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762 results

    • Seminar

    • Cryptography

    Multiplication by n on elliptic curves over rings

    • October 26, 2012

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

    Speaker : Jinbi Jin - Leiden university

    Division polynomials express multiples of *affine* points on Weierstrass elliptic curves over fields. The restriction to affine points becomes an issue with elliptic curves over arbitrary rings, where it may happen that there are multiple 'points at infinity'. We will explain how a modification of the classical division polynomials describes multiplication on all points of Weierstrass elliptic[…]

    • Seminar

    • Cryptography

    Keccak

    • June 04, 2013

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

    Speaker : Joan Daemen - ST Micro

    In October 2012, the American National Institute of Standards and Technology (NIST) announced the selection of Keccak as the winner of the SHA-3 Cryptographic Hash Algorithm Competition. This concluded an open competition that was remarkable both for its magnitude and the involvement of the cryptographic community. Public review is of paramount importance to increase the confidence in the new[…]

    • Seminar

    • Cryptography

    Verification of Security Protocols with Lists:

    • January 11, 2013

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

    Speaker : Miriam Paiola - ENS

    We present a novel, simple technique for proving secrecy properties for security protocols that manipulate lists of unbounded length, for an unbounded number of sessions.<br/> More specifically, our technique relies on the Horn clause approach used in the automatic verifier ProVerif: we show that if a protocol is proven secure by our technique with lists of length one, then it is secure for lists[…]

    • Seminar

    • Cryptography

    Calculs de cup-produits et comptage de points.

    • October 11, 2013

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

    Speaker : François-Renaud Escriva - Vrije Universiteit Amsterdam

    Dans cet exposé, nous présentons un algorithme de comptage de points qui repose sur le calcul de certains cup-produits. Notre algorithme se fonde, comme l'algorithme de Kedlaya, sur le calcul de la matrice de l'action d'un Frobenius semi-linéaire sur le premier groupe de cohomologie d'une courbe. Cependant, notre algorithme a l'avantage de pouvoir s'appliquer à une classe très générale de courbes[…]

    • Seminar

    • Cryptography

    Isogeny computation in small characteristic

    • April 30, 2010

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

    Speaker : Lucas De Feo - LIX

    Isogenies are an important tool in the study of elliptic curves. As such their applications in Elliptic Curve Cryptography are numerous, ranging from point counting to new cryptographic schemes.<br/> The problem of finding explicit formulae expressing an isogeny between two elliptic curves has been studied by many. Vélu gave formulae for the case where the curves are defined over C; these formulae[…]

    • Seminar

    • Cryptography

    Hachage vers les courbes elliptiques et hyperelliptiques

    • October 29, 2010

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

    Speaker : Méhdi Tibouchi - ENS

    Dans de nombreux protocoles cryptographiques, notamment à base de couplages, il est nécessaire de disposer de fonctions de hachage à valeur dans le groupe des points d'une courbe elliptique (ou plus généralement dans la jacobienne d'une courbe hyperelliptique). Nous expliquerons comment il est possible de construire de telles fonctions à partir de fonctions de hachage plus classiques (à valeur[…]
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