Jean Claude Bajard

Publications

Article dans une revue (15)

On Polynomial Modular Number Systems over $ \mathbb{Z}/{p}\mathbb{Z} $ Jean-Claude Bajard,Jérémy Marrez,Thomas Plantard,Pascal Véron Advances in Mathematics of Communications, 2024, 18 (3), pp.674-695. ⟨10.3934/amc.2022018⟩ Article dans une revue hal-03611829v1
Fast verification and public key storage optimization for unstructured lattice-based signatures Jean-Claude Bajard,Kazuhide Fukushima,Thomas Plantard,Arnaud Sipasseuth Journal of Cryptographic Engineering, 2023, Journal of Cryptographic Engineering (2023), ⟨10.1007/s13389-023-00309-1⟩ Article dans une revue hal-03959746v1
Generating Very Large RNS Bases Jean Claude Bajard,Kazuhide Fukushima,Thomas Plantard,Arnaud Sipasseuth IEEE Transactions on Emerging Topics in Computing, 2022, pp.1-12. ⟨10.1109/TETC.2022.3187072⟩ Article dans une revue hal-03719386v1
Montgomery-friendly primes and applications to cryptography Jean-Claude Bajard,Sylvain Duquesne Journal of Cryptographic Engineering, 2021, 11 (4), p. 399-415. ⟨10.1007/s13389-021-00260-z⟩ Article dans une revue hal-02883333v1
Improving the Efficiency of SVM Classification with FHE Jean-Claude Bajard,Paulo Martins,Leonel Sousa,Vincent Zucca IEEE Transactions on Information Forensics and Security, 2019, 15, pp.1709-1722. ⟨10.1109/TIFS.2019.2946097⟩ Article dans une revue hal-02309744v1
Resilience of randomized RNS arithmetic with respect to side-channel leaks of cryptographic computation Jérôme Courtois,Lokman A. Abbas-Turki,Jean-Claude Bajard IEEE Transactions on Computers, 2019, 68 (12), pp.1720-1730. ⟨10.1109/TC.2019.2924630⟩ Article dans une revue hal-02174744v1
Montgomery reduction within the context of residue number system arithmetic Jean-Claude Bajard,Julien Eynard,Nabil Merkiche Journal of Cryptographic Engineering, 2018, 8 (3), pp.189-200. ⟨10.1007/s13389-017-0154-9⟩ Article dans une revue hal-01494547v1
Arithmetical Improvement of the Round-Off for Cryptosystems in High-Dimensional Lattices Paulo Martins,Julien Eynard,Jean-Claude Bajard,Leonel Sousa IEEE Transactions on Computers, 2017, PP (Issue: 99), ⟨10.1109/TC.2017.2690420⟩ Article dans une revue hal-01527945v1
Combining leak–resistant arithmetic for elliptic curves defined over Fp and RNS representation Jean-Claude Bajard,Sylvain Duquesne,Milos Ercegovac Publications Mathématiques de Besançon. Algèbre et Théorie des Nombres, 2013, pp.67-87 Article dans une revue hal-01098795v1
RNS-Based Elliptic Curve Point Multiplication for Massive Parallel Architectures Samuel Antão,Jean-Claude Bajard,Leonel Sousa The Computer Journal, 2012, 55 (5), pp.629-647. ⟨10.1093/comjnl/bxr119⟩ Article dans une revue hal-01098800v1
An Algorithmic and Architectural Study on Montgomery Exponentiation in RNS Filippo Gandino,Fabrizio Lamberti,Gianluca Paravati,Jean-Claude Bajard,Paolo Montuschi IEEE Transactions on Computers, 2012, 61 (8), pp.1071-1083. ⟨10.1109/tc.2012.84⟩ Article dans une revue hal-01098799v1
Arithmetic Operations in Finite Fields of Medium Prime Characteristic using the Lagrange Representation Jean-Claude Bajard,Laurent Imbert,Christophe Negre IEEE Transactions on Computers, 2006, 55 (9), pp.1167-1177. ⟨10.1109/TC.2006.136⟩ Article dans une revue lirmm-00102865v1
A Full RNS Implementation of RSA Jean-Claude Bajard,Laurent Imbert IEEE Transactions on Computers, 2004, 53 (6), pp.769-774. ⟨10.1109/TC.2004.2⟩ Article dans une revue lirmm-00108553v1
A VLSI circuit for on-line polynomial computing: application to exponential, trigonometric and hyperbolic functions A. Skaf,Jean-Claude Bajard,A. Guyot,Jean-Michel Muller IFIP-Transactions-A-Computer-Science-and-Technology, 1994, A-42, pp.93-100 Article dans une revue hal-00014954v1
BKM: a new hardware algorithm for complex elementary functions Jean-Michel Muller,Jean-Claude Bajard,Sylvanus Kla IEEE Transactions on Computers, 1994, 43 (8), pp.955-963. ⟨10.1109/12.295857⟩ Article dans une revue ensl-00086894v1

