Martino Borello
Maître de conférences
Université Paris 8, LAGA
Équipe AGAA
Institut Galilée
99 Avenue Jean Baptiste Clément
93430 Villetaneuse
France
E-mail: nom @math.univ-paris13.fr, prénom.nom @univ-paris8.fr
Office: D316 (Paris 13), A141 (Paris 8)
Detailed cv.
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.
Publications :
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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)
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Automorphisms of order 2p in binary self-dual extremal codes of length a multiple of 24 (with W. Willems), IEEE Trans. Inform. Theory 59 (6): 3378-3383 (2013)
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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)
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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)
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On the automorphism groups of binary linear codes, Topics in Finite
Fields, Contemporary Mathematics 632 (2015)
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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)
- Inhomogeneous minima of mixed signature lattices (with E. Bayer-Fluckiger and P. Jossen), Journal of Number Theory 167: 88-103 (2016)
- 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)
- Symmetries of weight enumerators and applications to Reed-Muller codes (with O. Mila), Advances in Mathematics of Communications 13 (2): 313-328
(2019)
- The concatenated structure of quasi-abelian codes (with C. Güneri, E. Saçikara and P. Solé), preprint
- On checkable codes in group algebras (with J. de la Cruz and W. Willems), preprint
- The Möbius function of PSL(3,2^p) for any prime p (with F. dalla Volta and G. Zini), preprint
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