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A quaternary analogue of Tang-Ding codes

2023/09/21 by Shi, Minjia, Tao, Sihui, Kim, Jon-Lark +1 · 1 citation
#Cryptography and Security (cs.CR) #FOS: Computer and information sciences #Information Theory (cs.IT)

paper · doi:10.48550/arxiv.2309.12003

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 2 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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