A class of three-weight cyclic codes
A class of three-weight cyclic codes
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DOI：
10.1016/j.ffa.2013.08.005
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发表时间：
2013-02
期刊：
影响因子：
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通讯作者：
Zhengchun Zhou;C. Ding
中科院分区：
文献类型：
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作者：
Zhengchun Zhou;C. Ding
循环码是线性码的子类，因其具有高效的编码和解码算法而在消费电子、数据存储系统和通信系统中得到应用。本文提出了 F p 上的一类对偶有两个零的三权循环码，其中 p 是奇素数。此类循环码的权值分配是确定的。一些循环码是最优的。还研究了循环码子类的对偶并证明是最优的。
Cyclic codes are a subclass of linear codes and have applications in consumer electronics, data storage systems, and communication systems as they have efficient encoding and decoding algorithms. In this paper, a class of three-weight cyclic codes over F p whose duals have two zeros is presented, where p is an odd prime. The weight distribution of this class of cyclic codes is settled. Some of the cyclic codes are optimal. The duals of a subclass of the cyclic codes are also studied and proved to be optimal.