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20102024
most citedFast Quantum Algorithm for Solving Multivariate Quadratic Equations

22 citations · 39 across the 8 of their papers we have counts for

collaborators

9 papers

cs.CR2024★ 1 cited

Quantum-Safe Hybrid Key Exchanges with KEM-Based Authentication

Christopher Battarbee, Christoph Striecks, Ludovic Perret +2

Authenticated Key Exchange (AKE) between any two entities is one of the most important security protocols available for securing our digital networks and infrastructures. In PQCryp…

math.GR2023

Cryptanalysis of protocols using (Simultaneous) Conjugacy Search Problem in certain Metabelian Platform Groups

Delaram Kahrobaei, Carmine Monetta, Ludovic Perret +2

There are many group-based cryptosystems in which the security relies on the difficulty of solving Conjugacy Search Problem (CSP) and Simultaneous Conjugacy Search Problem (SCSP) i…

cs.CR2023

SPDH-Sign: towards Efficient, Post-quantum Group-based Signatures

Christopher Battarbee, Delaram Kahrobaei, Ludovic Perret +1

In this paper, we present a new diverse class of post-quantum group-based Digital Signature Schemes (DSS). The approach is significantly different from previous examples of group-b…

cs.CR2022★ 1 cited

A Subexponential Quantum Algorithm for the Semidirect Discrete Logarithm Problem

Christopher Battarbee, Delaram Kahrobaei, Ludovic Perret +1

Group-based cryptography is a relatively unexplored family in post-quantum cryptography, and the so-called Semidirect Discrete Logarithm Problem (SDLP) is one of its most central p…

cs.SC2018

A nearly optimal algorithm to decompose binary forms

Matías Bender, Jean-Charles Faugère, Ludovic Perret +1

Symmetric tensor decomposition is an important problem with applications in several areas for example signal processing, statistics, data analysis and computational neuroscience. I…

cs.CR2017★ 22 cited

Fast Quantum Algorithm for Solving Multivariate Quadratic Equations

Jean-Charles Faug`ere, Kelsey Horan, Delaram Kahrobaei +3

In August 2015 the cryptographic world was shaken by a sudden and surprising announcement by the US National Security Agency NSA concerning plans to transition to post-quantum algo…

cs.IT2014

Folding Alternant and Goppa Codes with Non-Trivial Automorphism Groups

Jean-Charles Faugère, Ayoub Otmani, Ludovic Perret +2

The main practical limitation of the McEliece public-key encryption scheme is probably the size of its key. A famous trend to overcome this issue is to focus on subclasses of alter…

cs.SC2013★ 11 cited

Polynomial-Time Algorithms for Quadratic Isomorphism of Polynomials: The Regular Case

Jérémy Berthomieu, Jean-Charles Faugère, Ludovic Perret

Let and be two sets of nonlinear polynomials over ( being a fie…

cs.CR2010★ 4 cited

The Digital Signature Scheme MQQ-SIG

Danilo Gligoroski, Svein Johan Knapskog, Smile Markovski +4

This document contains the Intellectual Property Statement and the technical description of the MQQ-SIG - a new public key digital signature scheme. The complete scientific publica…