Improved cryptanalysis of UOV and rainbow

W Beullens - Annual International Conference on the Theory and …, 2021 - Springer
The contributions of this paper are twofold. First, we simplify the description of the
Unbalanced Oil and Vinegar scheme (UOV) and its Rainbow variant, which makes it easier …

One tree to rule them all: Optimizing ggm trees and owfs for post-quantum signatures

C Baum, W Beullens, S Mukherjee, E Orsini… - … Conference on the …, 2025 - Springer
The use of MPC-in-the-Head (MPCitH) based zero knowledge proofs of knowledge (ZKPoK)
to prove knowledge of a preimage of a one-way function (OWF) is a popular approach …

MAYO: practical post-quantum signatures from oil-and-vinegar maps

W Beullens - International Conference on Selected Areas in …, 2021 - Springer
Abstract The Oil and Vinegar signature scheme, proposed in 1997 by Patarin, is one of the
oldest and best understood multivariate quadratic signature schemes. It has excellent …

The lattice-based digital signature scheme qTESLA

E Alkim, PSLM Barreto, N Bindel, J Krämer… - … Conference on Applied …, 2020 - Springer
We present qTESLA, a post-quantum provably-secure digital signature scheme that exhibits
several attractive features such as simplicity, strong security guarantees against quantum …

A comprehensive survey on post-quantum tls

N Alnahawi, J Müller, J Oupický… - IACR Communications …, 2024 - inria.hal.science
Transport Layer Security (TLS) is the backbone security protocol of the Internet. As this
fundamental protocol is at risk from future quantum attackers, many proposals have been …

MQ on my mind: Post-quantum signatures from the non-structured multivariate quadratic problem

R Benadjila, T Feneuil, M Rivain - 2024 IEEE 9th European …, 2024 - ieeexplore.ieee.org
This paper presents MQ on my Mind (MQOM), a digital signature scheme based on the
difficulty of solving multivariate systems of quadratic equations (MQ problem). MQOM has …

SoK: How (not) to design and implement post-quantum cryptography

J Howe, T Prest, D Apon - Cryptographers' Track at the RSA Conference, 2021 - Springer
Post-quantum cryptography has known a Cambrian explosion in the last decade. What
started as a very theoretical and mathematical area has now evolved into a sprawling …

LegRoast: Efficient post-quantum signatures from the Legendre PRF

W Beullens, C Delpech de Saint Guilhem - International Conference on …, 2020 - Springer
We introduce an efficient post-quantum signature scheme that relies on the one-wayness of
the Legendre PRF. This “LEGendRe One-wAyness SignaTure”(LegRoast) builds upon the …

On round elimination for special-sound multi-round identification and the generality of the hypercube for MPCitH

A Hülsing, D Joseph, C Majenz… - Annual International …, 2024 - Springer
A popular way to build post-quantum signature schemes is by first constructing an
identification scheme (IDS) and applying the Fiat-Shamir transform to it. In this work we …

Preliminary cryptanalysis of the biscuit signature scheme

C Bouillaguet, J Sauvage - Cryptology ePrint Archive, 2024 - eprint.iacr.org
Biscuit is a recent multivariate signature scheme based on the MPC-in-the-Head paradigm.
It has been submitted to the NIST competition for additional signature schemes. Signatures …