Constacyclic codes and constacyclic DFTs

被引:4
|
作者
Boztas, S [1 ]
机构
[1] Royal Melbourne Inst Technol, Dept Math, Melbourne, Vic 3001, Australia
关键词
D O I
10.1109/ISIT.1998.708839
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
We discuss the encoding/decoding of constacyclic codes by means of a constacyclic DFT. The constacyclic DFT can be applied to codes over finite fields as well as finite rings. We can also apply the constacyclic DFT to the decoding of cyclic codes by means of a structure theorem that decomposes cyclic codes into constacyclic codes.
引用
收藏
页码:235 / 235
页数:1
相关论文
共 50 条
  • [1] New quantum codes from constacyclic and additive constacyclic codes
    Islam, Habibul
    Prakash, Om
    QUANTUM INFORMATION PROCESSING, 2020, 19 (09)
  • [2] New quantum codes from constacyclic and additive constacyclic codes
    Habibul Islam
    Om Prakash
    Quantum Information Processing, 2020, 19
  • [3] MDS Constacyclic Codes and MDS Symbol-Pair Constacyclic Codes
    Dinh, Hai Q.
    Nguyen, Bac T.
    Singh, Abhay Kumar
    Yamaka, Woraphon
    Nguyen, Bac T. (nguyentrongbac@duytan.edu.vn), 1600, Institute of Electrical and Electronics Engineers Inc. (09): : 137970 - 137990
  • [4] MDS Constacyclic Codes and MDS Symbol-Pair Constacyclic Codes
    Dinh, Hai Q.
    Nguyen, Bac T.
    Singh, Abhay Kumar
    Yamaka, Woraphon
    IEEE ACCESS, 2021, 9 : 137970 - 137990
  • [5] A CLASS OF CONSTACYCLIC CODES
    JENSEN, JM
    IEEE TRANSACTIONS ON INFORMATION THEORY, 1994, 40 (03) : 951 - 954
  • [6] Constacyclic codes and cocycles
    Hughes, G
    1998 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY - PROCEEDINGS, 1998, : 233 - 233
  • [7] Quantum constacyclic codes
    Li, Zhuo
    Xing, Li-Juan
    Wang, Xin-Mei
    Xi'an Dianzi Keji Daxue Xuebao/Journal of Xidian University, 2009, 36 (01): : 48 - 51
  • [8] Polyadic Constacyclic Codes
    Chen, Bocong
    Dinh, Hai Q.
    Fan, Yun
    Ling, San
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2015, 61 (09) : 4895 - 4904
  • [9] Isodual constacyclic codes
    Blackford, Thomas
    FINITE FIELDS AND THEIR APPLICATIONS, 2013, 24 : 29 - 44
  • [10] On optimal constacyclic codes
    La Guardia, Giuliano G.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2016, 496 : 594 - 610