Five Families of Three-Weight Ternary Cyclic Codes and Their Duals
发布时间：2025-03-31
点击次数：
- DOI码：
- 10.1109/TIT.2013.2281205
- 发表刊物：
- IEEE Transactions on Information Theory
- 关键字：
- Generators;Polynomials;Linear code;Educational institutions;Cryptography;Hamming weight;Cyclic codes;frequency hopping sequences;secret sharing;weight distribution;weight enumerator
- 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.
- 合写作者：
- Gao Ying, Zhou Zhengchun
- 第一作者：
- Ding Cunsheng
- 论文类型：
- 期刊论文
- 卷号：
- 59
- 期号：
- 12
- 页面范围：
- 7940-7946
- ISSN号：
- 0018-9448
- 是否译文：
- 否
- 发表时间：
- 2019-09-09