Communication dans un congrès (35)

Generating Residue Number System Bases Jean-Claude Bajard,Kazuhide Fukushima,Shinsaku Kiyomoto,Thomas Plantard,Arnaud Sipasseuthet al. ARITH 2021- IEEE 28th Symposium on Computer Arithmetic, Jun 2021, Virtual, France. pp.86-93, ⟨10.1109/ARITH51176.2021.00027⟩ Communication dans un congrès hal-03457951v1
An asymptotically faster version of FV supported on HPR Jean-Claude Bajard,Julien Eynard,Paulo Martins,Leonel Sousa,Vincent Zucca ARITH-2020 - 27th IEEE International Symposium on Computer Arithmetic, Jun 2020, Portland, United States. ⟨10.1109/ARITH48897.2020.00020⟩ Communication dans un congrès hal-02883325v1
HyPoRes: An Hybrid Representation System for ECC Paulo Martins,Jérémy Marrez,Jean-Claude Bajard,Leonel Sousa 2019 IEEE 26th Symposium on Computer Arithmetic (ARITH), Jun 2019, Kyoto, Japan. pp.207-214, ⟨10.1109/ARITH.2019.00049⟩ Communication dans un congrès hal-02337787v1
Multi-fault Attack Detection for RNS Cryptographic Architecture Jean-Claude Bajard,Julien Eynard,Nabil Merkiche IEEE 23rd Symposium on Computer Arithmetic (ARITH 23), Jul 2016, Santa Clara, CA, United States. ⟨10.1109/ARITH.2016.16⟩ Communication dans un congrès hal-01346597v1
A Full RNS Variant of FV like Somewhat Homomorphic Encryption Schemes Jean-Claude Bajard,Julien Eynard,Anwar Hasan,Vincent Zucca Selected Areas in Cryptography - SAC, Aug 2016, St. John's, Newfoundland and Labrador, Canada. ⟨10.1007/978-3-319-69453-5_23⟩ Communication dans un congrès hal-01371941v1
RNS Arithmetic Approach in Lattice-based Cryptography Accelerating the &quot; Rounding-off &quot; Core Procedure Jean-Claude Bajard,Julien Eynard,Nabil Merkiche,Thomas Plantard 2015 IEEE 22nd Symposium on Computer Arithmetic, Jun 2015, Lyon, France. pp.113-120, ⟨10.1109/ARITH.2015.30⟩ Communication dans un congrès hal-01170577v1
Programmable RNS lattice-based parallel cryptographic decryption Paulo Martins,Leonel Sousa,Julien Eynard,Jean-Claude Bajard IEEE ASAP 2015 Conference, Jul 2015, Totonto, Canada. ⟨10.1109/ASAP.2015.7245723⟩ Communication dans un congrès hal-01202056v1
Babaï Round-Off CVP method in RNS Application to Lattice based cryptographic protocols Jean-Claude Bajard,Julien Eynard,Nabil Merkiche,Thomas Plantard International Symposium on Integrated Circuits, ISIC 2014, Dec 2014, Singapore, Singapore. pp.440-443, ⟨10.1109/ISICIR.2014.7029534⟩ Communication dans un congrès hal-01098802v1
Double Level Montgomery Cox-Rower Architecture, New Bounds Jean-Claude Bajard,Nabil Merkiche CARDIS 2014, 13th Smart Card Research and Advanced Application Conference, Nov 2014, Paris, France. pp.139-153, ⟨10.1007/978-3-319-16763-3_9⟩ Communication dans un congrès hal-01098803v1
Fault Detection in RNS Montgomery Modular Multiplication Jean-Claude Bajard,Julien Eynard,Filippo Gandino 21st IEEE Symposium on Computer Arithmetic, Apr 2013, Austin, United States. pp.119 - 126, ⟨10.1109/ARITH.2013.31⟩ Communication dans un congrès hal-01065507v1
A general approach for improving RNS Montgomery exponentiation using pre-processing Filippo Gandino,Fabrizio Lamberti,Paolo Montuschi,Jean-Claude Bajard ARITH 2011 - 20th IEEE Symposium on Computer Arithmetic, Jul 2011, Tübingen, Germany. pp.195-204, ⟨10.1109/ARITH.2011.35⟩ Communication dans un congrès hal-01098806v1
