Page Web of Martino Borello

Martino Borello

Maître de conférences

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 02/11/2020).

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.

Teaching : Teaching page

Preprints :

Three combinatorial perspectives on minimal codes (with G.N. Alfarano, A. Neri, and A. Ravagnani), submitted
The uncertainty principle over finite fields (with P. Solé), submitted
On the algebraic structure of quasi group codes (with W. Willems), submitted
On checkable codes in group algebras (with J. de la Cruz and W. Willems), submitted
The concatenated structure of quasi-abelian codes (with C. Güneri, E. Saçikara, and P. Solé), submitted

Publications (in reverse chronological order) :

Dihedral codes with prescribed minimum distance (with A. Jamous), to appear in Lecture Notes in Computer Science
Group codes over fields are asymptotically good (with W. Willems), Finite Fields and Their Applications 68: 101738 (2020)
A geometric characterization of minimal codes and their asymptotic performance (with G. N. Alfarano, and A. Neri), to appear in Advances in Mathematics of Communications
The Möbius function of PSL(3,2^p) for any prime p (with F. dalla Volta, and G. Zini), to appear in International Journal of Algebra and Computation
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 :

Automorphism groups of self-dual binary linear codes with a particular regard to the extremal case of length 72 (PhD Thesis)
Gauss class number problem: solution through the theory of L-function associated to elliptic curves (Msc Thesis - in Italian)
Algebraic integers in complex quadratic fields (Bsc Thesis - in Italian)
Medaglie Fields 2014 - Storie di matematici esemplari (Informative paper)
On the stabilizer of weight enumerators of linear codes (with O.Mila)

Seminar organized :

Séminaire Mathématiques Discrètes, Codes et Cryptographie

Useful links :