首页|Three Classes of Optimal Ternary Cyclic Codes and the Weight Distributions of Their Duals

Three Classes of Optimal Ternary Cyclic Codes and the Weight Distributions of Their Duals

扫码查看
原文链接
  • NETL
  • NSTL
  • 万方数据
  • 维普
Cyclic codes as a subclass of linear codes have wide applications in communication systems, consumer electronics and data storage systems, due to their efficient encoding and decoding algorithms. We construct three classes of optimal ternary cyclic codes, which meet some certain bound. The weight distributions of their duals are also completely determined. The results show that their duals have few nonzero weights.

Finite fieldCyclic codeOptimal codeDualsWeight distribution

LI Lanqiang、ZHU Shixin、LIU Li

展开 >

School of Mathematics, Hefei University of Technology, Hefei 230009, China

This work is supported by the National Natural Science Foundation of ChinaThis work is supported by the National Natural Science Foundation of ChinaNatural Science Foundation of Anhui ProvinceKey University Science Research Project of Anhui Province

61772168118711871808085MA15KJ2018A0497

2019

10.1049/cje.2019.04.001

中国电子杂志(英文版)

中国电子杂志(英文版)

CSTPCDCSCDSCIEI
ISSN：1022-4653
年,卷(期)：2019.28(4)
  • 28