Galois Self-Dual Constacyclic Codes
Information Theory
2015-12-24 v1 math.IT
Rings and Algebras
Abstract
Generalizing Euclidean inner product and Hermitian inner product, we introduce Galois inner products, and study the Galois self-dual constacyclic codes in a very general setting by a uniform method. The conditions for existence of Galois self-dual and isometrically Galois self-dual constacyclic codes are obtained. As consequences, the results on self-dual, iso-dual and Hermitian self-dual constacyclic codes are derived.
Cite
@article{arxiv.1512.07347,
title = {Galois Self-Dual Constacyclic Codes},
author = {Yun Fan and Liang Zgang},
journal= {arXiv preprint arXiv:1512.07347},
year = {2015}
}
Comments
Key words: Constacyclic code, Galois inner product, $q$-coset function, isometry, Galois self-dual code