On checkable codes in group algebras-Reference-Cited by-同舟云学术

On checkable codes in group algebras

Published:2021-03-26 Issue: Volume: Page:2250125
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Borello Martino¹,De La Cruz Javier²,Willems Wolfgang²³

Affiliation:

1. Université Paris 8, Laboratoire de Géométrie, Analyse et Applications, LAGA, Université Sorbonne Paris Nord, CNRS, UMR 7539, F-93430, Villetaneuse, France

2. Universidad del Norte, Barranquilla, Colombia

3. Otto-von-Guericke Universität, Magdeburg, Germany

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498822501250

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