4 papers · 1 filter
Constructions of Abelian Codes multiplying dimension of cyclic codes
José Joaquín Bernal, Diana H. Bueno-Carreño, Juan Jacobo Simón
In this note, we apply some techniques developed in [1]-[3] to give a particular construction of bivariate Abelian Codes from cyclic codes, multiplying their dimension and preservi…
Cyclic and BCH Codes whose Minimum Distance Equals their Maximum BCH bound
José Joaquín Bernal, Diana H. Bueno-Carreño, Juan Jacobo Simón
In this paper we study the family of cyclic codes such that its minimum distance reaches the maximum of its BCH bounds. We also show a way to construct cyclic codes with that prope…
Apparent Distance and a Notion of BCH Multivariate Codes
José Joaquín Bernal, Diana H. Bueno-Carreño, Juan Jacobo Simón
This paper is devoted to studying two main problems: 1) computing the apparent distance of an Abelian code and 2) giving a notion of Bose, Ray-Chaudhuri, Hocquenghem (BCH) multivar…
An intrinsical description of group codes
José Joaquín Bernal, Ángel del Río, Juan Jacobo Simón
A (left) group code of length n is a linear code which is the image of a (left) ideal of a group algebra via an isomorphism from FG to Fn which maps G to the standard basis of Fn.…