On checkable codes in group algebras
Information Theory
2021-02-09 v2 math.IT
Rings and Algebras
Representation Theory
Abstract
We classify, in terms of the structure of the finite group G, all group algebras KG for which all right ideals are right annihilators of principal left ideals. This means in the language of coding theory that we classify code-checkable group algebras KG which have been considered so far only for abelian groups G. Optimality of checkable codes and asymptotic results are discussed.
Cite
@article{arxiv.1901.10979,
title = {On checkable codes in group algebras},
author = {Martino Borello and Javier de la Cruz and Wolfgang Willems},
journal= {arXiv preprint arXiv:1901.10979},
year = {2021}
}
Comments
11 pages - to appear in Journal of Algebra and its Applications