Description
The McEliece cryptosystem is based on classical Goppa codes over F_2. Generalizations of the McEliece cryptosystem using Goppa codes over larger fields F_q were investigated but not found to offer advantages for small q. We showed that codes over F_31 offer advantages in key size compared to codes over F_2 while maintaining the same security level against all attacks known. However, codes over smaller fields such as F_3 were still not competitive in key size with binary codes.<br/> The "wild McEliece cryptosystem" uses wild Goppa codes over finite fields to achieve smaller public key sizes compared to the original McEliece cryptosystem. This proposal makes "larger tiny fields" attractive and bridges the gap between F_2 and F_31. We added an extra shield to the wild McEliece cryptosystem, slightly increasing key sizes but drastically increasing the pool of Goppa polynomials to choose from.
Prochains exposés
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Attacking the Supersingular Isogeny Problem: From the Delfs–Galbraith algorithm to oriented graphs
Orateur : Arthur Herlédan Le Merdy - COSIC, KU Leuven
The threat of quantum computers motivates the introduction of new hard problems for cryptography.One promising candidate is the Isogeny problem: given two elliptic curves, compute a “nice’’ map between them, called an isogeny.In this talk, we study classical attacks on this problem, specialised to supersingular elliptic curves, on which the security of current isogeny-based cryptography relies. In[…]-
Cryptography
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Verification of Rust Cryptographic Implementations with Aeneas
Orateur : 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
Orateur : 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
Orateur : 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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