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710 results
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Seminar
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Cryptography
Bad reduction of genus 3 curves with complex multiplication
Speaker : Garcia Lorenzo - Université de Catalogne
Let C be a smooth, absolutely irreducible genus 3 curve over a number field M. Suppose that the Jacobian of C has complex multiplication by a sextic CM-field K. Suppose further that K contains no imaginary quadratic subfield. We give a bound on the primes P of M such that the stable reduction of C at P contains three irreducible components of genus 1. -
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Seminar
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Cryptography
Is there an L(1/4) algorithm for the discrete logarithm problem in algebraic curves?
Speaker : Maike Massierer - LORIA
The function field sieve, an algorithm of subexponential complexity L(1/3) that computes discrete logarithms in finite fields, has recently been improved to an L(1/4) algorithm, and subsequently to a quasi-polynomial time algorithm. Since index calculus algorithms for computing discrete logarithms in Jacobians of algebraic curves are based on very similar concepts and results, the natural question[…] -
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Seminar
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Cryptography
Beyond the black and grey box
Speaker : Yoni De Mulder - University of Leuven
In the white-box attack context, i.e., the setting where an implementation of a cryptographic algorithm is executed on an untrusted open platform, the adversary has full access to the implementation and its execution environment. As a result, the adversary is much more powerful than in a traditional black-box environment in which the adversary has only access to the inputs and outputs of a[…] -
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Seminar
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Cryptography
SCREAM/iSCREAM: Side-Channel Resistant Authenticated Encryption with
Speaker : François-Xavier Standaert - Université Catholique de Louvain
In this talk, I will describe the family of authenticated encryption (with associated data) algorithms SCREAM and iSCREAM. They are based on Liskov et al.'s Tweakable Authenticated Encryption (TAE) mode with the new tweakable block ciphers Scream and iScream. The main desirable features of SCREAM and iSCREAM are:<br/> * A simple and regular design allowing excellent performances on a wide range of[…] -
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Seminar
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Cryptography
How to find low-weight polynomial multiples.
Speaker : Carl Löndahl - Université de Lund
We present an improved algorithm for finding low-weight multiples of polynomials over the binary field using coding heoretic methods. The associated code defined by the given olynomial has a cyclic structure, allowing an algorithm to earch for shifts of the sought minimum-weight odeword. Therefore, a code with higher dimension is onstructed, having a larger number of low-weight codewords nd[…] -
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Seminar
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Cryptography
Bornes de Weil généralisées pour le nombre de points d'une courbe projective lisse définie sur un corps fini.
Speaker : Emmanuel Hallouin - Université de Toulouse 2
Je commencerai par rappeler l'esprit de la preuve initiale de Weil pour la majoration du nombre de points d'une courbe projective lisse définie sur un corps fini. En particulier, j'insisterai sur le fait qu'elle découle de contraintes euclidiennes dans un espace euclidien bien choisi. Ensuite je montrerai comment cette borne de Weil peut être vue comme la borne d'ordre 1 d'une classe de bornes de[…] -