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
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
收藏
页码:1056 / 1059
页数:4
相关论文
共 50 条
  • [1] On self-dual skew cyclic codes of length ps over Fpm + uFpm
    Hesari, Roghayeh Mohammadi
    Rezaei, Rashid
    Samei, Karim
    DISCRETE MATHEMATICS, 2021, 344 (11)
  • [2] Construction of reversible self-dual codes
    Kim, Hyun Jin
    Choi, Whan-Hyuk
    Lee, Yoonjin
    FINITE FIELDS AND THEIR APPLICATIONS, 2020, 67
  • [3] An efficient method to construct self-dual cyclic codes of length ps over Fpm + uFpm
    Cao, Yuan
    Cao, Yonglin
    Dinh, Hai Q.
    Jitman, Somphong
    DISCRETE MATHEMATICS, 2020, 343 (06)
  • [4] Self-dual cyclic codes over Z4 of length 4n
    Cao, Yuan
    Cao, Yonglin
    Fu, Fang-Wei
    Wang, Guidong
    APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2022, 33 (01) : 21 - 51
  • [5] On Self-Dual Cyclic Codes Over Finite Fields
    Jia, Yan
    Ling, San
    Xing, Chaoping
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2011, 57 (04) : 2243 - 2251
  • [6] 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
  • [7] 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
  • [8] Constructing and expressing Hermitian self-dual cyclic codes of length ps over Fpm + uFpm
    Cao, Yuan
    Cao, Yonglin
    Fu, Fang-Wei
    Ma, Fanghui
    APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2024, 35 (03) : 291 - 314
  • [9] On the construction of self-dual cyclic codes over Z4 with arbitrary even length
    Cao, Yuan
    Cao, Yonglin
    Ling, San
    Wang, Guidong
    CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2022, 14 (05): : 1117 - 1143
  • [10] Self-dual Additive Codes Based of Paley Method
    Liu, Jian
    Yu, Rongzu
    ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL 1: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS, 2008, : 167 - 170