Five Families of Three-Weight Ternary Cyclic Codes and Their Duals

被引：24

作者：

Ding, Cunsheng ^{[1
]}

Gao, Ying ^{[2
]}

Zhou, Zhengchun ^{[3
]}

机构：

[1] Hong Kong Univ Sci & Technol, Dept Comp Sci & Engn, Kowloon, Hong Kong, Peoples R China

[2] Beihang Univ, Sch Math & Syst Sci, Beijing, Peoples R China

[3] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2013年 / 59卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Cyclic codes; frequency hopping sequences; secret sharing; weight distribution; weight enumerator; FREQUENCY-HOPPING SEQUENCES; WEIGHT DISTRIBUTIONS; LINEAR CODES; SUMS; SETS;

D O I：

10.1109/TIT.2013.2281205

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

As a subclass of linear codes, cyclic codes have applications in consumer electronics, data storage systems, and communication systems as they have efficient encoding and decoding algorithms. In this paper, five families of three-weight ternary cyclic codes whose duals have two zeros are presented. The weight distributions of the five families of cyclic codes are settled. The duals of two families of the cyclic codes are optimal.

引用

页码：7940 / 7946

页数：7

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