Five families of three-weight ternary cyclic codes and their duals

Cunsheng Ding; Ying Gao; Zhengchun Zhou

doi:10.1109/TIT.2013.2281205

Five families of three-weight ternary cyclic codes and their duals

Cunsheng Ding
, Ying Gao
, Zhengchun Zhou

网络空间安全学院

Hong Kong University of Science and Technology
Southwest Jiaotong University

科研成果: 期刊稿件 › 文章 › 同行评审

26 引用（Scopus）

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.

源语言	英语
文章编号	6594807
页（从-至）	7940-7946
页数	7
期刊	IEEE Transactions on Information Theory
卷	59
期	12
DOI	https://doi.org/10.1109/TIT.2013.2281205
出版状态	已出版 - 12月 2013

访问文件

10.1109/TIT.2013.2281205

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{62993ecc77694626adb537a664cb2365,

title = "Five families of three-weight ternary cyclic codes and their duals",

abstract = "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.",

keywords = "Cyclic codes, frequency hopping sequences, secret sharing, weight distribution, weight enumerator",

author = "Cunsheng Ding and Ying Gao and Zhengchun Zhou",

year = "2013",

month = dec,

doi = "10.1109/TIT.2013.2281205",

language = "英语",

volume = "59",

pages = "7940--7946",

journal = "IEEE Transactions on Information Theory",

issn = "0018-9448",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "12",

}

TY - JOUR

T1 - Five families of three-weight ternary cyclic codes and their duals

AU - Ding, Cunsheng

AU - Gao, Ying

AU - Zhou, Zhengchun

PY - 2013/12

Y1 - 2013/12

N2 - 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.

AB - 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.

KW - Cyclic codes

KW - frequency hopping sequences

KW - secret sharing

KW - weight distribution

KW - weight enumerator

UR - https://www.scopus.com/pages/publications/84889566103

U2 - 10.1109/TIT.2013.2281205

DO - 10.1109/TIT.2013.2281205

M3 - 文章

AN - SCOPUS:84889566103

SN - 0018-9448

VL - 59

SP - 7940

EP - 7946

JO - IEEE Transactions on Information Theory

JF - IEEE Transactions on Information Theory

IS - 12

M1 - 6594807

ER -

Five families of three-weight ternary cyclic codes and their duals

摘要

访问文件

其它文件与链接

指纹

引用此