="1" colspan="1">2003302300</td><td align="left" rowspan="1" colspan="1">0313213133</td><td align="left" rowspan="1" colspan="1">2330233303</td><td align="left" rowspan="1" colspan="1">2203321220</td><td align="left" rowspan="1" colspan="1">0003313020</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaagaaatgg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gaattagtaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atctgctctt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gttagtttat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ggattgcgga</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaattctaga</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">1261</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaataaaaaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agagccacgg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">cgaatggctc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tagtatattt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">acggttagga</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atattatagc</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">0003000000</td><td align="left" rowspan="1" colspan="1">0202110122</td><td align="left" rowspan="1" colspan="1">1200322131</td><td align="left" rowspan="1" colspan="1">3023030333</td><td align="left" rowspan="1" colspan="1">0122330220</td><td align="left" rowspan="1" colspan="1">0303303021</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">0003000000</td><td align="left" rowspan="1" colspan="1">0202110122</td><td align="left" rowspan="1" colspan="1">1200322131</td><td align="left" rowspan="1" colspan="1">3023030333</td><td align="left" rowspan="1" colspan="1">0122330220</td><td align="left" rowspan="1" colspan="1">0303303021</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaataaaaaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agagccacgg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">cgaatggctc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tagtatattt</named-content></td><td align="left" rowspan="1" colspan="1">acggttagga</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atattatagc</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">1321</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atatgacaga</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaaaaaacta</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gaaaaaaatg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">acccagttag</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaactggagt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tgggttgttt</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">0303201020</td><td align="left" rowspan="1" colspan="1">0000000130</td><td align="left" rowspan="1" colspan="1">2000000032</td><td align="left" rowspan="1" colspan="1">0111023302</td><td align="left" rowspan="1" colspan="1">0001322023</td><td align="left" rowspan="1" colspan="1">3222332333</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">0303201020</td><td align="left" rowspan="1" colspan="1">0000000130</td><td align="left" rowspan="1" colspan="1">2000000032</td><td align="left" rowspan="1" colspan="1">0111023302</td><td align="left" rowspan="1" colspan="1">0001322023</td><td align="left" rowspan="1" colspan="1">3222332333</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atatgacaga</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaaaaaacta</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gaaaaaaatg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">acccagttag</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaactggagt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tgggttgttt</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">1381</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atccagagtc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tgctcctgaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aattggagaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">cattgttaga</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">cgaaactgga</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gaaaaatgga</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">0311020231</td><td align="left" rowspan="1" colspan="1">3213113200</td><td align="left" rowspan="1" colspan="1">0033220200</td><td align="left" rowspan="1" colspan="1">1033233020</td><td align="left" rowspan="1" colspan="1">1200013220</td><td align="left" rowspan="1" colspan="1">2000003220</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">0311020231</td><td align="left" rowspan="1" colspan="1">3213113200</td><td align="left" rowspan="1" colspan="1">0033220200</td><td align="left" rowspan="1" colspan="1">1033233020</td><td align="left" rowspan="1" colspan="1">1200013220</td><td