One-Lee weight and two-Lee weight $\mathbb{Z}_2\mathbb{Z}_2[u]$-additive codes
Rings and Algebras
2018-02-05 v3 Information Theory
math.IT
Abstract
In this paper, we study one-Lee weight and two-Lee weight codes over , where . Some properties of one-Lee weight -additive codes are given, and a complete classification of one-Lee weight -additive formally self-dual codes is obtained. The structure of two-Lee weight projective codes is determined. Some optimal binary linear codes are obtained directly from one-Lee weight and two-Lee weight -additive codes via the extended Gray map.
Keywords
Cite
@article{arxiv.1609.09588,
title = {One-Lee weight and two-Lee weight $\mathbb{Z}_2\mathbb{Z}_2[u]$-additive codes},
author = {Zhenliang Lu and Liqi Wang and Shixin Zhu and Xiaoshan Kai},
journal= {arXiv preprint arXiv:1609.09588},
year = {2018}
}