Rho-Direct Form transposed and Residue Number Systems for Filter implementations Jean-Claude Bajard,Laurent-Stéphane Didier,Thibault Hilaire IEEE 54th International Midwest Symposium on Circuits and Systems (MWSCAS), Aug 2011, Seoul, South Korea. pp.1-4, ⟨10.1109/MWSCAS.2011.6026263⟩ Communication dans un congrès hal-01098805v1
A Secure and Efficient Authenticated Diffie–Hellman Protocol Augustin Sarr,Philippe Elbaz-Vincent,Jean-Claude Bajard EUROPKI'09 - 6th European Workshop on Public Key Services, Applications and Infrastructures, Sep 2009, Pisa, Italy. pp.83-98, ⟨10.1007/978-3-642-16441-5_6⟩ Communication dans un congrès hal-01099442v1
A New Security Model for Authenticated Key Agreement Augustin Sarr,Philippe Elbaz-Vincent,Jean-Claude Bajard Seventh Conference on Security and Cryptography for Networks (SNC), Sep 2010, Amalfi, Italy. pp.219 - 234, ⟨10.1007/978-3-642-15317-4_15⟩ Communication dans un congrès hal-01099279v1
Pseudo-Random Generator Based on Chinese Remainder Theorem Jean-Claude Bajard,Heinrich Hördegen SPIE 2009, Advanced Signal Processing Algorithms, Architectures, and Implementations XIX, Aug 2009, San-Diego, United States. pp.8 Communication dans un congrès lirmm-00416194v1
Selected RNS Bases for Modular Multiplication Jean-Claude Bajard,Marcelo Kaihara,Thomas Plantard ARITH'2009: 19th Symposium on Computer Arithmetic, Jun 2009, Portland, Oregon, United States. pp.25-35, ⟨10.1109/ARITH.2009.20⟩ Communication dans un congrès lirmm-00394985v1
Floating-point geometry: toward guaranteed geometric computations with approximate arithmetics Jean-Claude Bajard,Philippe Langlois,Dominique Michelucci,Géraldine Morin,Nathalie Revol Advanced Signal Processing Algorithms, Architectures, and Implementations XVIII, Aug 2008, San Diego, United States. 70740M (12 p.), ⟨10.1117/12.796597⟩ Communication dans un congrès hal-00321291v1
A Residue Approach of the Finite Fields Arithmetics Jean-Claude Bajard The Asilomar Conference on Signals, Systems, and Computers, Nov 2007, Asilomar Conference Center California US, pp.5 Communication dans un congrès lirmm-00182693v1
Pairing in Cryptography: an Arithmetic Point of View Jean-Claude Bajard,Nadia El Mrabet Advanced Signal Processing Algorithms, Architectures, and Implementations XVII, Aug 2007, San Diego, California, United States. ⟨10.1117/12.733789⟩ Communication dans un congrès lirmm-00181362v1
Amélioration de la sécurité des circuits intégrés par codage de l'information Julien Francq,Jean-Baptiste Rigaud,Pascal Manet,Jean-Claude Bajard,Arnaud Tisserand JNRDM'07: 10ème Journées Nationales du Réseau Doctoral en Microélectronique, Lille, France Communication dans un congrès lirmm-00182636v1
Implémentation Matérielle d'une Arithmétique Résistante aux Fuites Benoit Badrignans,Daniel Mesquita,Jean-Claude Bajard,Lionel Torres,Gilles Sassatelliet al. RenPar/ SympAAA/ CFSE - Rencontres Francophones en Parallélisme, Architecture, Adéquation Algorithmes Architecture et Système, Oct 2006, Canet en Roussillon, France. pp.57-74 Communication dans un congrès lirmm-00107317v1
Residue systems efficiency for modular products summation: Application to Elliptic Curves Cryptography Jean-Claude Bajard,Sylvain Duquesne,Milos Ercegovac,Nicolas Méloni Proceedings of SPIE : Advanced Signal Processing Algorithms, Architectures, and Implementations XVI, Aug 2006, pp.0 Communication dans un congrès lirmm-00146450v1
