(1 + uv)-cyclic codes over F2 + uF2 + vF2 + uvF2

被引：0

作者：

Yu, Hai-Feng ^{[1
]}

Zhu, Shi-Xin ^{[2
]}

Zhang, Xia ^{[1
]}

机构：

[1] Department of Mathematics and Physics, Hefei University, Hefei 230601, China

[2] School of Mathematics, Hefei University of Technology, Hefei 230009, China

来源：

Dianzi Yu Xinxi Xuebao/Journal of Electronics and Information Technology | 2014年 / 36卷 / 06期

关键词：

Block codes;

D O I：

10.3724/SP.J.1146.2013.01339

中图分类号：

学科分类号：

摘要：

(1 + uv)-cyclic codes over F2 + uF2 + vF2 + uvF2 is defined, and the relations between (1 + uv)-cyclic codes and cyclic codes is discussed. It is proved that the binary image on isometric Gray map φhom of a (1 + uv)-cyclic code of length n over R is a linear quasi-cyclic code of index 4 and of length 8n. Furthermore, some optimal binary linear quasi-cyclic codes are obtained.

引用

页码：1419 / 1422

共 50 条

[21] Constacyclic and cyclic codes over F2 + uF2 + u2F2
Qian, Jian-Fa
Zhang, Li-Na
Zhu, Shi-Xin
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2006, E89A (06) : 1863 - 1865
[22] A family of constacyclic codes over F 2 + uF 2 + vF 2 + uvF 2
Kai, Xiaoshan
Zhu, Shixin
Wang, Liqi
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2012, 25 (05) : 1032 - 1040
[23] A FAMILY OF CONSTACYCLIC CODES OVER F2+μF2+ vF2+ uvF2
Xiaoshan KAI
Shixin ZHU
Liqi WANG
Journal of Systems Science & Complexity, 2012, 25 (05) : 1032 - 1040
[24] One generator quasi-cyclic codes over F2 + uF2
Siap, Irfan
Abualrub, Taher
Yildiz, Bahattin
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2012, 349 (01): : 284 - 292
[25] CYCLIC CODES AND THE WEIGHT ENUMERATOR OF LINEAR CODES OVER F2 + vF2 v2F2
Shi, Min Jia
Sole, Patrick
Wu, Bo
APPLIED AND COMPUTATIONAL MATHEMATICS, 2013, 12 (02) : 247 - 255
[26] A Note on Constacyclic and Quasi-cyclic Codes over F2+uF2+vF2+uvF2
Srinivasulu, B.
Bandi, Rama Krishna
Bhaintwal, Maheshanand
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2019, 42 (06) : 3453 - 3474
[27] Linear codes over F2 x (F2 + vF2) and the MacWilliams identities
Caliskan, Fatma
Aksoy, Refia
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2020, 31 (02) : 135 - 147
[28] Self-dual codes over F2 x (F2 + vF2)
Aksoy, Refia
Caliskan, Fatma
CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2021, 13 (01): : 129 - 141
[29] Macwilliams identities of linear codes over the ring F 2 + uF 2 + vF2
Liu Xiusheng
Liu Hualu
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2015, 28 (03) : 691 - 701
[30] CONSTRUCTION OF SELF-DUAL CODES OVER F2 + uF2
Han, Sungyu
Lee, Heisook
Lee, Yoonjin
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2012, 49 (01) : 135 - 143

← 1 2 3 4 5 →