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633 résultats
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Séminaire
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Cryptographie
On the design and implementation of scalar multiplication algorithms
Orateur : Koray Karabina - Florida Atlantic University
Diffie-Hellman type key exchange protocols and standardized digital signature algorithms all benefit from efficient design and secure implementation of group exponentiation algorithms. This talk will focus on elliptic curve groups and scalar multiplication algorithms derived from differential addition chains. First, I will give a survey of algorithms, and then I will present some recent[…] -
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Séminaire
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Cryptographie
Approx-SVP in Ideal Lattices with Pre-processing
Orateur : Alice Pellet-Mary - ENS de Lyon
Finding a short non zero vector in an Euclidean lattice is a well-studied problem which has proven useful to construct many cryptographic primitives. The current best asymptotic algorithm to find a relatively short vector in an arbitrary lattice is the BKZ algorithm. This algorithm recovers a vector which is at most $2^{n^{\alpha}}$ times larger than the shortest non zero vector in time $2^{n^{1-[…] -
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Séminaire
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Cryptographie
Supersingular isogeny Diffie-Hellman
Orateur : Leonardo Colo - Univesité Aix-Marseille
Supersingular isogeny graphs have been used in the Charles–Goren–Lauter cryptographic hash function and the supersingular isogeny Diffie–Hellman (SIDH) protocole of De\,Feo and Jao. A recently proposed alternative to SIDH is the commutative supersingular isogeny Diffie–Hellman (CSIDH) protocole, in which the isogeny graph is first restricted to $\FF_p$-rational curves $E$ and $\FF_p$-rational[…] -
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Séminaire
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Cryptographie
Some new results on cube attacks against Trivium
Orateur : Tian Tian - Université de Zhengzhou
Trivium is a bit oriented synchronous stream cipher designed by Cannière and Preneel. It is one of the eSTREAM hardware-oriented finalists and an International Standard under ISO/IEC 29192-3:2012. Cube attacks are an important type of key recovery attack against Trivium. First, I will give a survey on cube attacks against Trivium. Second, I will present our recent results including an algebraic[…] -
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Séminaire
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Cryptographie
Cryptography based on rank metric codes
Orateur : Nicolas Aragon - Université de Limoges, exceptionnellement salle Jersey à l'ISTIC
In the past few years, the interest for rank metric based cryptography has drastically increased, especially since the beginning of the NIST Post-Quantum Cryptography standardization process : five rank metric based proposals were submitted to the first round. This talk will present the different approaches and tradeoffs for building Key Encapsulation Mechanisms and Public Key Encryption schemes[…] -
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Séminaire
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Cryptographie
Learning With Errors and Extrapolated Dihedral Cosets Problem
Orateur : Weiqiang Wen - ENS de Lyon
The hardness of the learning with errors (LWE) problem is one of the most fruitful resources of modern cryptography. In particular, it is one of the most prominent candidates for secure post-quantum cryptography. Understanding its quantum complexity is therefore an important goal. We show that under quantum polynomial time reductions, LWE is equivalent to a relaxed version of the dihedral coset[…] -