Christophe Mouaha

Learn More
Let R be a commutative finite chain ring of invariants (q ,s ), and Γ(R) the Teichmüller’s set of R. In this paper, the trace representation cyclic R -linear codes of length l, is presented, when gcd(l,q ) = 1. Wewill show that the contractions of some cyclic R -linear codes of length ul are γ -constacyclic R -linear codes of length l, where γ ∈ Γ(R)\{0R}(More)
GivenS|R a finite Galois extension of finite chain rings andB anS-linear code we define twoGalois operators, the closure operator and the interior operator. We proof that a linear code is Galois invariant if and only if the row standard form of its generator matrix has all entries in the fixed ring by the Galois group and show a Galois correspondence in the(More)
Let R be a commutative finite chain ring of invariants (q ,s ). In this paper, the trace representation of any free cyclic R -linear code of length l, is presented, via the q -cyclotomic cosets modulo l, when gcd(l,q ) = 1. The lattice Cy(R,l);+,∩ of cyclic R -linear codes of length l, is investigated. A lower bound on the Hamming distance of cyclic R(More)