On generalized quasi-cyclic codes over $\mathbb{Z}_4$
Rings and Algebras
2022-03-24 v1 Information Theory
math.IT
Abstract
Based on good algebraic structures and practicabilities, generalized quasi-cyclic (GQC) codes play important role in coding theory. In this paper, we study some results on GQC codes over including the normalized generating set, the minimum generating set and the normalized generating set of their dual codes. As an application, new -linear codes and good nonlinear binary codes are constructed from GQC codes over .
Keywords
Cite
@article{arxiv.2203.12149,
title = {On generalized quasi-cyclic codes over $\mathbb{Z}_4$},
author = {Jian Gao and Xiangrui Meng and Fang-Wei Fu},
journal= {arXiv preprint arXiv:2203.12149},
year = {2022}
}