A class of two or three weights linear codes and their complete weight enumerators
Information Theory
2020-09-11 v2 math.IT
Abstract
In the past few years, linear codes with few weights and their weight analysis have been widely studied. In this paper, we further investigate a class of two-weight or three-weight linear codes from defining sets and determine their weight and complete weight enumerators by application of the theory of quadratic forms and some special Weil sums over finite fields. Some punctured codes of the discussed linear codes are optimal or almost optimal with respect to the Griesmer bound. This paper generalizes some results in \cite{ZhuXu2017,Jian2019}.
Cite
@article{arxiv.1911.03879,
title = {A class of two or three weights linear codes and their complete weight enumerators},
author = {Dabin Zheng and Qing Zhao and Xiaoqiang Wang and Yan Zhang},
journal= {arXiv preprint arXiv:1911.03879},
year = {2020}
}