The Tower Number Field Sieve
Identifieur interne : 000212 ( Main/Exploration ); précédent : 000211; suivant : 000213The Tower Number Field Sieve
Auteurs : Razvan Barbulescu [France] ; Pierrick Gaudry [France] ; Thorsten Kleinjung [Suisse]Source :
English descriptors
Abstract
The security of pairing-based crypto-systems relies on the difficulty to compute discrete logarithms in finite fields Fpn where n is a small integer larger than 1. The state-of-art algorithm is the number field sieve (NFS) together with its many variants. When p has a special form (SNFS), as in many pairings constructions, NFS has a faster variant due to Joux and Pierrot. We present a new NFS variant for SNFS computations, which is better for some cryptographically relevant cases, according to a precise comparison of norm sizes. The new algorithm is an adaptation of Schirokauer's variant of NFS based on tower extensions, for which we give a middlebrow presentation.
Url:
Affiliations:
- France, Suisse
- Canton de Vaud, Grand Est, Lorraine (région)
- Lausanne, Metz, Nancy
- Université de Lorraine, École polytechnique fédérale de Lausanne
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Le document en format XML
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The state-of-art algorithm is the number field sieve (NFS) together with its many variants. When p has a special form (SNFS), as in many pairings constructions, NFS has a faster variant due to Joux and Pierrot. We present a new NFS variant for SNFS computations, which is better for some cryptographically relevant cases, according to a precise comparison of norm sizes. The new algorithm is an adaptation of Schirokauer's variant of NFS based on tower extensions, for which we give a middlebrow presentation.</div></front></TEI><affiliations><list><country><li>France</li><li>Suisse</li></country><region><li>Canton de Vaud</li><li>Grand Est</li><li>Lorraine (région)</li></region><settlement><li>Lausanne</li><li>Metz</li><li>Nancy</li></settlement><orgName><li>Université de Lorraine</li><li>École polytechnique fédérale de Lausanne</li></orgName></list><tree><country name="France"><noRegion><name sortKey="Barbulescu, Razvan" sort="Barbulescu, Razvan" uniqKey="Barbulescu R" first="Razvan" last="Barbulescu">Razvan Barbulescu</name></noRegion><name sortKey="Gaudry, Pierrick" sort="Gaudry, Pierrick" uniqKey="Gaudry P" first="Pierrick" last="Gaudry">Pierrick Gaudry</name></country><country name="Suisse"><region name="Canton de Vaud"><name sortKey="Kleinjung, Thorsten" sort="Kleinjung, Thorsten" uniqKey="Kleinjung T" first="Thorsten" last="Kleinjung">Thorsten Kleinjung</name></region></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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