align="left" rowspan="1" colspan="1">2000003220</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atccagagtc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tgctcctgaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aattggagaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">cattgttaga</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">cgaaactgga</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gaaaaatgga</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">1441</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttgagagtcc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gttgcatgat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaagatatta</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">acgaaacaac</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaacgaaccg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaaaaggcac</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">3320202311</td><td align="left" rowspan="1" colspan="1">2332103203</td><td align="left" rowspan="1" colspan="1">0002030330</td><td align="left" rowspan="1" colspan="1">0120001001</td><td align="left" rowspan="1" colspan="1">0001200112</td><td align="left" rowspan="1" colspan="1">0000022101</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">3320202311</td><td align="left" rowspan="1" colspan="1">2332103203</td><td align="left" rowspan="1" colspan="1">0002030330</td><td align="left" rowspan="1" colspan="1">0120001001</td><td align="left" rowspan="1" colspan="1">0001200112</td><td align="left" rowspan="1" colspan="1">0000022101</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttgagagtcc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gttgcatgat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaagatatta</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">acgaaacaac</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaacgaaccg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaaaaggcac</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">1501</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">attggcatat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aataatttct</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttttcaaata</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaaaaagtta</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">taagcaagta</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttaaaaattt</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">0332210303</td><td align="left" rowspan="1" colspan="1">0030033313</td><td align="left" rowspan="1" colspan="1">3333100030</td><td align="left" rowspan="1" colspan="1">0000002330</td><td align="left" rowspan="1" colspan="1">3002100230</td><td align="left" rowspan="1" colspan="1">3300000333</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">0332210303</td><td align="left" rowspan="1" colspan="1">0030033313</td><td align="left" rowspan="1" colspan="1">3333100030</td><td align="left" rowspan="1" colspan="1">0000002330</td><td align="left" rowspan="1" colspan="1">3002101230</td><td align="left" rowspan="1" colspan="1">3300000333</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">attggcatat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aataatttct</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttttcaaata</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaaaaagtta</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">taagcacgta</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttaaaaattt</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">1561</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ctgaaatgtt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaatgcacca</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gagcctgtaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaacaaaaaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tttacaaggg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tcagttcaat</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">1320003233</td><td align="left" rowspan="1" colspan="1">0003210110</td><td align="left" rowspan="1" colspan="1">2021132300</td><td align="left" rowspan="1" colspan="1">0001000000</td><td align="left" rowspan="1" colspan="1">3330100222</td><td align="left" rowspan="1" colspan="1">3102331003</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">1320003233</td><td align="left" rowspan="1" colspan="1">0003210110</td><td align="left" rowspan="1" colspan="1">2021132300</td><td align="left" rowspan="1" colspan="1">0001000000</td><td align="left" rowspan="1" colspan="1">3330100222</td><td align="left" rowspan="1" colspan="1">3102331003</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ctgaaatgtt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaatgcacca</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gagcctgtaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaacaaaaaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tttacaaggg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tcagttcaat</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">1621</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atttgtggca</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">cagaaacaat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">cctgaaaaat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atcagtataa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">taaaagcgat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gttgttgctc</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">0333232210</td><td