Some three-weight linear codes and their complete weight enumerators and weight hierarchies
Information Theory
2024-10-04 v1 math.IT
Number Theory
Abstract
Linear codes with a few weights can be applied to secrete sharing, authentication codes, association schemes and strongly regular graphs. For an odd prime power , we construct a class of three-weight -linear codes from quadratic functions via a bivariate construction and then determine the complete weight enumerators and weight hierarchies of these linear codes completely. This paper generalizes some results in Li et al. (2022) and Hu et al. (2024).
Keywords
Cite
@article{arxiv.2410.02209,
title = {Some three-weight linear codes and their complete weight enumerators and weight hierarchies},
author = {Xiumei Li and Zongxi Chen and Fei Li},
journal= {arXiv preprint arXiv:2410.02209},
year = {2024}
}
Comments
28