Factorisation of RSA-220 with CADO-NFS
Identifieur interne : 000021 ( Main/Exploration ); précédent : 000020; suivant : 000022Factorisation of RSA-220 with CADO-NFS
Auteurs : Shi Bai [France] ; Pierrick Gaudry [France] ; Alexander Kruppa [France] ; Emmanuel Thomé [France] ; Paul Zimmermann [France]Source :
Abstract
We give details of the factorization of RSA-220 with CADO-NFS. This is a new record computation with this open-source software. We report on the factorization of RSA-220 (220 decimal digits), which is the 3rd largest integer factorization with the General Number Field Sieve (GNFS), after the factorization of RSA-768 (232 digits) in December 2009 [3], and that of 3 697 + 1 (221 digits) in February 2015 by NFS@home.
Url:
Affiliations:
- France
- Auvergne-Rhône-Alpes, Grand Est, Lorraine (région), Rhône-Alpes
- Lyon, Metz, Nancy
- Université Claude Bernard Lyon 1, Université de Lorraine, Université de Lyon
Links toward previous steps (curation, corpus...)
- to stream Hal, to step Corpus: 002217
- to stream Hal, to step Curation: 002217
- to stream Hal, to step Checkpoint: 000021
- to stream Main, to step Merge: 000021
- to stream Main, to step Curation: 000021
Le document en format XML
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CS 25233 - 54052 Nancy cedex</addrLine><country key="FR"></country></address><ref type="url">http://www.univ-lorraine.fr/</ref></desc></org></tutelle><tutelle name="UMR7503" active="#struct-441569" type="indirect"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="ISNI">0000000122597504</idno><idno type="IdRef">02636817X</idno><orgName>Centre National de la Recherche Scientifique</orgName><orgName type="acronym">CNRS</orgName><date type="start">1939-10-19</date><desc><address><country key="FR"></country></address><ref type="url">http://www.cnrs.fr/</ref></desc></org></tutelle></tutelles></hal:affiliation><country>France</country><placeName><settlement type="city">Nancy</settlement><settlement type="city">Metz</settlement><region type="region" nuts="2">Grand Est</region><region type="old region" nuts="2">Lorraine (région)</region></placeName><orgName type="university">Université de Lorraine</orgName></affiliation></author><author><name sortKey="Zimmermann, Paul" sort="Zimmermann, Paul" uniqKey="Zimmermann P" first="Paul" last="Zimmermann">Paul Zimmermann</name><affiliation wicri:level="1"><hal:affiliation type="researchteam" xml:id="struct-450090" status="VALID"><idno type="RNSR">201622054G</idno><orgName>Cryptology, arithmetic : algebraic methods for better algorithms</orgName><orgName type="acronym">CARAMBA</orgName><date type="start">2016-01-01</date><desc><address><addrLine>615 rue du Jardin Botanique54600 Villers-lès-Nancy</addrLine><country key="FR"></country></address><ref type="url">http://www.inria.fr/equipes/caramba</ref></desc><listRelation><relation active="#struct-129671" type="direct"></relation><relation active="#struct-300009" type="indirect"></relation><relation active="#struct-423083" type="direct"></relation><relation active="#struct-206040" type="indirect"></relation><relation active="#struct-413289" type="indirect"></relation><relation name="UMR7503" active="#struct-441569" type="indirect"></relation></listRelation><tutelles><tutelle active="#struct-129671" type="direct"><org type="laboratory" xml:id="struct-129671" status="VALID"><idno type="RNSR">198618246Y</idno><orgName>INRIA Nancy - Grand Est</orgName><desc><address><addrLine>615 rue du Jardin Botanique 54600 Villers-lès-Nancy</addrLine><country key="FR"></country></address><ref type="url">http://www.inria.fr/nancy</ref></desc><listRelation><relation active="#struct-300009" type="direct"></relation></listRelation></org></tutelle><tutelle active="#struct-300009" type="indirect"><org type="institution" xml:id="struct-300009" status="VALID"><orgName>Institut National de Recherche en Informatique et en Automatique</orgName><orgName type="acronym">Inria</orgName><desc><address><addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine><country key="FR"></country></address><ref type="url">http://www.inria.fr/en/</ref></desc></org></tutelle><tutelle active="#struct-423083" type="direct"><org type="department" xml:id="struct-423083" status="VALID"><orgName>Department of