align="left" rowspan="1" colspan="1">1020001003</td><td align="left" rowspan="1" colspan="1">1132000003</td><td align="left" rowspan="1" colspan="1">0310230300</td><td align="left" rowspan="1" colspan="1">3000021203</td><td align="left" rowspan="1" colspan="1">2332332131</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">0333232210</td><td align="left" rowspan="1" colspan="1">1020001003</td><td align="left" rowspan="1" colspan="1">1132000003</td><td align="left" rowspan="1" colspan="1">0310230300</td><td align="left" rowspan="1" colspan="1">3000021203</td><td align="left" rowspan="1" colspan="1">2332332131</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atttgtggca</named-content></td><td align="left" rowspan="1" colspan="1">cagaaacaat</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">cctgaaaaat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atcagtataa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">taaaagcgat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gttgttgctc</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">1681</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ataatgggtt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">taaatataga</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">caatatttaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">cagatattgg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agttgatact</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gattctattt</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">0300322233</td><td align="left" rowspan="1" colspan="1">3000303020</td><td align="left" rowspan="1" colspan="1">1003033300</td><td align="left" rowspan="1" colspan="1">1020303322</td><td align="left" rowspan="1" colspan="1">0233203013</td><td align="left" rowspan="1" colspan="1">2033130333</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">0300322233</td><td align="left" rowspan="1" colspan="1">3000303020</td><td align="left" rowspan="1" colspan="1">1003033300</td><td align="left" rowspan="1" colspan="1">1020303322</td><td align="left" rowspan="1" colspan="1">0233203013</td><td align="left" rowspan="1" colspan="1">2033130333</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ataatgggtt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">taaatataga</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">caatatttaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">cagatattgg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agttgatact</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gattctattt</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">1741</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tacaagaagt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tatagaatgg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ataaaagaaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ctggatgttc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tgaatataga</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gatttagtcg</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">3010020023</td><td align="left" rowspan="1" colspan="1">3030200322</td><td align="left" rowspan="1" colspan="1">0300002000</td><td align="left" rowspan="1" colspan="1">1322032331</td><td align="left" rowspan="1" colspan="1">3200303020</td><td align="left" rowspan="1" colspan="1">2033302312</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">3010020023</td><td align="left" rowspan="1" colspan="1">3030200322</td><td align="left" rowspan="1" colspan="1">0300002000</td><td align="left" rowspan="1" colspan="1">1322032331</td><td align="left" rowspan="1" colspan="1">3200303020</td><td align="left" rowspan="1" colspan="1">2033302312</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tacaagaagt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tatagaatgg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ataaaagaaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ctggatgttc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tgaatataga</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">gatttagtcg</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">1801</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">attatgcagt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atcagaacgt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttcgatgatt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ggtttcctac</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agtcagaagt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">caaaccatat</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">0330321023</td><td align="left" rowspan="1" colspan="1">0310200123</td><td align="left" rowspan="1" colspan="1">3312032033</td><td align="left" rowspan="1" colspan="1">2233311301</td><td align="left" rowspan="1" colspan="1">0231020023</td><td align="left" rowspan="1" colspan="1">1000110303</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">0330321023</td><td align="left" rowspan="1" colspan="1">0310200123</td><td