47 citations · 99 across the 10 of their papers we have counts for
10 papers
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…
Public key cryptography based on twisted dihedral group algebras
Javier de la Cruz, Ricardo Villanueva-Polanco
In this paper, we propose to use a twisted dihedral group algebra for public-key cryptography. For this, we introduce a new -cocycle to twist the dihedral group algebra. U…
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…
Rank distribution of Delsarte codes
Javier de la Cruz, Elisa Gorla, Hiram H. Lopez +1
In analogy with the Singleton defect for classical codes, we propose a definition of rank defect for Delsarte rank-metric codes. We characterize codes whose rank defect and dual ra…
Algebraic structures of MRD Codes
Javier de la Cruz, Michael Kiermaier, Alfred Wassermann +1
Based on results in finite geometry we prove the existence of MRD codes in (F_q)_(n,n) with minimum distance n which are essentially different from Gabidulin codes. The constructio…
Construction of extremal or optimal codes with an automorphism of order 29
Javier De la Cruz, Ismael Gutierrez, Jorge Robinson
In this paper we construct a new optimal code with parameters [120, 60, 20] of type II with an automorphism of order 29. Furthermore we classify all extremal codes with length 60 o…
On the Automorphism Group of a Binary Self-dual [120, 60, 24] Code
Stefka Bouyuklieva, Javier de la Cruz, Wolfgang Willems
We prove that an automorphism of order 3 of a putative binary self-dual [120, 60, 24] code C has no fixed points. Moreover, the order of the automorphism group of C divides 2^a.3.5…