An IWS Montgomery Modular Multiplication Algorithm. - Jean-Claude Bajard; Laurent-Stéphane Didier; Peter Kornerup (IEEE Symposium on Computer Arithmetic, 1997)

An RNS Montgomery Modular Multiplication Algorithm. - Jean-Claude Bajard; Laurent-Stéphane Didier; Peter Kornerup (IEEE Trans. Computers, 1998)

A New Euclidean Division Algorithm for Residue Number Systems. - Jean-Claude Bajard; Laurent-Stéphane Didier; Jean-Michel Muller (J. VLSI Signal Process., 1998)

Modular Multiplication and Base Extensions in Residue Number Systems. - Jean-Claude Bajard; Laurent-Stéphane Didier; Peter Kornerup (IEEE Symposium on Computer Arithmetic, 2001)

High Radix BKM Algorithm. - Laurent-Stéphane Didier; Fabien Rico (Numer. Algorithms, 2004)

Une nouvelle base RNS à 4 moduli et son convertisseur vers le binaire. - Laurent-Stéphane Didier; Pierre-Yves Rivaille (Tech. Sci. Informatiques, 2008)

A Generalization of a Fast RNS Conversion for a New 4-Modulus Base. - Laurent-Stéphane Didier; Pierre-Yves Rivaille (IEEE Trans. Circuits Syst. II Express Briefs, 2009)

Table-Based Division by Small Integer Constants. - Florent de Dinechin; Laurent-Stéphane Didier (ARC, 2012)

Range estimation of floating-point variables in Simulink models. - Alexandre Chapoutot; Laurent-Stéphane Didier; Fanny Villers (DASIP, 2012)

Sum-of-products evaluation schemes with fixed-point arithmetic, and their application to IIR filter implementation. - Benoit Lopez; Thibault Hilaire; Laurent-Stéphane Didier (DASIP, 2012)

Design of fixed-point embedded systems (DEFIS) French ANR project. - Daniel Ménard; Romuald Rocher; Olivier Sentieys; Nicolas Simon; Laurent-Stéphane Didier; Thibault Hilaire; Benoit Lopez; Eric Goubault; Sylvie Putot; Franck Védrine; Amine Najahi; Guillaume Revy; et al. (DASIP, 2012)

Fast modulo 2n-1 and 2n;1 adder using carry-chain on FPGA. - Laurent-Stéphane Didier; Luc Jaulmes (ACSSC, 2013)

Formatting Bits to Better Implement Signal Processing Algorithms. - Benoit Lopez; Thibault Hilaire; Laurent-Stéphane Didier (PECCS, 2014)

Hardware Division by Small Integer Constants. - H. Fatih Ugurdag; Florent de Dinechin; Y. Serhan Gener; Sezer Gören 001; Laurent-Stéphane Didier (IEEE Trans. Computers, 2017)

Randomization of Arithmetic Over Polynomial Modular Number System. - Laurent-Stéphane Didier; Fangan-Yssouf Dosso; Nadia El Mrabet; Jérémy Marrez; Pascal Véron (ARITH, 2019)

Hardware Optimization on FPGA for the Modular Multiplication in the AMNS Representation. - Asma Chaouch; Fangan-Yssouf Dosso; Laurent-Stéphane Didier; Nadia El Mrabet; Bouraoui Ouni; Belgacem Bouallegue (CRiSIS, 2019)

Efficient and secure modular operations using the Adapted Modular Number System. - Laurent-Stéphane Didier; Fangan-Yssouf Dosso; Pascal Véron (CoRR, 2019)

Efficient modular operations using the adapted modular number system. - Laurent-Stéphane Didier; Fangan-Yssouf Dosso; Pascal Véron (J. Cryptogr. Eng., 2020)

Two hardware implementations for modular multiplication in the AMNS: Sequential and semi-parallel. - Asma Chaouch; Laurent-Stéphane Didier; Fangan-Yssouf Dosso; Nadia El Mrabet; Belgacem Bouallegue; Bouraoui Ouni (J. Inf. Secur. Appl., 2021)

A software comparison of RNS and PMNS. - Laurent-Stéphane Didier; Jean-Marc Robert 003; Fangan-Yssouf Dosso; Nadia El Mrabet (ARITH, 2022)

Truncated multiplication and batch software SIMD AVX512 implementation for faster Montgomery multiplications and modular exponentiation. - Laurent-Stéphane Didier; Nadia El Mrabet; Léa Glandus; Jean-Marc Robert 003 (IACR Commun. Cryptol., 2024)

RISC-V Word-Size Modular Instructions for Residue Number Systems. - Laurent-Stéphane Didier; Jean-Marc Robert 003 (CoRR, 2024)