Dual skew codes from annihilators: Transpose Hamming ring extensions
Information Theory
2018-03-02 v1 math.IT
Rings and Algebras
Abstract
In this paper a framework to study the dual of skew cyclic codes is proposed. The transposed Hamming ring extensions are based in the existence of an anti-isomorphism of algebras between skew polynomial rings. Our construction is applied to left ideal convolutional codes, skew constacyclic codes and skew Reed-Solomon code, showing that the dual of these codes belong to the same class.
Keywords
Cite
@article{arxiv.1803.00239,
title = {Dual skew codes from annihilators: Transpose Hamming ring extensions},
author = {José Gómez-Torrecillas and F. J. Lobillo and Gabriel Navarro},
journal= {arXiv preprint arXiv:1803.00239},
year = {2018}
}