Description
In 2005, Faure and Loidreau proposed a new rank-metric cryptosystem inspired from the Hamming metric scheme of Augot-Finiasz in 2003. In 2018, it was broken by the attack of Gaborit, Otmani and Kalachi. Recently, there are some attempts of repairing the Faure-Loidreau scheme, for example the work of Renner, Puchinger and Wachter–Zeh which is called LIGA. In this thesis, we also introduce a new cryptosystem so-called RAMESSES which is another repairing of Faure-Loidreau scheme.<br/> Besides, we also study about the recent attack of Coggia and Couveur in the Loidreau's cryptosystem (2017). Although they only propose an idea for a special case of the dimension of secret subspace, this attack can be generalized. In this thesis, we propose an analysis of Coggia-Couvreur attack on Loidreau’s rank-metric public-key encryption scheme in the general case. The last part is a study about the decoding of the sum of Gabidulin codes which is inspired from the work of Loidreau in 2005 "Welch-Berlekamp Like Algorithm for Decoding Gabidulin Codes". This work is also an attempt to repair the Loidreau's cryptosystem (2017) to avoid the Coggia-Couveur's attack.<br/> lien:
Prochains exposés
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!!! Reporté !!! Encryption homomorphe sans bruit à l'aide de groupes
Orateur : Pierre Guillot - Ravel Technologies (dispo Université de Strasbourg, IRMA)
Je vais rappeler les travaux de Nuida et Ostrovski sur l'utilisation des groupes pour l'élaboration de schémas cryptographiques homomorphes. Je vais présenter nos travaux qui fournissent des encodages à la fois plus efficaces et plus généraux, et qui déterminent exactement quels groupes peuvent être utilisés. Puis je vais discuter GRAFHEN, un protocole qui utilise ces idées. Je dirai juste[…]-
Cryptography
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MIKE: An efficient and compact NIKE Based on a Commutative Monoidal Action
Orateur : Jonathan Komada Eriksen - COSIC, KU Leuven
Robert recently described a powerful correspondence between certain (Hermitian) modules and (polarized) abelian varieties, which simultaneously generalizes both the class-group action underlying protocols such as CSIDH, and the Deuring correspondence, underlying protocols such as SQIsign. Using this correspondence, he also proposed how to construct a post-quantum NIKE, called MIKE, which, at a[…]-
Cryptography
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TBA
Orateur : Anmoal Porwal - Technical University of Munich
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Cryptography
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Asymmetric primitive
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