3 papers
cs.IT2019
Matrix-Product Codes over Commutative Rings and Constructions Arising from -Codes
Mhammed Boulagouaz, Abdulaziz Deajim
A well-known lower bound (over finite fields and some special finite commutative rings) on the Hamming distance of a matrix-product code (MPC) is shown to remain valid over any com…
math.NT2019
A Dedekind's Criterion over Valued Fields
Lhoussain El Fadil, Mhammed Boulagouaz, Abdulaziz Deajim
Let be an arbitrary-rank valued field, its valuation ring, a separable finite field extension generated over by a root of a monic irreducible polynomial…
math.RA2013
(Sigma-Delta) Codes
M. Boulagouaz, A. Leroy
In this paper we introduce the notion of cyclic ()-codes for $f(t)\in \Ore$. These codes generalize the -codes as introduced by D. Boucher, F. Ulmer, W. Geiselmann \ci…