Several classes of three-weight or four-weight linear codes
Information Theory
2025-11-04 v1 math.IT
Abstract
In this manuscript, we construct a class of projective three-weight linear codes and two classes of projective four-weight linear codes over F2 from the defining sets construction, and determine their weight distributions by using additive characters. Especially, the projective three-weight linear code and one class of projective four-weight linear codes (Theorem 4.1) can be applied in secret sharing schemes.
Keywords
Cite
@article{arxiv.2511.01309,
title = {Several classes of three-weight or four-weight linear codes},
author = {Qunying Liao and Zhaohui Zhang and Peipei Zheng},
journal= {arXiv preprint arXiv:2511.01309},
year = {2025}
}
Comments
15pages