Responsabilités et mission

Responsable de l’enjeu technologique Mobilité et Sécurité en 3A
Responsable pédagogique du MS SISA

Activités de recherche

Keywords
Arithmétique, attaques par canaux cachés, complexité algébrique, corps finis et leur représentations, couplages, courbes et variétés algébriques, courbes elliptiques et hyperelliptiques, cryptographie, cryptanalyse, implémentation, système de numération.

Enseignement

Informatique théorique
Langage de programmation
Cryptographie
Cryptanalyse
Arithmétique des ordinateurs
Arithmétique des corps finis et des courbes elliptiques

Publications HAL


51 documents

Articles dans une revue

  • Fangan Yssouf Dosso, Nadia El Mrabet, Nicolas Méloni, François Palma, Pascal Véron. Friendly primes for efficient modular arithmetic using the Polynomial Modular Number System. Journal of Cryptographic Engineering, 2025, 15 (3), pp.18. ⟨10.1007/s13389-025-00382-8⟩. ⟨hal-05317285⟩
  • Laurent-Stéphane Didier, Nadia Mrabet, Léa Glandus, Jean-Marc Robert. Truncated multiplication and batch software SIMD AVX512 implementation for faster Montgomery multiplications and modular exponentiation. IACR Communications in Cryptology, 2024, Communications in Cryptology, 1 (3), pp.11. ⟨10.62056/a3txl86bm⟩. ⟨hal-04742143⟩
  • Asma Chaouch, Laurent-Stéphane Didier, Fangan Yssouf Dosso, Nadia El Mrabet, Belgacem Bouallegue, et al.. Two hardware implementations for modular multiplication in the AMNS: Sequential and semi-parallel. Journal of information security and applications, 2021, 58, pp.102770. ⟨10.1016/j.jisa.2021.102770⟩. ⟨hal-03484204⟩
  • Maamar Ouladj, Nadia El Mrabet, Sylvain Guilley, Philippe Guillot, Gilles Millérioux. On the power of template attacks in highly multivariate context. Journal of Cryptographic Engineering, 2020, 10 (4), pp.337-354. ⟨10.1007/s13389-020-00239-2⟩. ⟨hal-02935162⟩
  • Damien Jauvart, Nadia El Mrabet, Jacques A Fournier, Louis Goubin. Improving side-channel attacks against pairing-based cryptography. Journal of Cryptographic Engineering, 2019, 10, pp.1-16. ⟨10.1007/s13389-018-00201-3⟩. ⟨hal-02068387⟩
  • Sylvain Duquesne, Nadia El Mrabet, Safia Haloui, Franck Rondepierre. Choosing and generating parameters for pairing implementation on {BN} curves. Applicable Algebra in Engineering, Communication and Computing, 2018, 29 (2), pp.113-147. ⟨10.1007/s00200-017-0334-y⟩. ⟨hal-01542564⟩
  • Nadia El Mrabet, Amine Mrabet, Ronan Lashermes, Jean-Baptiste Rigaud, Belgacem Bouallegue, et al.. A scalable and systolic architectures of montgomery modular multiplication for public key cryptosystems based on dsps. Journal Hardware and Systems Security, 2017, 1 (3), pp.219-236. ⟨10.1007/s41635-017-0018-x⟩. ⟨hal-01579811⟩
  • Nadia El Mrabet, Ronan Lashermes, Jacques Jean-Alain Fournier, Louis Goubin. A survey of Fault attacks in Pairing Based Cryptography. Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences , 2015, 7 (1), pp.185--205. ⟨10.1007/s12095-014-0114-5⟩. ⟨hal-01579820⟩
  • Sylvain Duquesne, Nadia El Mrabet, Emmanuel Fouotsa. Efficient computation of pairings on Jacobi quartic elliptic curves. Journal of Mathematical Cryptology, 2014, 8 (4), pp.331-362. ⟨10.1515/jmc-2013-0033⟩. ⟨hal-01095359⟩

