International Association for Cryptologic Research

International Association
for Cryptologic Research

CryptoDB

Jean-Charles Faugère

Publications

Year
Venue
Title
2019
TCHES
Software Toolkit for HFE-based Multivariate Schemes 📺
Jean-Charles Faugère Ludovic Perret Jocelyn Ryckeghem
In 2017, NIST shook the cryptographic world by starting a process for standardizing post-quantum cryptography. Sixty-four submissions have been considered for the first round of the on-going NIST Post-Quantum Cryptography (PQC) process. Multivariate cryptography is a classical post-quantum candidate that turns to be the most represented in the signature category. At this stage of the process, it is of primary importance to investigate efficient implementations of the candidates. This article presents MQsoft, an efficient library which permits to implement HFE-based multivariate schemes submitted to the NIST PQC process such as GeMSS, Gui and DualModeMS. The library is implemented in C targeting Intel 64-bit processors and using avx2 set instructions. We present performance results for our library and its application to GeMSS, Gui and DualModeMS. In particular, we optimize several crucial parts for these schemes. These include root finding for HFE polynomials and evaluation of multivariate quadratic systems in F2. We propose a new method which accelerates root finding for specific HFE polynomials by a factor of two. For GeMSS and Gui, we obtain a speed-up of a factor between 2 and 19 for the keypair generation, between 1.2 and 2.5 for the signature generation, and between 1.6 and 2 for the verifying process. We have also improved the arithmetic in F2n by a factor of 4 compared to the NTL library. Moreover, a large part of our implementation is protected against timing attacks.
2015
PKC
2015
PKC
2014
EUROCRYPT
2014
PKC
2014
PKC
2014
PKC
2014
JOFC
2014
ASIACRYPT
2012
EUROCRYPT
2011
PKC
2011
PKC
2011
ASIACRYPT
2010
PKC
2010
PKC
2010
EUROCRYPT
2008
CRYPTO
2007
FSE
Groebner Bases. Applications in Cryptology
Jean-Charles Faugère
2006
CRYPTO
2006
EUROCRYPT
2004
ASIACRYPT
2003
CRYPTO

Program Committees

Eurocrypt 2016
PKC 2015