Preprint

1. Algorithmic aspects of elliptic bases in finite field discrete logarithm algorithms.
   with Antoine Joux
   Submitted
   
   

Record computation

• Discovery of a discrete logarithm in GF(p^6) with Tower NFS.
  with Gabrielle De Micheli and Pierrick Gaudry
  February 2021 [Verification script]

Publications

1. Lattice Enumeration for Tower NFS: a 521-bit Discrete Logarithm Computation.
   with Gabrielle de Micheli and Pierrick Gaudry
   Asiacrypt 2021, Best Paper
   
   
2. Asymptotic complexities of discrete logarithm algorithms in pairing-relevant finite fields.
   with Gabrielle De Micheli and Pierrick Gaudry
   Crypto 2020
   
   
3. A Tale of Three Signatures: practical attack of ECDSA with wNAF.
   with Gabrielle De Micheli and Rémi Piau
   Africacrypt 2020
   
   
4. Polynomial Time Bounded Distance Decoding near Minkowski’s Bound in Discrete Logarithm Lattices
   with Léo Ducas
   Design, Code and Cryptography (DCC), 2018
   This is a post-peer-review, pre-copyedit version of an article published in Design, Code and Cryptography. The final authenticated version is available online at: http://dx.doi.org/10.1007/s10623-018-0573-3
   
   
5. Malleability of the Blockchain's Entropy
   with Benjamin Wesolowski
   Cryptography and Communications (CCDS), Springer, 2017
   Presented at ArcticCrypt Conference 2016
   
   
6. Nearly Sparse Linear Algebra, and Applications to Discrete Logarithms Computations
   with Antoine Joux
   Review Volume « Contemporary Developments in Finite Fields and Applications »
   2016 copyright World Scientific Publishing Company
   
   
7. Technical history of discrete logarithms in small characteristic finite fields. The road from subexponential to quasi-polynomial complexity.
   with Antoine Joux
   Journal of Designs, Codes and Cryptography, 2016
   
   
8. The Multiple Number Field Sieve with Conjugation and Generalized Joux-Lercier Methods
   Eurocrypt 2015
   
   
9. Improving the Polynomial time Precomputation of Frobenius Representation Discrete Logarithm Algorithms, Simplified Setting for Small Characteristic Finite Fields
   with Antoine Joux
   Asiacrypt 2014
   
   
10. The Multiple Number Field Sieve for Medium and High Characteristic Finite Fields
    with Razvan Barbulescu
    LMS Journal of Computation and Mathematics
    Presented at ANTS XI, 2014, South Korea
    
    
11. The Past, evolving Present and Future of Discrete Logarithm
    with Antoine Joux and Andrew Odlyzko
    Open Problems in Mathematical and Computational Science Book, Springer, 2014
    I aknowledge the ePublisher Springer to let me self-archive my chapter. The full book can be downloaded on Springer's website.
    
    
12. The Special Number Field Sieve in Finite Fields, Application to Pairing-Friendly Constructions
    with Antoine Joux
    Pairing 2013
    
    

Reports and manuscripts (in French)

1. Le problème du logarithme discret dans les corps finis.
   PhD Thesis, defended on Nov. 25th, 2016, in UPMC, Sorbonne-Universités, Paris 6. I still have some printed manuscripts, tell me if you would like to have one.
   
   
2. Calculs de logarithmes discret dans les corps finis par cribles spécial de corps de nombres, Application aux courbes elliptiques bien couplées.
   Mémoire de Master 2 : Algèbre Appliquée à la Cryptographie et au Calcul Formel, Université de Versailles, Septembre 2013