Communications dans un congrès

  • Fangan-Yssouf Dosso, Sylvain Duquesne, Nadia El Mrabet, Emma Gautier. PMNS arithmetic for elliptic curve cryptography. 16th International Conference on Cryptology, Africacrypt 2025, Jul 2025, Rabat, Morocco. pp.164-191, ⟨10.1007/978-3-031-97260-7_9⟩. ⟨hal-05061324⟩
  • Laurent-Stéphane Didier, Léa Glandus, Nadia El Mrabet, Jean-Marc Robert. Residue Number System Comparison revisited, a software perspective. 2025 5th International Conference on Electrical, Computer and Energy Technologies (ICECET), Jul 2025, Paris, France. pp.1-6, ⟨10.1109/ICECET63943.2025.11472042⟩. ⟨hal-05607290⟩
  • Laurent-Stéphane Didier, Nadia Mrabet, Léa Glandus, Jean-Marc Robert. Multiplication de Montgomery tronquée et exponentiations modulaires en lot utilisant l'instruction VPMADD52. RAIM 2024, GDR-IFM GT arith; DALI/LIRMM, Nov 2024, Perpignan, France. ⟨hal-04830547⟩
  • Nadia El Mrabet, Loubna Ghammam, Nicolas Méloni, Emmanuel Fouotsa. New Versions of Miller-loop Secured against Side-Channel Attacks. WAIFI: International Workshop on the Arithmetic of Finite Fields, Aug 2022, Chengdu, France. pp.269-287, ⟨10.1007/978-3-031-22944-2_17⟩. ⟨hal-03934165⟩
  • Davide Bellizia, Nadia El Mrabet, Apostolos Fournaris, Simon Pontié, Francesco Regazzoni, et al.. Post-Quantum Cryptography: Challenges and Opportunities for Robust and Secure HW Design. 34th IEEE International Symposium on Defect and Fault Tolerance in VLSI and Nanotechnology Systems, Oct 2021, Athènes, Greece. pp.10.1109/DFT52944.2021.9568301, ⟨10.1109/DFT52944.2021.9568301⟩. ⟨cea-03452245⟩
  • Laurent-Stéphane Didier, Fangan-Yssouf Dosso, Nadia El Mrabet, Jérémy Marrez, Pascal Véron. Randomization of Arithmetic over Polynomial Modular Number System. 26th IEEE International Symposium on Computer Arithmetic, Jun 2019, Kyoto, Japan. pp.199-206, ⟨10.1109/ARITH.2019.00048⟩. ⟨hal-02099713⟩
  • Amine Mrabet, Nadia El Mrabet, Belgacem Bouallegue, Sihem Mesnager, Mohsen Machhout. An efficient and scalable modular inversion/division for public key cryptosystems. 2017 International Conference on Engineering & MIS (ICEMIS), May 2017, Monastir, France. pp.1-6, ⟨10.1109/ICEMIS.2017.8272995⟩. ⟨hal-02066982⟩
  • Philippe Guillot, Gilles Millérioux, Brandon Dravie, Nadia El Mrabet. Spectral approach for correlation power analysis. Second International Conference on Codes, Cryptology and Information Security, C2SI 2017, Apr 2017, Rabbat, Morocco. pp.238-253, ⟨10.1007/978-3-319-55589-8_16⟩. ⟨hal-01652010⟩
