Multivariable codes in principal ideal polynomial quotient rings with applications to additive modular bivariate codes over $\mathbb{F}_4$
Information Theory
2017-09-19 v1 math.IT
Abstract
In this work, we study the structure of multivariable modular codes over finite chain rings when the ambient space is a principal ideal ring. We also provide some applications to additive modular codes over the finite field .
Keywords
Cite
@article{arxiv.1709.05466,
title = {Multivariable codes in principal ideal polynomial quotient rings with applications to additive modular bivariate codes over $\mathbb{F}_4$},
author = {E. Martínez-Moro and A. Piñera-Nicolás and I. F. Rúa},
journal= {arXiv preprint arXiv:1709.05466},
year = {2017}
}
Comments
Submitted to the Journal of Pure and Applied Algebra