On cyclic reversible self-dual additive codes with odd length over Ζ22

被引：2

作者：

Ran, M ^{[1
]}

Snyders, J

机构：

[1] TelesciCOM Ltd, IL-58810 Holon, Israel

[2] Tel Aviv Univ, Dept Elect Engn Syst, IL-69978 Ramat Aviv, Israel

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2000年 / 46卷 / 03期

关键词：

additive code; cyclic code; group code; pentacode; reversible code; self-dual code;

D O I：

10.1109/18.841185

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Several additive codes of odd length over Z(2)(2) are introduced. These codes are cyclic and reversible. Furthermore, they are self-dual under an appropriately selected binary-valued inner product. Some binary derivatives of these codes have good parameters. Alt cyclic and reversible [5, 2.5, 3] additive codes over Z(2)(2) are isomorphic and possess interesting properties.

引用

页码：1056 / 1059

页数：4

共 50 条

[41] Designing DNA codes from reversible self-dual codes over GF(4)
Kim, Hyun Jin
Choi, Whan-Hyuk
Lee, Yoonjin
DISCRETE MATHEMATICS, 2021, 344 (01)
[42] Self-Dual Codes over R-k and Binary Self-Dual Codes
Dougherty, Steven
Yildiz, Bahattin
Karadeniz, Suat
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2013, 6 (01): : 89 - 106
[43] New extremal self-dual codes of length 62 and related extremal self-dual codes
Dontcheva, R
Harada, M
IEEE TRANSACTIONS ON INFORMATION THEORY, 2002, 48 (07) : 2060 - 2064
[44] Constructing self-dual cyclic codes over Z9 of length 3n
Wang, Sheng
Cao, Yuan
Cao, Yonglin
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2019, 59 (1-2) : 465 - 488
[45] Construction and enumeration for self-dual cyclic codes over Z4 of oddly even length
Cao, Yuan
Cao, Yonglin
Dougherty, Steven T.
Ling, San
DESIGNS CODES AND CRYPTOGRAPHY, 2019, 87 (10) : 2419 - 2446
[46] On self-dual constacyclic codes of length ps over Fpm + uFpm
Dinh, Hai Q.
Fan, Yun
Liu, Hualu
Liu, Xiusheng
Sriboonchitta, Songsak
DISCRETE MATHEMATICS, 2018, 341 (02) : 324 - 335
[47] THE CLASSIFICATION OF SELF-DUAL CODES OVER GALOIS RINGS OF LENGTH 4
Choi, Whan-Hyuk
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 55 (05) : 1371 - 1387
[48] Cyclic codes and self-dual codes over F2+uF2
Bonnecaze, A
Udaya, P
IEEE TRANSACTIONS ON INFORMATION THEORY, 1999, 45 (04) : 1250 - 1255
[49] Binary Optimal Odd Formally Self-Dual Codes
Koichi Betsumiya
Masaaki Harada
Designs, Codes and Cryptography, 2001, 23 : 11 - 22
[50] Binary optimal odd formally self-dual codes
Betsumiya, K
Harada, M
DESIGNS CODES AND CRYPTOGRAPHY, 2001, 23 (01) : 11 - 21

← 1 2 3 4 5 →