A primitive trinomial of degree 6972593
Identifieur interne : 006381 ( Main/Exploration ); précédent : 006380; suivant : 006382A primitive trinomial of degree 6972593
Auteurs : Richard P. Brent [Royaume-Uni] ; Samuli Larvala [Finlande] ; Paul Zimmermann [France]Source :
- Mathematics of computation [ 0025-5718 ] ; 2005.
Descripteurs français
- Pascal (Inist)
- Wicri :
- topic : Calcul scientifique.
English descriptors
Abstract
The only primitive trinomials of degree 6972593 over GF(2) are x6972593 + x3037958 + 1 and its reciprocal.
Url:
Affiliations:
Links toward previous steps (curation, corpus...)
- to stream PascalFrancis, to step Corpus: 000585
- to stream PascalFrancis, to step Curation: 000453
- to stream PascalFrancis, to step Checkpoint: 000528
- to stream Main, to step Merge: 006665
- to stream Hal, to step Corpus: 000398
- to stream Hal, to step Curation: 000398
- to stream Hal, to step Checkpoint: 004A03
- to stream Main, to step Merge: 006892
- to stream Main, to step Curation: 006381
Le document en format XML
<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en" level="a">A primitive trinomial of degree 6972593</title>
<author><name sortKey="Brent, Richard P" sort="Brent, Richard P" uniqKey="Brent R" first="Richard P." last="Brent">Richard P. Brent</name>
<affiliation wicri:level="1"><inist:fA14 i1="01"><s1>Oxford University Computing Laboratory</s1>
<s2>Oxford OX1 3QD</s2>
<s3>GBR</s3>
<sZ>1 aut.</sZ>
</inist:fA14>
<country>Royaume-Uni</country>
<wicri:noRegion>Oxford University Computing Laboratory</wicri:noRegion>
</affiliation>
</author>
<author><name sortKey="Larvala, Samuli" sort="Larvala, Samuli" uniqKey="Larvala S" first="Samuli" last="Larvala">Samuli Larvala</name>
<affiliation wicri:level="1"><inist:fA14 i1="02"><s1>Helsinki University of Technology</s1>
<s2>Espoo</s2>
<s3>FIN</s3>
<sZ>2 aut.</sZ>
</inist:fA14>
<country>Finlande</country>
<wicri:noRegion>Helsinki University of Technology</wicri:noRegion>
</affiliation>
</author>
<author><name sortKey="Zimmermann, Paul" sort="Zimmermann, Paul" uniqKey="Zimmermann P" first="Paul" last="Zimmermann">Paul Zimmermann</name>
<affiliation wicri:level="3"><inist:fA14 i1="03"><s1>LORIA/INRIA Lorraine, 615 Rue du Jardin Botanique, BP 101</s1>
<s2>54602 Villers-lès-Nancy</s2>
<s3>FRA</s3>
<sZ>3 aut.</sZ>
</inist:fA14>
<country>France</country>
<placeName><region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
<settlement type="city">Villers-lès-Nancy</settlement>
</placeName>
</affiliation>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">INIST</idno>
<idno type="inist">05-0156203</idno>
<date when="2005">2005</date>
<idno type="stanalyst">PASCAL 05-0156203 INIST</idno>
<idno type="RBID">Pascal:05-0156203</idno>
<idno type="wicri:Area/PascalFrancis/Corpus">000585</idno>
<idno type="wicri:Area/PascalFrancis/Curation">000453</idno>
<idno type="wicri:Area/PascalFrancis/Checkpoint">000528</idno>
<idno type="wicri:explorRef" wicri:stream="PascalFrancis" wicri:step="Checkpoint">000528</idno>
<idno type="wicri:doubleKey">0025-5718:2005:Brent R:a:primitive:trinomial</idno>
<idno type="wicri:Area/Main/Merge">006665</idno>
<idno type="wicri:source">HAL</idno>
<idno type="RBID">Hal:hal-00917727</idno>
<idno type="url">https://hal.inria.fr/hal-00917727</idno>
<idno type="wicri:Area/Hal/Corpus">000398</idno>
<idno type="wicri:Area/Hal/Curation">000398</idno>
<idno type="wicri:Area/Hal/Checkpoint">004A03</idno>
<idno type="wicri:explorRef" wicri:stream="Hal" wicri:step="Checkpoint">004A03</idno>
<idno type="wicri:doubleKey">0025-5718:2005:Brent R:a:primitive:trinomial</idno>
<idno type="wicri:Area/Main/Merge">006892</idno>
<idno type="wicri:Area/Main/Curation">006381</idno>
