Description
SFLASH est un schéma de signature, proposé par Patarin, Goubin et Courtois en 2001 qui a été sélectionné par le consortium européen NESSIE comme un schéma ayant un niveau de sécurité en 2^{80}. Récemment, avec Dubois, Shamir et Stern, nous avons proposé de nouvelles attaques différentielles sur les schémas multivariés qui ont permis de casser ce schéma en pratique, moins de 3 minutes en tout. Dans cet exposé, on montrera ces attaques et les développements nouveaux qui permettent de remonter à une clé secrète équivalente et permettent d'attaquer le problème IP (Isomorphisms of Polynomials) à la base de schéma de traitor tracing proposé par Billet et Gilbert à Asiacrypt 2003.
Next sessions
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Verification of Rust Cryptographic Implementations with Aeneas
Speaker : Aymeric Fromherz - Inria
From secure communications to online banking, cryptography is the cornerstone of most modern secure applications. Unfortunately, cryptographic design and implementation is notoriously error-prone, with a long history of design flaws, implementation bugs, and high-profile attacks. To address this issue, several projects proposed the use of formal verification techniques to statically ensure the[…] -
On the average hardness of SIVP for module lattices of fixed rank
Speaker : Radu Toma - Sorbonne Université
In joint work with Koen de Boer, Aurel Page, and Benjamin Wesolowski, we study the hardness of the approximate Shortest Independent Vectors Problem (SIVP) for random module lattices. We use here a natural notion of randomness as defined originally by Siegel through Haar measures. By proving a reduction, we show it is essentially as hard as the problem for arbitrary instances. While this was[…] -
Endomorphisms via Splittings
Speaker : Min-Yi Shen - No Affiliation
One of the fundamental hardness assumptions underlying isogeny-based cryptography is the problem of finding a non-trivial endomorphism of a given supersingular elliptic curve. In this talk, we show that the problem is related to the problem of finding a splitting of a principally polarised superspecial abelian surface. In particular, we provide formal security reductions and a proof-of-concept[…]-
Cryptography
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