Description
Zero-knowledge proofs of knowledge are useful tools for designing signature schemes. Among the existing techniques, the MPC-in-Head (MPCitH) paradigm provides a generic framework to build quantum-resilient proofs using techniques from secure multiparty computation. This paradigm has recently been improved in a series of works which makes it an effective and versatile tool. In this talk, I will present the recent advances in post-quantum signatures relying on the MPC-in-the-Head. After a general introduction to MPCitH, I will provide an overview of the state of the art that led to the MPCitH-based candidates that have been submitted to the additional NIST call for post-quantum signatures. Then, I will present the Threshold-Computation-in-the-Head (TCitH) framework, based on joint works with Matthieu Rivain. This framework extends common MPC-in-the-Head techniques by using Shamir’s secret sharing (instead of additive sharing) to achieve significant improvements in terms of sizes and timings.
Prochains exposés
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Random lattices that are modules over the ring of integers
Orateur : Nihar Gargava - Institut de Mathématiques d'Orsay
We investigate the average number of lattice points within a ball where the lattice is chosen at random from the set of unit determinant ideal or modules lattices of some cyclotomic number field. The goal is to consider the space of such lattice as a probabilistic space and then study the distribution of lattice point counts. This is inspired by the connections of this problem to lattice-based[…]-
Cryptography
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Schéma de signature à clé publique : Frobénius-UOV
Orateur : Gilles Macario-Rat - Orange
L'exposé présente un schéma de signature à clé publique post-quantique inspiré du schéma UOV et introduisant un nouvel outil : les formes de Frobénius. L'accent est mis sur le rôle et les propriétés des formes de Frobénius dans ce nouveau schéma : la simplicité de description, la facilité de mise en oeuvre et le gain inédit sur les tailles de signature et de clé qui bat RSA-2048 au niveau de[…] -
Cryptanalysis of full BEANIE
Orateur : Xavier Bonnetain - Inria
BEANIE is a tweakable block cipher recently published at ToSC aiming for memory encryption of microcontroller units. In line with this goal, it handles small plaintexts of only 32 bits and has a low latency. In this paper, we propose the first third-party analysis of the two variants of BEANIE. By carefully leveraging structural properties of the cipher and taking advantage of its distinctive[…]-
Cryptography
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Symmetrical primitive
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