Martino Borello
Maître de conférences
Université Paris 8, LAGA
Département de Mathématiques
2 rue de la Liberté
93526 Saint-Denis cedex
France
E-mail: surname @math.univ-paris13.fr (research), name.surname @univ-paris8.fr (teaching)
Office: D316 (Paris 13), A141-MR111 (Paris 8)
Detailed cv (updated on 22/05/2020).
Short cv.
Discrete structures, like linear codes or lattices, actions of
groups, as the symmetric groups on codes or group of matrices on
families of lattices, and applications to Number Theory, Geometry and
Information Theory. These are the key words of my research up
to now, my expertise and my taste.
Preprints :
Publications (in reverse chronological order) :
- A note on linear complementary pairs of group codes (with J. de la Cruz and W. Willems), Discrete Mathematics 343(8): 111905 (2020)
- Asymptotic performance of metacyclic codes (with P. Moree and P. Solé), Discrete Mathematics 343(7): 111885 (2020)
- Minimal linear codes arising from blocking sets (with M. Bonini), Journal of Algebraic Combinatorics (2020)
- Symmetries of weight enumerators and applications to Reed-Muller codes (with O. Mila), Advances in Mathematics of Communications 13 (2): 313-328
(2019)
- Some new results on the the self-dual [120,60,24] code (with J. de la Cruz), Finite Fields and Their Applications 50: 17-34 (2018)
- Inhomogeneous minima of mixed signature lattices (with E. Bayer-Fluckiger and P. Jossen), Journal of Number Theory 167: 88-103 (2016)
- On involutions in extremal self-dual codes and the dual distance of semi self-dual codes (with G. Nebe), Finite Fields and Their Applications 33:
80-89 (2015)
- On the automorphism groups of binary linear codes, Topics in Finite
Fields, Contemporary Mathematics 632 (2015)
- The automorphism group of a self-dual [72,36,16] code is not an elementary abelian group of order 8, Finite Fields and Their Applications 25: 1-7 (2014)
- The automorphism group of a self-dual [72,36,16] code does not contain S_3, A_4 or D_8 (with F. Dalla Volta and G. Nebe), Advances in Mathematics of Communications 7 (4): 503-510 (2013)
- Automorphisms of order 2p in binary self-dual extremal codes of length a multiple of 24 (with W. Willems), IEEE Transactions on Information Theory 59 (6): 3378-3383 (2013)
- The automorphism group of a self-dual [72,36,16] code does not contain elements of order 6, IEEE Transactions on Information Theory 58 (12): 7240-7245 (2012)
Other texts :
Seminar organized :
Courses :
Some supervised projects:
-
Inverse Galois problem : Intersective polynomials
Semester Project - M1 - of Alessandro Slamitz (Automn 2014)
-
Invariance for weight enumerators of evaluation codes and counting Fq-rational points on hypersurfaces
Master Project - M2 - of Olivier Mila (Spring 2015)
-
On the ideal class group of a number field
Semester Project - L3 - of Filip Fifka (Automn 2015)
-
Sur les groupes simples
Semester Project - L3 - of Quentin Levêque (Spring 2016)
-
Les codes en métrique rang
Semester Project - M1 - of Omar Dianka (Spring 2018)
-
Les bornes des codes correcteurs
Semester Project - M1 - of Sarah Grib and Hassen Tazaïrt (Spring 2019)
-
Side channel attack sur un cryptosysteme post quantique
Master Project - M2 - of Yulliwas Ameur (Spring 2019)
Useful links :
