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Seminar
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Cryptography
Isogenies over Hessian Model of Elliptic Curves
Speaker : 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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Seminar
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Cryptography
Binary codes, hyperelliptic curves, and the Serre bound
Speaker : Ivan Pogildiakov - Rennes
TBA lien: https://seminaire-c2.inria.fr/ -
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Seminar
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Cryptography
New uses in Symmetric Cryptography: from Cryptanalysis to Designing
Speaker : 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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Seminar
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Cryptography
PMNS for efficient arithmetic and small memory cost
Speaker : 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[…] -
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Seminar
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Cryptography
The Revival of Quadratic Fields Cryptography
Speaker : Guilhem Castagnos - Université Bordeaux 1
More than 30 years ago, Buchmann and Williams proposed using ideal class groups of imaginary quadratic fields in cryptography with a Diffie-Hellman style key exchange protocol. After several twists, there has been in recent years a new interest in this area. This rebirth is mainly due to two features. First, class groups of imaginary quadratic fields allow the design of cryptographic protocols[…] -
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Seminar
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Cryptography
On the hardness of the NTRU problem
Speaker : Alice Pellet-Mary - CNRS, Institut Mathématiques de Bordeaux
The NTRU problem is an algorithmic problem over structured lattices that was introduced by Hoffstein, Pipher, and Silverman more than 20 years ago, and which has been used to construct various cryptographic primitives. However, its relation to other lattice problems is still not well understood.<br/> In this talk, we will describe different variants of the NTRU problem, and study how they compare[…] -