  • Meriem Smache, Nadia El Mrabet, Jesus-Javier Gilquijano, Assia Tria, Emmanuel Riou, et al.. Modeling a node capture attack in a secure wireless sensor networks. 2016 IEEE 3rd World Forum on Internet of Things (WF-IoT), Dec 2016, Reston, France. pp.188-193, ⟨10.1109/WF-IoT.2016.7845447⟩. ⟨hal-02066983⟩
  • Ronan Lashermes, Marie Paindavoine, Nadia El Mrabet, Jacques Jean-Alain Fournier, Louis Goubin. Practical validation of several fault attacks against the Miller algorithm. Fault Diagnosis and Tolerance in Cryptography (FDTC), 2014 Workshop on, Sep 2014, Busan, South Korea. ⟨10.1109/FDTC.2014.21⟩. ⟨hal-01100813⟩
  • Nadia El Mrabet. Side Channel Attacks against Pairing over Theta Functions. CAI: Conference on Algebraic Informatics, Sep 2013, Porquerolles, France. pp.132-146, ⟨10.1007/978-3-642-40663-8_14⟩. ⟨hal-01197175⟩
  • Nadia El Mrabet, Nicolas Gama. Efficient Multiplication over Extension Fields. WAIFI 2012, Jul 2012, Ghent, Belgium. ⟨10.1007/978-3-642-31662-3_10⟩. ⟨hal-01197178⟩
  • Nadia El Mrabet, Aurore Guillevic, Sorina Ionica. Efficient multiplication in finite field extensions of degree 5. AFRICACRYPT 2011 - 4th International Conference on Cryptology, Jul 2011, Dakar, Senegal. pp.188-205, ⟨10.1007/978-3-642-21969-6_12⟩. ⟨inria-00609920⟩
  • John Boxall, Nadia El Mrabet, Fabien Laguillaumie, Duc-Phong Le. A Variant of Miller’s Formula and Algorithm. Proceedings of Pairing 2010, Dec 2010, Ishikawa, Japan. pp.417 - 434, ⟨10.1007/978-3-642-17455-1_26⟩. ⟨hal-01083368⟩
  • Nadia El Mrabet. Fault attacks against the Miller algorithm in Edwards Coordinates. 4th International Conference on Information Security and Assurance, ISA 2010, Jun 2010, Miyazaki, Japan. pp.72-85, ⟨10.1007/978-3-642-13365-7_8⟩. ⟨hal-01083374⟩
  • Nadia El Mrabet. What about Vulnerability to a Fault Attack of the Miller Algorithm during an Identity Based Protocol?. ISA'09: The 3rd International Conference on Information and Assurance, Jun 2009, Séoul, South Korea. pp.122-134. ⟨lirmm-00387057⟩
  • Jean-Claude Bajard, Nadia El Mrabet. Pairing in Cryptography: an Arithmetic Point of View. Advanced Signal Processing Algorithms, Architectures, and Implementations XVII, Aug 2007, San Diego, California, United States. ⟨10.1117/12.733789⟩. ⟨lirmm-00181362⟩

