Constructions of Abelian Codes multiplying dimension of cyclic codes
Information Theory
2024-02-08 v1 math.IT
Abstract
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 preserving their apparent distance. We show that, in the case of cyclic codes whose maximum BCH bound equals its minimum distance the obtained abelian code verifies the same property; that is, the strong apparent distance and the minimum distance coincide. We finally use this construction to multiply Reed-Solomon codes to abelian codes
Cite
@article{arxiv.2402.04295,
title = {Constructions of Abelian Codes multiplying dimension of cyclic codes},
author = {José Joaquín Bernal and Diana H. Bueno-Carreño and Juan Jacobo Simón},
journal= {arXiv preprint arXiv:2402.04295},
year = {2024}
}
Comments
arXiv admin note: text overlap with arXiv:2402.03938