LCD and self-orthogonal twisted group codes over finite commutative chain rings
Rings and Algebras
2025-07-08 v1 Information Theory
math.IT
Abstract
In this paper, we shall study k-Galois LCD constacyclic group codes over finite commutative chain rings with identity. In particular, we shall characterize Galois LCD constacyclic codes over finite commutative chain ring with identity in terms of its idempotent generators and the classical involution using the twisted group ring structures and find some good LCD codes.
Keywords
Cite
@article{arxiv.2507.04013,
title = {LCD and self-orthogonal twisted group codes over finite commutative chain rings},
author = {Samir Assuena and André Luiz Martins Pereira},
journal= {arXiv preprint arXiv:2507.04013},
year = {2025}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2307.13507