align="left" rowspan="1" colspan="1">3312032033</td><td align="left" rowspan="1" colspan="1">2233311301</td><td align="left" rowspan="1" colspan="1">0231020023</td><td align="left" rowspan="1" colspan="1">1000110303</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">attatgcagt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atcagaacgt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttcgatgatt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ggtttcctac</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agtcagaagt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">caaaccatat</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">1861</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttttaaattc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttatttacgc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tcaaatcgtc</named-content></td><td align="left" rowspan="1" colspan="1">atagtcagaa</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaaatataat</named-content></td><td align="left" rowspan="1" colspan="1">ccagaaacag</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">3333000331</td><td align="left" rowspan="1" colspan="1">3303330121</td><td align="left" rowspan="1" colspan="1">3100031231</td><td align="left" rowspan="1" colspan="1">0302310200</td><td align="left" rowspan="1" colspan="1">0000303003</td><td align="left" rowspan="1" colspan="1">1102000102</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">3333000331</td><td align="left" rowspan="1" colspan="1">3303330121</td><td align="left" rowspan="1" colspan="1">3100031231</td><td align="left" rowspan="1" colspan="1">0302310200</td><td align="left" rowspan="1" colspan="1">0000303003</td><td align="left" rowspan="1" colspan="1">1102000102</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttttaaattc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ttatttacgc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tcaaatcgtc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atagtcagaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaaatataat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">ccagaaacag</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">1921</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1">gagaggtgtt</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atgaaagttg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaattatagc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tagtgttttt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agtgaaaaat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">cagttcagaa</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">2020223233</td><td align="left" rowspan="1" colspan="1">0320002332</td><td align="left" rowspan="1" colspan="1">0003303021</td><td align="left" rowspan="1" colspan="1">3023233333</td><td align="left" rowspan="1" colspan="1">0232000003</td><td align="left" rowspan="1" colspan="1">1023310200</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">2020223233</td><td align="left" rowspan="1" colspan="1">0320002332</td><td align="left" rowspan="1" colspan="1">0003303021</td><td align="left" rowspan="1" colspan="1">3023233333</td><td align="left" rowspan="1" colspan="1">0232000003</td><td align="left" rowspan="1" colspan="1">1023310200</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1">gagaggtgtt</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atgaaagttg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaattatagc</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tagtgttttt</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">agtgaaaaat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">cagttcagaa</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">1981</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaaagtaaat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aattttattg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">attatttaaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tgacaataat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tttgaagtat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tggaagttca</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">0000230003</td><td align="left" rowspan="1" colspan="1">0033330332</td><td align="left" rowspan="1" colspan="1">0330333000</td><td align="left" rowspan="1" colspan="1">3201003003</td><td align="left" rowspan="1" colspan="1">3332002303</td><td align="left" rowspan="1" colspan="1">3220023310</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">0000230003</td><td align="left" rowspan="1" colspan="1">0033330332</td><td align="left" rowspan="1" colspan="1">0330333000</td><td align="left" rowspan="1" colspan="1">3201003003</td><td align="left" rowspan="1" colspan="1">3332002303</td><td align="left" rowspan="1" colspan="1">3220023310</td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aaaagtaaat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">aattttattg</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">attatttaaa</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tgacaataat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tttgaagtat</named-content></td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">tggaagttca</named-content></td></tr><tr><td