InforLorV4, Main, Exploration, bibRecord, 000178

Better polynomials for GNFS

Identifieur interne : 000178 ( Main/Exploration ); précédent : 000177; suivant : 000179

Better polynomials for GNFS

Auteurs : Shi Bai [Nouvelle-Zélande] ; Cyril Bouvier [France] ; Alexander Kruppa [France] ; Paul Zimmermann [France]

Source :

RBID : Hal:hal-01089507

Abstract

The general number field sieve (GNFS) is the most efficient algo-rithm known for factoring large integers. It consists of several stages, the first one being polynomial selection. The quality of the selected polynomials can be modelled in terms of size and root properties. We propose a new kind of polynomials for GNFS: with a new degree of freedom, we further improve the size property. We demonstrate the efficiency of our algorithm by exhibiting a better polynomial than the one used for the factorization of RSA-768, and a polynomial for RSA-1024 that outperforms the best published one.

Url:

https://hal.inria.fr/hal-01089507

Affiliations:

Links toward previous steps (curation, corpus...)

to stream Hal, to step Corpus: 001236
to stream Hal, to step Curation: 001236
to stream Hal, to step Checkpoint: 000149
to stream Main, to step Merge: 000178
to stream Main, to step Curation: 000178

Le document en format XML

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<front><div type="abstract" xml:lang="en">The general number field sieve (GNFS) is the most efficient algo-rithm known for factoring large integers. It consists of several stages, the first one being polynomial selection. The quality of the selected polynomials can be modelled in terms of size and root properties. We propose a new kind of polynomials for GNFS: with a new degree of freedom, we further improve the size property. We demonstrate the efficiency of our algorithm by exhibiting a better polynomial than the one used for the factorization of RSA-768, and a polynomial for RSA-1024 that outperforms the best published one.</div>
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Better polynomials for GNFS

Better polynomials for GNFS

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