Nicolas Méloni

25
Documents

Publications

Publications

Friendly primes for efficient modular arithmetic using the Polynomial Modular Number System

Fangan Yssouf Dosso , Nadia El Mrabet , Nicolas Méloni , François Palma , Pascal Véron

Journal of Cryptographic Engineering, 2025, 15 (3), pp.18. ⟨10.1007/s13389-025-00382-8⟩

Article dans une revue hal-05317285v1
Deposit thumbnail

PMNS for Cryptography : A Guided Tour

Nicolas Méloni , François Palma , Pascal Véron

Advances in Mathematics of Communications, In press, ⟨10.3934/amc.2023033⟩

Article dans une revue hal-04195613v1
Deposit thumbnail

An Alternative Approach to Polynomial Modular Number System Internal Reduction

Nicolas Méloni

IEEE Transactions on Emerging Topics in Computing, 2022, ⟨10.1109/TETC.2022.3190368⟩

Article dans une revue hal-03635347v2
Deposit thumbnail

Euclidean addition chains scalar multiplication on curves with efficient endomorphism

Fangan-Yssouf Dosso , Fabien Herbaut , Nicolas Méloni , Pascal Véron

Journal of Cryptographic Engineering, In press, ⟨10.1007/s13389-018-0190-0⟩

Article dans une revue hal-01794402v1
Deposit thumbnail

Efficient Double Bases for Scalar Multiplication

Nicolas Méloni , M. A. Hasan

IEEE Transactions on Computers, 2015, 64 (8), pp.2204-2212. ⟨10.1109/TC.2014.2360539⟩

Article dans une revue hal-01279418v1

Block Recombination Approach for Subquadratic Space Complexity Binary Field Multiplication based on Toeplitz Matrix-Vector Product

Anwar Hasan , Nicolas Méloni , Ashkan Hosseinzadeh Namin , Christophe Negre

IEEE Transactions on Computers, 2012, 61 (2), pp.151-163. ⟨10.1109/TC.2010.276⟩

Article dans une revue hal-00813698v1

High performance GHASH and impacts of a class of unconventional bases

Nicolas Méloni , Christophe Negre , Anwar Hasan

Journal of Cryptographic Engineering, 2011, 1 (3), pp.201-218. ⟨10.1007/s13389-011-0013-z⟩

Article dans une revue hal-00813634v1
Deposit thumbnail

SPA Resistant Elliptic Curve Cryptosystem Using Addition Chains

Andrew Byrne , Francis Crowe , William P. Marnane , Nicolas Méloni , Arnaud Tisserand et al.

International Journal of High Performance Systems Architecture (IJHPSA), 2007, 1 (2), pp.133-142. ⟨10.1504/IJHPSA.2007.015399⟩

Article dans une revue lirmm-00176433v1
Deposit thumbnail

Comparison of Simple Power Analysis Attack Resistant Algorithms for an Elliptic Curve Cryptosystem

Andrew Byrne , Nicolas Méloni , Arnaud Tisserand , Emanuel Popovici , William P. Marnane

Journal of Computers (JCP), 2007, 2 (10), pp.52-62. ⟨10.4304/jcp.2.10.52-62⟩

Article dans une revue lirmm-00174648v1
Deposit thumbnail

Compact variable-base ECC scalar multiplication using Euclidean addition chains

Fabien Herbaut , Nicolas Méloni , Pascal Véron

18th International Conference on Security and Cryptography (SECRYPT 2021), Jul 2021, Online Event, Italy. pp.531-539, ⟨10.5220/0010551705310539⟩

Communication dans un congrès hal-03210582v1

Utilisation de chaines d'additions euclidiennes pour la multiplication scalaire sur des courbes elliptiques munies d'endomorphismes efficaces.

Fangan-Yssouf Dosso , Fabien Herbaut , Nicolas Méloni , Pascal Véron

Journées Codage et Cryptographie 2017, Apr 2017, La Bresse, France

Communication dans un congrès hal-01824008v1
Deposit thumbnail

Random Digit Representation of Integers

Nicolas Méloni , Anwar Hasan

ARITH 23, Jul 2016, San Francisco, United States

Communication dans un congrès hal-01311485v1
Deposit thumbnail

Full Hardware Implementation of Short Addition Chains Recoding for ECC Scalar Multiplication

Julien Proy , Nicolas Veyrat-Charvillon , Arnaud Tisserand , Nicolas Méloni

Compas: Conférence d’informatique en Parallélisme, Architecture et Système, Jun 2015, Lille, France

Communication dans un congrès hal-01171095v1
Deposit thumbnail

High Performance GHASH Function for Long Messages

Nicolas Méloni , Christophe Negre , Anwar Hasan

ACNS 2010 - 8th International Conference on Applied Cryptography and Network Security, 2010, Beijing, China. pp.154-167, ⟨10.1007/978-3-642-13708-2_10⟩

Communication dans un congrès hal-01279437v1
Deposit thumbnail

Random Euclidean Addition Chain Generation and Its Application to Point Multiplication

Fabien Herbaut , Pierre-Yvan Liardet , Nicolas Méloni , Yannick Teglia , Pascal Véron

INDOCRYPT 2010, Dec 2010, Hyderabad, India. pp.238-261, ⟨10.1007/978-3-642-17401-8_18⟩

Communication dans un congrès hal-00674251v1
Deposit thumbnail

Elliptic Curve Point Scalar Multiplication Combining Yao's Algorithm and Double Bases

Nicolas Méloni , M. A. Hasan

Cryptographic Hardware and Embedded Systems - CHES 2009- 11th international workshop, Sep 2009, Lausanne, Switzerland. pp.304--316, ⟨10.1007/978-3-642-04138-9_22⟩

Communication dans un congrès hal-01279431v1

Chaînes d'addition euclidienne et logarithme discret

Fabien Herbaut , Nicolas Méloni , Pascal Véron

Journées C2, Oct 2009, Fréjus, France

Communication dans un congrès hal-00680306v1
Deposit thumbnail

New Point Addition Formulae for ECC Applications

Nicolas Méloni

WAIFI: Workshop on the Arithmetic of Finite Fields, Jun 2007, Madrid, Spain. pp.189-201, ⟨10.1007/978-3-540-73074-3_15⟩

Communication dans un congrès lirmm-00188957v1
Deposit thumbnail

SPA Resistant Elliptic Curve Cryptosystem using Addition Chains

Andrew Byrne , Nicolas Méloni , Francis Crowe , William P. Marnane , Arnaud Tisserand et al.

ITNG'07: 4th International Conference on Information Technology, Apr 2007, Las Vegas, Nevada, U.S.A., pp.995-1000, ⟨10.1109/ITNG.2007.185⟩

Communication dans un congrès lirmm-00153368v1
Deposit thumbnail

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

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
Deposit thumbnail

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
Deposit thumbnail

New Versions of Miller-loop Secured against Side-Channel Attacks

Nadia El Mrabet , Loubna Ghammam , Nicolas Méloni , Emmanuel Fouotsa

Arithmetic of Finite Fields, 13638, Springer International Publishing, pp.269-287, 2023, Lecture Notes in Computer Science, ⟨10.1007/978-3-031-22944-2_17⟩

Chapitre d'ouvrage hal-03934165v1
Deposit thumbnail

Arithmetic for Cryptography based on Elliptic Curves

Nicolas Méloni

Cryptographie et sécurité [cs.CR]. Université de Montpellier 2, 2007. Français. ⟨NNT : ⟩

Thèse tel-03340148v1