A quaternary analogue of Tang-Ding codes
Minjia Shi, Sihui Tao, Jon-Lark Kim, Patrick Sole
TL;DR
This paper introduces a quaternary analogue of Tang-Ding codes, exploring their properties and analyzing related binary cyclic subfield subcodes and trace codes to enhance understanding of their performance.
Contribution
It proposes a new quaternary code construction inspired by Tang-Ding codes and investigates the performance of associated binary subfield and trace codes.
Findings
Quaternary analogue of Tang-Ding codes constructed
Performance analysis of subfield subcodes conducted
Trace code performance evaluated
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.
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Taxonomy
TopicsCoding theory and cryptography · Error Correcting Code Techniques · Advanced Wireless Communication Techniques