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669 results

    • Seminar

    • Cryptography

    On the design and implementation of scalar multiplication algorithms

    • November 16, 2018

    • IRMAR - Université de Rennes - Campus Beaulieu Bat. 22, RDC, Rennes - Amphi Lebesgue

    Speaker : 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[…]
    • Seminar

    • Cryptography

    Approx-SVP in Ideal Lattices with Pre-processing

    • May 24, 2019

    • IRMAR - Université de Rennes - Campus Beaulieu Bat. 22, RDC, Rennes - Amphi Lebesgue

    Speaker : 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-[…]
    • Seminar

    • Cryptography

    Some new results on cube attacks against Trivium

    • December 14, 2018

    • IRMAR - Université de Rennes - Campus Beaulieu Bat. 22, RDC, Rennes - Amphi Lebesgue

    Speaker : 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[…]
    • Seminar

    • Cryptography

    Cryptanalyse algébrique de DAGS

    • September 27, 2019

    • IRMAR - Université de Rennes - Campus Beaulieu Bat. 22, RDC, Rennes - Amphi Lebesgue

    Speaker : Magali Bardet - université de Rouen

    Elise Barelli et Alain Couvreur ont présenté une attaque dévastatrice sur le cryptosystème DAGS soumis au 1er tour de la compétition du NIST autour d'algorithmes de cryptographie post-quantiques. Je présenterai une explication précise de la résolution par bases de Gröbner de leur modélisation algébrique, expliquant l'efficacité de l'attaque pour les paramètres de DAGS publiés au NIST.<br/> lien:[…]
    • Seminar

    • Cryptography

    Calcul de r-isogénies à l'aide de la \ell-torsion.

    • January 27, 2017

    • IRMAR - Université de Rennes - Campus Beaulieu Bat. 22, RDC, Rennes - Amphi Lebesgue

    Speaker : Cyril Hugounenq - Université de Versailles

    Après des rappels sur les courbes elliptiques et les isogénies, on va présenter le problème que l'on veut résoudre: soit deux courbes elliptiques E,E' définies sur un corps fini (de caractéristique p) que l'on sait r-isogénes alors on souhaite calculer la r-isogénie qui les relie. De nombreux algorithmes ont résolu ce problème par le passé notamment l'algorithme de Couveignes de 1996 qui sera[…]
    • Seminar

    • Cryptography

    Middle-Product Learning With Errors

    • October 13, 2017

    • IRMAR - Université de Rennes - Campus Beaulieu Bat. 22, RDC, Rennes - Amphi Lebesgue

    Speaker : Miruna Rosca - ENS de Lyon

    We introduce a new variant MP-LWE of the Learning With Errors problem (LWE) making use of the Middle Product between polynomials modulo an integer q. We exhibit a reduction from the Polynomial-LWE problem (PLWE) parametrized by a polynomial f, to MP-LWE which is defined independently of any such f. The reduction only requires f to be monic with constant coefficient coprime with q. It incurs a noise[…]