<idno type="wicri:Area/Main/Exploration">006381</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title xml:lang="en" level="a">A primitive trinomial of degree 6972593</title>
<author><name sortKey="Brent, Richard P" sort="Brent, Richard P" uniqKey="Brent R" first="Richard P." last="Brent">Richard P. Brent</name>
<affiliation wicri:level="1"><inist:fA14 i1="01"><s1>Oxford University Computing Laboratory</s1>
<s2>Oxford OX1 3QD</s2>
<s3>GBR</s3>
<sZ>1 aut.</sZ>
</inist:fA14>
<country>Royaume-Uni</country>
<wicri:noRegion>Oxford University Computing Laboratory</wicri:noRegion>
</affiliation>
</author>
<author><name sortKey="Larvala, Samuli" sort="Larvala, Samuli" uniqKey="Larvala S" first="Samuli" last="Larvala">Samuli Larvala</name>
<affiliation wicri:level="1"><inist:fA14 i1="02"><s1>Helsinki University of Technology</s1>
<s2>Espoo</s2>
<s3>FIN</s3>
<sZ>2 aut.</sZ>
</inist:fA14>
<country>Finlande</country>
<wicri:noRegion>Helsinki University of Technology</wicri:noRegion>
</affiliation>
</author>
<author><name sortKey="Zimmermann, Paul" sort="Zimmermann, Paul" uniqKey="Zimmermann P" first="Paul" last="Zimmermann">Paul Zimmermann</name>
<affiliation wicri:level="3"><inist:fA14 i1="03"><s1>LORIA/INRIA Lorraine, 615 Rue du Jardin Botanique, BP 101</s1>
<s2>54602 Villers-lès-Nancy</s2>
<s3>FRA</s3>
<sZ>3 aut.</sZ>
</inist:fA14>
<country>France</country>
<placeName><region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
<settlement type="city">Villers-lès-Nancy</settlement>
</placeName>
</affiliation>
</author>
</analytic>
<series><title level="j" type="main">Mathematics of computation</title>
<title level="j" type="abbreviated">Math. comput.</title>
<idno type="ISSN">0025-5718</idno>
<imprint><date when="2005">2005</date>
</imprint>
</series>
</biblStruct>
</sourceDesc>
<seriesStmt><title level="j" type="main">Mathematics of computation</title>
<title level="j" type="abbreviated">Math. comput.</title>
<idno type="ISSN">0025-5718</idno>
</seriesStmt>
</fileDesc>
<profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Primitive trinomial</term>
<term>Scientific computation</term>
</keywords>
<keywords scheme="Pascal" xml:lang="fr"><term>Calcul scientifique</term>
<term>Trinôme primitif</term>
</keywords>
<keywords scheme="Wicri" type="topic" xml:lang="fr"><term>Calcul scientifique</term>
</keywords>
</textClass>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">The only primitive trinomials of degree 6972593 over GF(2) are x<sup>6972593</sup>
+ x<sup>3037958</sup>
+ 1 and its reciprocal.</div>
</front>
</TEI>
<affiliations><list><country><li>Finlande</li>
<li>France</li>
<li>Royaume-Uni</li>
</country>
<region><li>Grand Est</li>
<li>Lorraine (région)</li>
</region>
<settlement><li>Villers-lès-Nancy</li>
</settlement>
</list>
<tree><country name="Royaume-Uni"><noRegion><name sortKey="Brent, Richard P" sort="Brent, Richard P" uniqKey="Brent R" first="Richard P." last="Brent">Richard P. Brent</name>
</noRegion>
</country>
<country name="Finlande"><noRegion><name sortKey="Larvala, Samuli" sort="Larvala, Samuli" uniqKey="Larvala S" first="Samuli" last="Larvala">Samuli Larvala</name>
</noRegion>
</country>
<country name="France"><region name="Grand Est"><name sortKey="Zimmermann, Paul" sort="Zimmermann, Paul" uniqKey="Zimmermann P" first="Paul" last="Zimmermann">Paul Zimmermann</name>
</region>
</country>
</tree>
</affiliations>
</record>
Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Lorraine/explor/InforLorV4/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 006381 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 006381 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien |wiki= Wicri/Lorraine |area= InforLorV4 |flux= Main |étape= Exploration |type= RBID |clé= Pascal:05-0156203 |texte= A primitive trinomial of degree 6972593 }}
This area was generated with Dilib version V0.6.33. |