A class of LCD BCH codes of length $n=\frac{q^{m}+1}{\lambda}$
Information Theory
2023-06-06 v2 math.IT
Abstract
LCD BCH codes are an important class of cyclic codes which have efficient encoding and decoding algorithms, but their parameters are difficult to determine. The objective of this paper is to study the LCD BCH codes of length , where is an integer. Several types of LCD BCH codes with good parameters are presented, and many optimal linear codes are settled. Moreover, we present the first few largest coset leaders modulo , and partially solve two conjectures about BCH codes.
Keywords
Cite
@article{arxiv.2305.11677,
title = {A class of LCD BCH codes of length $n=\frac{q^{m}+1}{\lambda}$},
author = {Yanhui Zhang},
journal= {arXiv preprint arXiv:2305.11677},
year = {2023}
}