Several Families of Ternary Negacyclic Codes and Their Duals

被引：3
作者：
Sun, Zhonghua [1 ]
Ding, Cunsheng [2 ]
机构：
[1] Hefei Univ Technol, Sch Math, Hefei 230601, Anhui, Peoples R China
[2] Hong Kong Univ Sci & Technol, Dept Comp Sci & Engn, Hong Kong, Peoples R China
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 2024年 / 70卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Codes; Linear codes; Generators; Sun; Mathematics; Codecs; Measurement uncertainty; Cyclic code; negacyclic code; linear code; WEIGHT DISTRIBUTIONS; HAMMING WEIGHTS; MDS CODES; DISTANCE;
D O I：
10.1109/TIT.2024.3349996
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Constacyclic codes contain cyclic codes as a subclass and have nice algebraic structures. Constacyclic codes have theoretical importance, as they are connected to a number of areas of mathematics and outperform cyclic codes in several aspects. Negacyclic codes are a subclass of constacyclic codes and are distance-optimal in many cases. However, compared with the extensive study of cyclic codes, negacyclic codes are much less studied. In this paper, several families of ternary negacyclic codes and their duals are constructed and analysed. These families of negacyclic codes and their duals contain distance-optimal codes and have very good parameters in general. The duals of three families of ternary negacyclic codes presented in this paper are distance-optimal.
引用
收藏
页码：3226 / 3241
页数：16
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