Combinatorial Constructions of Optimal Quaternary Additive Codes
Information Theory
2024-11-12 v2 math.IT
Abstract
This paper aims to construct optimal quaternary additive codes with non-integer dimensions. Firstly, we propose combinatorial constructions of quaternary additive constant-weight codes, alongside additive generalized anticode construction. Subsequently, we propose generalized Construction X, which facilitates the construction of non-integer dimensional optimal additive codes from linear codes. Then, we construct ten classes of optimal quaternary non-integer dimensional additive codes through these two methods. As an application, we also determine the optimal additive codes for all with variable , except for .
Keywords
Cite
@article{arxiv.2407.04193,
title = {Combinatorial Constructions of Optimal Quaternary Additive Codes},
author = {Chaofeng Guan and Jingjie Lv and Gaojun Luo and Zhi Ma},
journal= {arXiv preprint arXiv:2407.04193},
year = {2024}
}