Ouvrages (y compris édition critique et traduction)

Chapitres d'ouvrage

  • Lina Mortajine, Othman Benchaalal, Pierre-Louis Cayrel, Nadia El Mrabet, Jérôme Lablanche. Optimized and Secure Implementation of ROLLO-I. Code-Based Cryptography Workshop, pp.117-137, 2020, ⟨10.1007/978-3-030-54074-6_7⟩. ⟨hal-02929835⟩
  • Asma Chaouch, Laurent-Stéphane Didier, Fangan Yssouf Dosso, Nadia El Mrabet, Bouraoui Ouni, et al.. Hardware Optimization on FPGA for the Modular Multiplication in the AMNS Representation. Risks and Security of Internet and Systems, 12026, Springer International Publishing, pp.113-127, 2020, Lecture Notes in Computer Science, ⟨10.1007/978-3-030-41568-6_8⟩. ⟨hal-03484214⟩
  • Damien Jauvart, Nadia El Mrabet, Jacques Fournier, Louis Goubin. Resistance of the Point Randomisation Countermeasure for Pairings Against Side-Channel Attack. Obaidat, M.; Cabello, E. ICETE 2017: E-Business and Telecommunications, Springer, pp.150-172, 2019, ⟨10.1007/978-3-030-11039-0_8⟩. ⟨hal-02066989⟩
  • Amine Mrabet, Nadia El Mrabet, Ronan Lashermes, Jean-Baptiste Rigaud, Belgacem Bouallegue, et al.. High-Performance Elliptic Curve Cryptography by Using the CIOS Method for Modular Multiplication. CRiSIS 2016: Risks and Security of Internet and Systems, pp.185-198, 2017, ⟨10.1007/978-3-319-54876-0_15⟩. ⟨hal-02066985⟩
  • Nadia El Mrabet, Jean-Luc Beuchat, Francisco Rodríguez-Henríquez, Fuentes-Castañeda L.. Mathematical background. Guide to pairing based cryptography, 2017, 9781498729505. ⟨hal-01579664⟩
  • Nadia El Mrabet, Louis Goubin, Jacques Jean-Alain Fournier, Damien Jauvart, Sylvain Guilley, et al.. Physical attacks. Guide to pairing based cryptography, 2017, 9781498729505. ⟨hal-01579785⟩
  • Amine Mrabet, Nadia El Mrabet, Ronan Lashermes, Jean-Baptiste Rigaud, Belgacem Bouallegue, et al.. A Scalable and Systolic Architectures of Montgomery Modular Multiplication for Public Key Cryptosystems Based on DSPs. SPACE 2016: Security, Privacy, and Applied Cryptography Engineering, pp.138-156, 2016, ⟨10.1007/978-3-319-49445-6_8⟩. ⟨hal-02066984⟩
  • Nadia El Mrabet, Jean-Luc Beuchat, Laura Fuentes Castanada, Francisco Rodríguez-Henríquez, Luis-Juan Dominguez-Perez, et al.. Arithmetic of Finite Fields. Nadia El Mrabet; Marc Joye. Guide to pairing based cryptography, Chapman and Hall/CRC, 2016, Chapman & Hall/CRC Cryptography and network Security Series, 9781498729505. ⟨hal-01579661⟩
  • Sylvain Duquesne, Nadia El Mrabet, Safia Haloui, Damien Robert, Franck Rondepierre. Choosing parameters. Nadia El Mrabet; Marc Joye. Guide to pairing based cryptography, CRC Press, 2016, Chapman & Hall/CRC Cryptography and Network Security, 9781498729505. ⟨hal-01579710⟩
  • Dan Page, Frederik Vercauteren, Nadia El Mrabet. Fault Attacks on Pairing-Based Cryptography. Fault Analysis in Cryptography, 2012, ⟨10.1007/978-3-642-29656-7_13⟩. ⟨hal-01197167⟩

Autres publications

Pré-publications, Documents de travail

  • Razvan Barbulescu, Nadia El Mrabet, Loubna Ghammam. A taxonomy of pairings, their security, their complexity. 2020. ⟨hal-02129868v2⟩
  • Nadia El Mrabet, Laurent Poinsot. Pairings from a tensor product point of view. 2013. ⟨hal-00816318v2⟩
  • Nadia El Mrabet. Fault Attack against Miller's algorithm. 2010. ⟨hal-00655465⟩
  • Nadia El Mrabet, Christophe Negre. Finite field multiplication combining AMNS and DFT approach for pairing cryptography. 2009. ⟨hal-00360280⟩

Rapports

  • Nadia El Mrabet, Sorina Ionica. Pairing Computation for Elliptic Curves with Embedding Degree 15. RR-09012, 2009, pp.14. ⟨lirmm-00380549⟩
  • Nadia El Mrabet. What about vulnerability to a fault attack of the Miller algorithm during an Identity Based Protocol ?. RR-08022, 2008. ⟨lirmm-00323685⟩
  • Nadia El Mrabet, Giorgio Di Natale, Marie-Lise Flottes, Bruno Rouzeyre, Jean-Claude Bajard. Differential Power Analysis against the Miller Algorithm. RR-08021, 2008. ⟨lirmm-00323684⟩

Thèses

  • Nadia El Mrabet. Arithmétique des couplages, performance et résistance aux attaques par canaux cachés.. Informatique [cs]. Université Montpellier II - Sciences et Techniques du Languedoc, 2009. Français. ⟨NNT : ⟩. ⟨tel-00450099⟩

Habilitations à diriger des recherches

  • Nadia El Mrabet. Contributions à la cryptographie à base de couplage.. Cryptographie et sécurité [cs.CR]. Université Paris 8 Vincennes – Saint-Denis, 2017. ⟨tel-01716835⟩

Liens externes