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633 results
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Seminar
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Cryptography
Finding ECM-Friendly Curves through a Study of Galois Properties
Speaker : Cyril Bouvier - Institut de mathématiques de Bordeaux
In this talk, I'll prove some divisibility properties of the cardinality of elliptic curve groups modulo primes. These proofs explain the good behavior of certain parameters when using Montgomery or Edwards curves in the setting of the elliptic curve method (ECM) for integer factorization. The ideas behind the proofs can be used to find new infinite families of elliptic curves with good division[…] -
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Seminar
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Cryptography
Construction d'une petite boite S 8-bit avec branchement 3 (&applications)
Speaker : Pierre Karpman - Rennes 1 et Singapour
Je présenterai la construction et l'implémentation d'une boîte S sur 8 bits qui a un branchement linéaire et différentiel de 3. Je montrerai une application en construisant un chiffre par bloc sur 64 bits dont la structure est très simple et basée sur l'évaluation en tranches (bitsliced) et des rotations sur mots de 8 bits. La fonction de tour de ce chiffre peut s'implémenter avec le même nombre d[…] -
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Seminar
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Cryptography
Computing individual discrete logarithms in non-prime finite fields
Speaker : Aurore Guillevic - Inria Saclay, équipe Grace et Ecole Polytechnique, LIX
This talk is about computing discrete logarithms in non-prime finite fields. These fields arise in pairing-based cryptography. In this setting, the pairing-friendly curve is defined over GF(q) and the pairing takes its values in an extension GF(q^k), where k is the embedding degree.<br/> Fr example, GF(p^2) is the embedding field of supersingular elliptic curves in large characteristic; GF(p^3),[…] -
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Seminar
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Cryptography
Speeding up Fully Homomorphic Encryption
Speaker : Marie Paindavoine - Orange Labs
Access to encrypted data is often “all-or-nothing” : either one has to decrypt everything, or one cannot read anything. Following Gentry’s work in 2009, fully homomorphic encryption has gained more and more attention, in particular because it allows more flexibility on encrypted data access and process. It is now possible to evaluate functions on encrypted data and get only the result – encrypted[…] -