Face Protection by Fast Selective Encryption in a Video José Marconi Rodrigues,William Puech,Peter Meuel,Jean-Claude Bajard,Marc Chaumont IET THE CRIME AND SECURITY Conference, Jun 2006, pp.420-425 Communication dans un congrès lirmm-00109723v1
Arithmetic Operations in the Polynomial Modular Number System Jean-Claude Bajard,Laurent Imbert,Thomas Plantard ARITH'05: 17th IEEE Symposium on Computer Arithmetic, 2005, USA, pp.206-213 Communication dans un congrès lirmm-00387051v1
Study of Modular Inversion in RNS Jean-Claude Bajard,Nicolas Méloni,Thomas Plantard SPIE'05: Advanced Signal Processing AlgorithmsArchitectures and Implementations XV, Jul 2005, San Diego, CA (USA) Communication dans un congrès lirmm-00106063v1
A CRT-Based Montgomery Multiplication for Finite Fields of Small Characteristic Jean-Claude Bajard,Laurent Imbert,Graham A. Jullien,Hugh C. Williams IMACS: Scientific Computation, Applied Mathematics and Simulation, Jul 2005, Paris, France Communication dans un congrès lirmm-00106455v1
Efficient RNS Bases for Cryptography Jean-Claude Bajard,Nicolas Méloni,Thomas Plantard 17th IMACS World Congress Scientific Computation, Applied Mathematics and Simulation, Jul 2005, Paris, France Communication dans un congrès lirmm-00106470v1
Modular Number Systems: Beyond the Mersenne Family Jean-Claude Bajard,Laurent Imbert,Thomas Plantard SAC'04: 11th International Workshop on Selected Areas in Cryptography, Aug 2005, University of Waterloo, Ontario (Canada), pp.159-169 Communication dans un congrès lirmm-00105957v1
Parallel Montgomery Multiplication in GF(2^k) Using Trinomial Residue Arithmetic Jean-Claude Bajard,Laurent Imbert,G.A. Jullien ARITH'17: IEEE Symposium on Computer Arithmetic, Jun 2005, Cape Cod, Massachusetts (USA), pp.164-171 Communication dans un congrès lirmm-00106024v1
RNS Bases and Conversions Jean-Claude Bajard,Thomas Plantard SPIE'04: Advanced Signal Processing AlgorithmsArchitectures and Implementations XIV, Aug 2004, Denver, Colorado (USA), pp.60-69 Communication dans un congrès lirmm-00108875v1
Leak Resistant Arithmetic Jean-Claude Bajard,Laurent Imbert,Pierre-Yvan Liardet,Y. Teglia CHES'04: Cryptographic Hardware and Embedded Systems, Aug 2004, Boston, MA, (USA), pp.62-75 Communication dans un congrès lirmm-00108863v1
Improving Euclidean Division and Modular Reduction for Some Classes of Divisors Jean-Claude Bajard,Laurent Imbert,Thomas Plantard Asilomar Conference on Signals, Systems and Computers, Nov 2003, Asilomar, CA, United States. pp.2218-2221, ⟨10.1109/ACSSC.2003.1292374⟩ Communication dans un congrès lirmm-00269572v1
Efficient Multiplication in GF (p^k) for Elliptic Curve Cryptography Jean-Claude Bajard,Laurent Imbert,Christophe Negre,Thomas Plantard ARITH-16'03: IEEE Symposium on Computer Arithmetic, Jun 2003, Santiago de Compostela, Spain. pp.181-187 Communication dans un congrès lirmm-00269538v1
Modular Multiplication in GF (p^k) Using Lagrange Representation Jean-Claude Bajard,Laurent Imbert,Christophe Negre IndoCryp: International Cryptology Conference in India, 2002, Hyderabad, India. pp.275-284 Communication dans un congrès lirmm-00268466v1
Design of a VLSI circuit for on-line evaluation of several elementary functions using their Taylor expansions Jean-Claude Bajard,A. Guyot,Jean-Michel Muller,A. Skaf Proceedings.-International-Conference-on-Application-Specific-Array-Processors-Cat.-No.93TH0572-8. 1993:, 1993, Venice, Italy. pp.526-35, ⟨10.1109/ASAP.1993.397172⟩ Communication dans un congrès hal-00014928v1

