A quaternary analogue of Tang-Ding codes
Information Theory
2023-09-22 v1 Cryptography and Security
math.IT
Abstract
In a recent paper, Tang and Ding introduced a class of binary cyclic codes of rate close to one half with a designed lower bound on their minimum distance. The definition involves the base expansion of the integers in their defining set. In this paper we propose an analogue for quaternary codes. In addition, the performances of the subfield subcode and of the trace code (two binary cyclic codes) are investigated.
Keywords
Cite
@article{arxiv.2309.12003,
title = {A quaternary analogue of Tang-Ding codes},
author = {Minjia Shi and Sihui Tao and Jon-Lark Kim and Patrick Sole},
journal= {arXiv preprint arXiv:2309.12003},
year = {2023}
}