Algorithms, Computation, Image and Geometry</orgName><orgName type="acronym">LORIA - ALGO</orgName><desc><address><country key="FR"></country></address><ref type="url">http://www.loria.fr/la-recherche-en/departements/algorithmics</ref></desc><listRelation><relation active="#struct-206040" type="direct"></relation><relation active="#struct-300009" type="indirect"></relation><relation active="#struct-413289" type="indirect"></relation><relation name="UMR7503" active="#struct-441569" type="indirect"></relation></listRelation></org></tutelle><tutelle active="#struct-206040" type="indirect"><org type="laboratory" xml:id="struct-206040" status="VALID"><idno type="IdRef">067077927</idno><idno type="RNSR">198912571S</idno><idno type="IdUnivLorraine">[UL]RSI--</idno><orgName>Laboratoire Lorrain de Recherche en Informatique et ses Applications</orgName><orgName type="acronym">LORIA</orgName><date type="start">2012-01-01</date><desc><address><addrLine>Campus Scientifique BP 239 54506 Vandoeuvre-lès-Nancy Cedex</addrLine><country key="FR"></country></address><ref type="url">http://www.loria.fr</ref></desc><listRelation><relation active="#struct-300009" type="direct"></relation><relation active="#struct-413289" type="direct"></relation><relation name="UMR7503" active="#struct-441569" type="direct"></relation></listRelation></org></tutelle><tutelle active="#struct-413289" type="indirect"><org type="institution" xml:id="struct-413289" status="VALID"><idno type="IdRef">157040569</idno><idno type="IdUnivLorraine">[UL]100--</idno><orgName>Université de Lorraine</orgName><orgName type="acronym">UL</orgName><date type="start">2012-01-01</date><desc><address><addrLine>34 cours Léopold - CS 25233 - 54052 Nancy cedex</addrLine><country key="FR"></country></address><ref type="url">http://www.univ-lorraine.fr/</ref></desc></org></tutelle><tutelle name="UMR7503" active="#struct-441569" type="indirect"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="ISNI">0000000122597504</idno><idno type="IdRef">02636817X</idno><orgName>Centre National de la Recherche Scientifique</orgName><orgName type="acronym">CNRS</orgName><date type="start">1939-10-19</date><desc><address><country key="FR"></country></address><ref type="url">http://www.cnrs.fr/</ref></desc></org></tutelle></tutelles></hal:affiliation><country>France</country><placeName><settlement type="city">Nancy</settlement><settlement type="city">Metz</settlement><region type="region" nuts="2">Grand Est</region><region type="old region" nuts="2">Lorraine (région)</region></placeName><orgName type="university">Université de Lorraine</orgName></affiliation></author></analytic></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">We give details of the factorization of RSA-220 with CADO-NFS. This is a new record computation with this open-source software. We report on the factorization of RSA-220 (220 decimal digits), which is the 3rd largest integer factorization with the General Number Field Sieve (GNFS), after the factorization of RSA-768 (232 digits) in December 2009 [3], and that of 3 697 + 1 (221 digits) in February 2015 by NFS@home.</div></front></TEI><affiliations><list><country><li>France</li></country><region><li>Auvergne-Rhône-Alpes</li><li>Grand Est</li><li>Lorraine (région)</li><li>Rhône-Alpes</li></region><settlement><li>Lyon</li><li>Metz</li><li>Nancy</li></settlement><orgName><li>Université Claude Bernard Lyon 1</li><li>Université de Lorraine</li><li>Université de Lyon</li></orgName></list><tree><country name="France"><region name="Auvergne-Rhône-Alpes"><name sortKey="Bai, Shi" sort="Bai, Shi" uniqKey="Bai S" first="Shi" last="Bai">Shi Bai</name></region><name sortKey="Gaudry, Pierrick" sort="Gaudry, Pierrick" uniqKey="Gaudry P" first="Pierrick" last="Gaudry">Pierrick Gaudry</name><name sortKey="Kruppa, Alexander" sort="Kruppa, Alexander" uniqKey="Kruppa A" first="Alexander" last="Kruppa">Alexander Kruppa</name><name sortKey="Thome, Emmanuel" sort="Thome, Emmanuel" uniqKey="Thome E" first="Emmanuel" last="Thomé">Emmanuel Thomé</name><name sortKey="Zimmermann, Paul" sort="Zimmermann, Paul" uniqKey="Zimmermann P" first="Paul" last="Zimmermann">Paul Zimmermann</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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