align="left" rowspan="1" colspan="1">2041</td><td align="left" rowspan="1" colspan="1">Ont:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atatagg</named-content></td><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1"></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Olb:</td><td align="left" rowspan="1" colspan="1">0303022</td><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1"></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Glb:</td><td align="left" rowspan="1" colspan="1">0303022</td><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1"></td></tr><tr><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1">Gnt:</td><td align="left" rowspan="1" colspan="1"><named-content content-type="gene">atatagg</named-content></td><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1"></td><td align="left" rowspan="1" colspan="1"></td></tr></tbody></table></alternatives></table-wrap><p>The fact that a DNA sequence is identified as a sequence belonging to a codeword set of a BCH code with the minimum distance <inline-formula><inline-graphic xlink:href="pone.0036644.e080.jpg" mimetype="image"></inline-graphic></inline-formula> (and no other minimum distance) implies that this <inline-formula><inline-graphic xlink:href="pone.0036644.e081.jpg" mimetype="image"></inline-graphic></inline-formula> BCH code is equivalent to the Hamming code with parameters <inline-formula><inline-graphic xlink:href="pone.0036644.e082.jpg" mimetype="image"></inline-graphic></inline-formula>, independently of the algebraic structure associated with the alphabet of the code. Therefore, the Hamming codes constructed by considering the group of units <inline-formula><inline-graphic xlink:href="pone.0036644.e083.jpg" mimetype="image"></inline-graphic></inline-formula> in <inline-formula><inline-graphic xlink:href="pone.0036644.e084.jpg" mimetype="image"></inline-graphic></inline-formula> are able to identify and reproduce the DNA sequences that differ by one nucleotide from the posted <italic>NCBI</italic> sequences. We have also noted that the labeling, which is the set consisting of the twenty-four permutations, is split into three subsets, each of which contains eight permutations and defines a labeling denoted by <inline-formula><inline-graphic xlink:href="pone.0036644.e085.jpg" mimetype="image"></inline-graphic></inline-formula>, <inline-formula><inline-graphic xlink:href="pone.0036644.e086.jpg" mimetype="image"></inline-graphic></inline-formula>, and <inline-formula><inline-graphic xlink:href="pone.0036644.e087.jpg" mimetype="image"></inline-graphic></inline-formula> - <xref ref-type="fig" rid="pone-0036644-g001">Figure 1</xref>.</p><p>The TRAV7 predicted gene has 511 nucleotides, and therefore the codeword length is <inline-formula><inline-graphic xlink:href="pone.0036644.e088.jpg" mimetype="image"></inline-graphic></inline-formula> - <xref ref-type="table" rid="pone-0036644-t001">Table 1</xref>. Using the equality <inline-formula><inline-graphic xlink:href="pone.0036644.e089.jpg" mimetype="image"></inline-graphic></inline-formula>, it is easy to calculate the degree <inline-formula><inline-graphic xlink:href="pone.0036644.e090.jpg" mimetype="image"></inline-graphic></inline-formula> of the Galois ring extension, which is 9. The number of <inline-formula><inline-graphic xlink:href="pone.0036644.e091.jpg" mimetype="image"></inline-graphic></inline-formula> for this extension is 48 <xref ref-type="bibr" rid="pone.0036644-McWilliams1">[11]</xref>, <xref ref-type="bibr" rid="pone.0036644-Peterson1">[12]</xref>. Among these, just one <inline-formula><inline-graphic xlink:href="pone.0036644.e092.jpg" mimetype="image"></inline-graphic></inline-formula> is associated with a <inline-formula><inline-graphic xlink:href="pone.0036644.e093.jpg" mimetype="image"></inline-graphic></inline-formula> of the Hamming code (511, 502, 3), that is,<disp-formula><graphic xlink:href="pone.0036644.e094"></graphic></disp-formula>and<disp-formula><graphic xlink:href="pone.0036644.e095"></graphic></disp-formula>Furthermore, this identification was made using the <inline-formula><inline-graphic xlink:href="pone.0036644.e096.jpg" mimetype="image"></inline-graphic></inline-formula> labeling.