2 citations · 3 across the 6 of their papers we have counts for
5 papers · 1 filter
On LCP codes over a mixed ring alphabet
Maryam Bajalan, Javier de la Cruz, Alexandre Fotue-Tabue +1
In this paper, we introduce a standard generator matrix for mixed-alphabet linear codes over finite chain rings. Furthermore, we show that, when one has a linear complementary pair…
On LCP and checkable group codes over finite non-commutative Frobenius rings
Sanjit Bhowmick, Javier de la Cruz, Edgar Martínez-Moro +1
We provide a simple proof for a complementary pair of group codes over a finite non-commutative Frobenius ring of the fact that one of them is equivalent to the other one. We also…
Abelian and consta-Abelian polyadic codes over affine algebras with a finite commutative chain coefficient ring
Gülsüm Gözde Yılmazgüç, Javier de la Cruz, Edgar Martínez-Moro
In this paper, we define Abelian and consta-Abelian polyadic codes over rings defined as affine algebras over chain rings. For that aim, we use the classical construction via split…
Twisted skew -codes
Angelot Behajaina, Martino Borello, Javier de la Cruz +1
In this paper we investigate left ideals as codes in twisted skew group rings. The considered rings, which are often algebras over a finite field, allows us to detect many of the w…
On dually almost MRD codes
Javier de la Cruz
In this paper we define and study a family of codes which come close to be MRD codes, so we call them AMRD codes (almost MRD). An AMRD code is a code with rank defect equal to 1. A…