On Linear Codes over $\mathbb{Z}_4+v\mathbb{Z}_4$
Information Theory
2015-01-05 v2 math.IT
Abstract
Linear codes are considered over the ring , where . Gray weight, Gray maps for linear codes are defined and MacWilliams identity for the Gray weight enumerator is given. Self-dual codes, construction of Euclidean isodual codes, unimodular complex lattices, MDS codes and MGDS codes over are studied. Cyclic codes and quadratic residue codes are also considered. Finally, some examples for illustrating the main work are given.
Keywords
Cite
@article{arxiv.1402.6771,
title = {On Linear Codes over $\mathbb{Z}_4+v\mathbb{Z}_4$},
author = {Jian Gao and Yun Gao and Fang-Wei Fu},
journal= {arXiv preprint arXiv:1402.6771},
year = {2015}
}
Comments
25 pages