</p><p>A statistical analysis related to the <italic>TRAV7 gene sequence</italic> chromosome 14 of the human genome is as follows: with each primitive polynomial there is a corresponding generator polynomial of a code. For the given DNA sequence we use the 24 labeling and the resulting 24 sequences are multiplied by the generator matrix. From this operation results 24 codewords. Each one of these codewords is multiplied by the parity-check matrix. If the result is zero then the given DNA sequence is a codeword. Otherwise, we have to verify what happens if in each position we have different nucleotides. To do that, we have to realize three substitutions in each position of the original DNA sequence and verify again if this modified sequence is or is not a codeword. Since the <italic>TRAV7 gene</italic> genomic sequence has <inline-formula><inline-graphic xlink:href="pone.0036644.e097.jpg" mimetype="image"></inline-graphic></inline-formula>, it follows that <inline-formula><inline-graphic xlink:href="pone.0036644.e098.jpg" mimetype="image"></inline-graphic></inline-formula>. From this, the degree of the primitive polynomial is 9 and as a result we have 48 different primitive polynomials. Since for each one of them we have to use the 24 labeling, this leads to 1152 codewords to verify for a given error-correcting capability. Since in this case we have 256 possibilities, an upperbound is 294,912 codewords to be tested. Now, since there is always one nucleotide difference, we have to realize three times 63 tests for each one of the 294,912 codewords. Therefore, yielding a total of <inline-formula><inline-graphic xlink:href="pone.0036644.e099.jpg" mimetype="image"></inline-graphic></inline-formula> tests to be realized. Thus, the probability of finding a given sequence is <inline-formula><inline-graphic xlink:href="pone.0036644.e100.jpg" mimetype="image"></inline-graphic></inline-formula>, that is, approximately 1 sequence out of <inline-formula><inline-graphic xlink:href="pone.0036644.e101.jpg" mimetype="image"></inline-graphic></inline-formula>.</p><p>The <italic>Lactococcus lactis</italic> plasmid genomic sequence has 2047 nucleotides. So, the codeword length is <inline-formula><inline-graphic xlink:href="pone.0036644.e102.jpg" mimetype="image"></inline-graphic></inline-formula> and the degree of the Galois ring extension <inline-formula><inline-graphic xlink:href="pone.0036644.e103.jpg" mimetype="image"></inline-graphic></inline-formula> is 11. The number of <inline-formula><inline-graphic xlink:href="pone.0036644.e104.jpg" mimetype="image"></inline-graphic></inline-formula> is 176 <xref ref-type="bibr" rid="pone.0036644-McWilliams1">[11]</xref>, <xref ref-type="bibr" rid="pone.0036644-Peterson1">[12]</xref>. Again, among these, only one <inline-formula><inline-graphic xlink:href="pone.0036644.e105.jpg" mimetype="image"></inline-graphic></inline-formula> is associated with a <inline-formula><inline-graphic xlink:href="pone.0036644.e106.jpg" mimetype="image"></inline-graphic></inline-formula> of the Hamming code <inline-formula><inline-graphic xlink:href="pone.0036644.e107.jpg" mimetype="image"></inline-graphic></inline-formula>, that is,<disp-formula><graphic xlink:href="pone.0036644.e108"></graphic></disp-formula>and<disp-formula><graphic xlink:href="pone.0036644.e109"></graphic></disp-formula>and this identification was made using the <inline-formula><inline-graphic xlink:href="pone.0036644.e110.jpg" mimetype="image"></inline-graphic></inline-formula> labeling, as shown in <xref ref-type="table" rid="pone-0036644-t002">Table 2</xref>.</p><p>A statistical analysis related to the <italic>Lactococcus lactis</italic> plasmid genomic sequence is as follows: with each primitive polynomial there is a corresponding generator polynomial of a code. For the given DNA sequence we use the 24 labeling and the resulting 24 sequences are multiplied by the generator matrix. From this operation results 24 codewords. Each one of these codewords is multiplied by the parity-check matrix. If the result is zero then the given DNA sequence is a codeword. Otherwise, we have to verify what happens if in each position we have different nucleotides. To do that, we have to realize three substitutions in each position of the original DNA sequence and verify again if this modified sequence is or is not a codeword. Since the <italic>Lactococcus lactis</italic> plasmid genomic sequence has <inline-formula><inline-graphic xlink:href="pone.0036644.e111.jpg" mimetype="image"></inline-graphic></inline-formula>, it follows that <inline-formula><inline-graphic xlink:href="pone.0036644.e112.jpg" mimetype="image"></inline-graphic></inline-formula>. From this, the degree of the primitive polynomial is 11 and as a result we have 176 different primitive polynomials. Since for each one of them we have to use the 24 labeling, this leads to 4224 codewords to verify for a given error-correcting capability. Since in this case we have 1018 possibilities, an upperbound is 4,300,032 codewords to be tested. Now, since there is always one nucleotide difference, we have to realize three times 63 tests for each one of the 4,300,032 codewords. Therefore, yielding a total of <inline-formula><inline-graphic xlink:href="pone.0036644.e113.jpg" mimetype="image"></inline-graphic></inline-formula> tests to be realized. Thus, the probability of finding a given sequence is <inline-formula><inline-graphic xlink:href="pone.0036644.e114.jpg" mimetype="image"></inline-graphic></inline-formula>, that is, approximately 1 sequence out of <inline-formula><inline-graphic xlink:href="pone.0036644.e115.jpg" mimetype="image"></inline-graphic></inline-formula>.