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A quaternary analogue of Tang-Ding codes (2309.12003v1)
Published 21 Sep 2023 in cs.IT, cs.CR, and math.IT
Abstract: In a 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.