Ouvrages (1)

Calcul et Arithmétique des Ordinateurs Jean-Claude Bajard,J.M. Muller Hermes Science, 226 p., 2004, 2-7462-0861-X Ouvrages lirmm-00109152v1

Chapitre d'ouvrage (2)

RNS Approach in Lattice-Based Cryptography Jean-Claude Bajard,Julien Eynard Springer International Publishing. Embedded Systems Design with Special Arithmetic and Number Systems, , pp 345-368, 2017, 978-3-319-49741-9. ⟨10.1007/978-3-319-49742-6_13⟩ Chapitre d'ouvrage hal-01496793v1
Calcul sur les Corps Finis Jean-Claude Bajard Traité IC2 (Série Informatique et Systèmes d'Information) Calcul et Arithmétique des Ordinateurs, Hermes Science, pp.207-226, 2004 Chapitre d'ouvrage lirmm-00109154v1

Autre publication scientifique (1)

Amélioration de la sécurité des circuits intégrés par codage de l'information Julien Francq,Jean-Baptiste Rigaud,Pascal Manet,Jean-Claude Bajard,Arnaud Tisserand 2007 Autre publication scientifique emse-00494265v1

Pré-publication, Document de travail (1)

On Polynomial Modular Number Systems over Z/pZ Jean-Claude Bajard,Jérémy Marrez,Thomas Plantard,Pascal Véron 2020 Pré-publication, Document de travail hal-02883341v1

Rapport (12)

Differential Power Analysis against the Miller Algorithm Nadia El Mrabet,Giorgio Di Natale,Marie-Lise Flottes,Bruno Rouzeyre,Jean-Claude Bajard RR-08021, 2008 Rapport lirmm-00323684v1
Combining Montgomery Ladder for Elliptic Curves Defined over $\F_p$ and RNS Representation Jean-Claude Bajard,Sylvain Duquesne,Nicolas Méloni [Research Report] 06041, LIR. 2006 Rapport (rapport de recherche) lirmm-00102859v1
Arithmetic Operations in Finite Fields of Medium Prime Characteristic for Elliptic Curve Cryptography Jean-Claude Bajard,Laurent Imbert,Christophe Negre 05028, 2005 Rapport lirmm-00106633v1
Arithmetic Operations in the Polynomial Modular Number System Jean-Claude Bajard,Laurent Imbert,Thomas Plantard 04030, 2004, 26 p Rapport lirmm-00109201v1
Fast Modular Reduction for a Large Class of Moduli Jean-Claude Bajard,Laurent Imbert,Graham A. Jullien,Thomas Plantard [Research Report] 04007, LIRMM (UM, CNRS). 2004 Rapport (rapport de recherche) lirmm-00109210v1
Modular Number Systems: Beyond the Mersenne Family Jean-Claude Bajard,Laurent Imbert,Thomas Plantard [Research Report] 04006, LIRMM. 2004 Rapport (rapport de recherche) lirmm-00109208v1
Leak Resistant Arithmetic Jean-Claude Bajard,Laurent Imbert,Pierre-Yvan Liardet 03021, 2003, pp.P nd Rapport lirmm-00269571v1
Leak Resistant Arithmetic Jean-Claude Bajard,Laurent Imbert,Pierre-Yvan Liardet 03021, 2003 Rapport lirmm-00269442v1
Leak Resistant Arithmetic Jean-Claude Bajard,Laurent Imbert,Pierre-Yvan Liardet 03021, 2003, pp.P nd Rapport lirmm-00191922v1
A Full RNS Implementation of RSA Laurent Imbert,Jean-Claude Bajard 02068, 2002 Rapport lirmm-00090366v1
An Optimised Implementation of RSA in the Residue Number System Laurent Imbert,Jean-Claude Bajard 02130, 2002, pp.P nd Rapport lirmm-00268425v1
Modular Multiplication in GF (p^k) Using Lagrange Representation Jean-Claude Bajard,Laurent Imbert,Christophe Negre 02131, 2002 Rapport lirmm-00090350v1