Self-Dual Permutation Codes over Finite Chain Rings

被引：1
|
作者：
YUAN Yuan1
2. School of Informatics
机构：
来源：
Wuhan University Journal of Natural Sciences | 2007年 / 06期
基金：
中国国家自然科学基金;
关键词：
finite chain ring; group code; permutation code; self-dual code;
D O I：
暂无
中图分类号：
O157.4 [编码理论（代数码理论）];
学科分类号：
070104 ;
摘要：
Permutation codes over finite chain rings are intro-duced; by using the character of the finite chain rings and the knowledge of representation of group, some conditions for exis-tence or non-existence of self-dual permutation codes over finite chain rings are obtained. Specially, when the group is a direct product of a 2-group and a 2′-group, and the group action is transi-tive, the sufficient and necessary condition of the existence of permutation codes is given.
引用
收藏
页码：992 / 996
页数：5
相关论文
共 50 条
  • [1] Self-Dual Codes Over Finite Chain Rings
    Qian, Jianfa
    Ma, Wenping
    2008 11TH IEEE SINGAPORE INTERNATIONAL CONFERENCE ON COMMUNICATION SYSTEMS (ICCS), VOLS 1-3, 2008, : 250 - 252
  • [2] On self-dual cyclic codes over finite chain rings
    Batoul, Aicha
    Guenda, Kenza
    Gulliver, T. Aaron
    DESIGNS CODES AND CRYPTOGRAPHY, 2014, 70 (03) : 347 - 358
  • [3] Negacyclic self-dual codes over finite chain rings
    Xiaoshan Kai
    Shixin Zhu
    Designs, Codes and Cryptography, 2012, 62 : 161 - 174
  • [4] Negacyclic self-dual codes over finite chain rings
    Kai, Xiaoshan
    Zhu, Shixin
    DESIGNS CODES AND CRYPTOGRAPHY, 2012, 62 (02) : 161 - 174
  • [5] On self-dual cyclic codes over finite chain rings
    Aicha Batoul
    Kenza Guenda
    T. Aaron Gulliver
    Designs, Codes and Cryptography, 2014, 70 : 347 - 358
  • [6] Self-Dual Codes Over Chain Rings
    Simon Eisenbarth
    Gabriele Nebe
    Mathematics in Computer Science, 2020, 14 : 443 - 456
  • [7] Self-Dual Codes Over Chain Rings
    Eisenbarth, Simon
    Nebe, Gabriele
    MATHEMATICS IN COMPUTER SCIENCE, 2020, 14 (02) : 443 - 456
  • [8] SELF-DUAL PERMUTATION CODES OVER FORMAL POWER SERIES RINGS AND FINITE PRINCIPAL IDEAL RINGS
    张光辉
    刘宏伟
    Acta Mathematica Scientia, 2013, 33 (06) : 1695 - 1710
  • [9] SELF-DUAL PERMUTATION CODES OVER FORMAL POWER SERIES RINGS AND FINITE PRINCIPAL IDEAL RINGS
    Zhang, Guanghui
    Liu, Hongwei
    ACTA MATHEMATICA SCIENTIA, 2013, 33 (06) : 1695 - 1710
  • [10] Construction of self-dual MDR cyclic codes over finite chain rings
    Yuan, Jian
    Zhu, Shixin
    Kai, Xiaoshan
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2023, 69 (01) : 549 - 564
12345