</p><p>Note that <inline-formula><inline-graphic xlink:href="pone.0036644.e116.jpg" mimetype="image"></inline-graphic></inline-formula> is also a primitive polynomial, since by reducing modulo 2 its coefficients leads to <inline-formula><inline-graphic xlink:href="pone.0036644.e117.jpg" mimetype="image"></inline-graphic></inline-formula>. Therefore, both polynomials are associated with the same algebraic and geometric properties. Contrary to our expectations, there is just one <inline-formula><inline-graphic xlink:href="pone.0036644.e118.jpg" mimetype="image"></inline-graphic></inline-formula>, its corresponding <inline-formula><inline-graphic xlink:href="pone.0036644.e119.jpg" mimetype="image"></inline-graphic></inline-formula>, and a labeling capable of identifying each sequence under consideration. This suggests the existence of an intrinsic geometric property that may be associated with each DNA sequence.</p><p>What has been observed is that, in all the DNA sequences previously identified, there is always a difference of a single nucleotide between the <italic>NCBI</italic> sequence and the codeword generated by a Hamming code. Although the code (owing to its error correction capability) allows a difference in any position in the sequence, this difference occurs at one specific position. In the biological context, this mismatch is known as a single nucleotide polymorphism (SNP).</p><p>We can observe that the SNP occurred at position 122 in the TRAV7 predicted gene, changing <inline-formula><inline-graphic xlink:href="pone.0036644.e120.jpg" mimetype="image"></inline-graphic></inline-formula>, and so originating a transition mutation (change of one purine/purine or pyrimidine/pyrimidine) - <xref ref-type="table" rid="pone-0036644-t001">Table 1</xref>. In contrast, in the <italic>Lactococcus lactis</italic> plasmid genomic sequence, the SNP occurred at position 1547, changing <inline-formula><inline-graphic xlink:href="pone.0036644.e121.jpg" mimetype="image"></inline-graphic></inline-formula>, and so originating a transversion mutation (change of a purine for a pyrimidine, or vice-versa) - <xref ref-type="table" rid="pone-0036644-t002">Table 2</xref>. Note that in the TRAV7 predicted gene the SNP occurred in the intronic region, whereas in the <italic>Lactococcus lactis</italic> plasmid genomic sequence the SNP occurred in the <inline-formula><inline-graphic xlink:href="pone.0036644.e122.jpg" mimetype="image"></inline-graphic></inline-formula> region, where the repB gene is located - <xref ref-type="fig" rid="pone-0036644-g002">Figure 2</xref>. One possible interpretation is that either the codeword generated by a Hamming code is an ancestor of the corresponding <italic>NCBI</italic> sequence, or it is an SNP with respect to the corresponding <italic>NCBI</italic> sequence, or the other way around. However, since this mismatch is within the error correction capability of the code, it follows that the modified Berlekamp-Massey decoding algorithm <xref ref-type="bibr" rid="pone.0036644-Interlando1">[15]</xref> is capable of detecting and correcting such a mismatch.</p><fig id="pone-0036644-g002" position="float"><object-id pub-id-type="doi">10.1371/journal.pone.0036644.g002</object-id><label>Figure 2</label><caption><title>Plasmidial DNA and TRAV7 gene generation by Hamming codes.</title></caption><graphic xlink:href="pone.0036644.g002"></graphic></fig><sec id="s3a"><title>Conclusion</title><p>In this paper, we have shown that not only are some protein coding sequences identified with the codewords of Hamming codes, but a gene, and even a whole genome, is identified with codewords as well. Although this is not a definitive answer to the question of whether or not there is an error-correcting code underlying actual DNA sequences, it is an encouraging result.</p><p>The majority of the DNA sequences were reproduced by the Hamming codes over rings. One possible explanation is provided by the arithmetic and computational flexibilities of this algebraic structure. As a consequence, sequences reproduced by the Hamming codes over fields exhibit less adaptability than those offered by the Hamming codes over rings. This observation suggests that it is possible to classify the proteins according to their stability in the mutation index.</p><p>As usually occurs when a new result appears, many new questions emerge. Do they, in fact, reveal the existence of a mathematical structure underlying DNA sequences? Why does the code point to a specific position for each reproduced sequence? Biologically, how important is the SNP in the position pointed out by the code?</p></sec></sec></body><back><ack><p>The authors would like to thank the anonymous referees for the comments and suggestions which improved the presentation of the paper and also Peter Seelig for the advices and technical discussions.</p></ack><fn-group><fn fn-type="conflict"><p><bold>Competing Interests: </bold>The authors have declared that no competing interests exist.</p></fn><fn fn-type="financial-disclosure"><p><bold>Funding: </bold>The authors thank the Brazilian agencies FAPESP, CNPq and CAPES for the financial support during the period of this research. 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