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684 results
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Seminar
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Cryptography
Complete Addition Formulas for Prime Order Elliptic Curves
Speaker : 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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Seminar
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Cryptography
Short McEliece key from algebraic geometry codes with automorphism
Speaker : 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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Seminar
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Cryptography
Locally recoverable codes from curves
Speaker : 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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Seminar
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Cryptography
Attaques sur des conversions IND-CCA de systèmes basés sur les codes
Speaker : 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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Seminar
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Cryptography
Class Group Computations in Number Fields and Applications to Cryptology
Speaker : 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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Seminar
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Cryptography
Journée de rentrée
Speaker : Géométrie et Algèbre Effectives - IRMAR
Divers exposés. -