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Séminaire
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Cryptographie
Short McEliece key from algebraic geometry codes with automorphism
Orateur : elise barelli - INRIA Saclay
In 1978, McEliece introduced a public key encryption scheme based on linear codes and suggested to use classical Goppa codes, ie: subfield subcodes of algebraic geometric (AG) codes built on a curve of genus 0. This proposition remains secure and in order to have a generalization of classical Goppa codes, in 1996, H. Janwa and O. Moreno suggested to use subfield subcode of AG codes, which we call[…] -
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Séminaire
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Cryptographie
Complete Addition Formulas for Prime Order Elliptic Curves
Orateur : Joost Renes - University of Nijmegen
An elliptic curve addition law is said to be complete if it correctly computes the sum of any two points in the elliptic curve group. One of the main reasons for the increased popularity of Edwards curves in the ECC community is that they can allow a complete group law that is also relatively efficient (e.g., when compared to all known addition laws on Edwards curves). Such complete addition[…] -
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Séminaire
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Cryptographie
Locally recoverable codes from curves
Orateur : Everett Howe - Center for Communications Research, San Diego
A locally recoverable code, or LRC, is a code over a finite alphabet such that the value of any single coordinate of a codeword can be recovered from the values of a small subset of other coordinates. I will explain why LRCs are important for applications such as cloud data storage, and I will present several constructions of locally recoverable codes from Galois covers of curves over finite[…] -
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Séminaire
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Cryptographie
Attaques sur des conversions IND-CCA de systèmes basés sur les codes
Orateur : Paul Stankovski - Université de Lund
Algorithms for secure encryption in a post-quantum world are currently receiving a lot of attention in the research community, including several larger projects and a standardization effort from {NIST}. One of the most promising algorithms is the code-based scheme called QC-MDPC, which has excellent performance and a small public key size.<br/> In this work we present a very efficient key recovery[…] -
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Séminaire
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Cryptographie
Class Group Computations in Number Fields and Applications to Cryptology
Orateur : Alexandre Gelin - Versailles-Saint-Quentin-en-Yvelines
In this talk, we focus on class group computations in number fields. We start by describing an algorithm for reducing the size of a defining polynomial of a number field. There exist infinitely many polynomials that define a specific number field, with arbitrarily large coefficients, but our algorithm constructs the one that has the absolutely smallest coefficients. The advantage of knowing such a[…] -
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Séminaire
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Cryptographie
Falcon un schéma de signature sur les réseaux euclidiens NTRU
Orateur : Thomas Ricosset - Thales Communications & Security, INP-ENSEEIHT
Dans cette présentation je décrirai le schéma de signature Falcon, pour "FAst Fourier Lattice-based COmpact signatures over NTRU", basé sur le schéma de signature hash-and-sign de Gentry, Peikert et Vaikuntanathan. Je présenterai les outils et techniques permettant à Falcon d'offrir aujourd'hui, à faibles coûts, les signatures les plus compactes sur les réseaux euclidiens : une version randomisée[…] -