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Séminaire
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Cryptographie
Fault tolerant algorithms via decoding: Interleaving techniques
Orateur : Eleonora Guerrini - Université Montpellier
Evaluation Interpolation algorithms are a key tool for the algebraic decoding of a large class of codes, including the famous Reed Solomon codes. Recent techniques allow the use of this type of decoding in the more general setting of fault tolerant algorithms, where one has to interpolate erroneous data (potentially computed by an untrusted entity). In this talk we will present algorithms to[…] -
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Séminaire
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Cryptographie
Soutenance de thèse: Algebraic Cryptanalysis of the Shortest Vector Problem in Ideal Lattices
Orateur : Olivier Bernard - Rennes
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Séminaire
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Cryptographie
Isogenies over Hessian Model of Elliptic Curves
Orateur : Emmanuel Fouotsa - Université de Bamenda
In this talk we present explicit formulas for isogenies between elliptic curves in (twisted) Hessian form. We examine the numbers of operations in the base field to compute the formulas. In comparison with other isogeny formulas, we note that the obtained formulas for twisted Hessian curves have the lowest costs for processing the kernel and the X-affine formula has the lowest cost for processing[…] -
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Séminaire
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Cryptographie
Binary codes, hyperelliptic curves, and the Serre bound
Orateur : Ivan Pogildiakov - Rennes
TBA lien: https://seminaire-c2.inria.fr/ -
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Séminaire
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Cryptographie
New uses in Symmetric Cryptography: from Cryptanalysis to Designing
Orateur : Clémence Bouvier - INRIA
New symmetric primitives are being designed to be run in abstract settings such as Multi-Party Computations (MPC) or Zero-Knowledge (ZK) proof systems. More particularly, these protocols have highlighted the need to minimize the number of multiplications performed by the primitive in large finite fields.<br/> As the number of such primitives grows, it is important to better understand the[…] -
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Séminaire
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Cryptographie
PMNS for efficient arithmetic and small memory cost
Orateur : Fangan Yssouf Dosso - Ecole des Mines de Saint-Etienne
The Polynomial Modular Number System (PMNS) is an integer number system which aims to speed up arithmetic operations modulo a prime p. Such a system is defined by a tuple (p, n, g, r, E), where p, n, g and r are positive integers, E is a monic polynomial with integer coefficients, having g as a root modulo p. Most of the work done on PMNS focus on polynomials E such that E(X) = X^n – l, where l is[…] -