Self-Dual Convolutional Codes

被引:1
作者
Heri, Sebastian [1 ]
Lieb, Julia [2 ]
Rosenthal, Joachim [3 ]
机构
[1] Saracus Consulting, CH-5405 Baden, Switzerland
[2] TU Ilmenau, Inst Math, D-98693 Ilmenau, Germany
[3] Univ Zurich, Inst Math, CH-8057 Zurich, Switzerland
基金
瑞士国家科学基金会;
关键词
Codes; Convolutional codes; Generators; Block codes; Codecs; Hamming weight; Mathematics; self-dual codes; classification of codes; construction of codes;
D O I
10.1109/TIT.2023.3343108
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper investigates the concept of self-dual convolutional codes. We derive the basic properties of this interesting class of codes and we show how some of the techniques to construct self-dual linear block codes generalize to self-dual convolutional codes. As for self-dual linear block codes we are able to give a complete classification for some small parameters.
引用
收藏
页码:950 / 963
页数:14
相关论文
共 50 条
  • [41] EXISTENCE OF CERTAIN EXTREMAL SELF-DUAL CODES
    TSAI, HP
    IEEE TRANSACTIONS ON INFORMATION THEORY, 1992, 38 (02) : 501 - 504
  • [42] Self-Dual Codes Over Chain Rings
    Simon Eisenbarth
    Gabriele Nebe
    Mathematics in Computer Science, 2020, 14 : 443 - 456
  • [43] Self-Dual Codes With an Automorphism of Order 11
    Yankov, Nikolay
    Lee, Moon Ho
    Gurel, Muberra
    Ivanova, Milena
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2015, 61 (03) : 1188 - 1193
  • [44] Group matrix ring codes and constructions of self-dual codes
    S. T. Dougherty
    Adrian Korban
    Serap Şahinkaya
    Deniz Ustun
    Applicable Algebra in Engineering, Communication and Computing, 2023, 34 : 279 - 299
  • [45] Designs and self-dual codes with long shadows
    Bachoc, C
    Gaborit, P
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2004, 105 (01) : 15 - 34
  • [46] Explicit Constructions of MDS Self-Dual Codes
    Sok, Lin
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2020, 66 (06) : 3603 - 3615
  • [47] Self-dual codes over Z(4)
    Bandi, Rama Krishna
    Bhaintwal, Maheshanand
    DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2015, 7 (02)
  • [48] A note on the constructions of MDS self-dual codes
    Yan, Haode
    CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2019, 11 (02): : 259 - 268
  • [49] Weight distributions of cyclic self-dual codes
    Nedeloaia, CS
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2003, 49 (06) : 1582 - 1591
  • [50] Self-Dual Codes Over Chain Rings
    Eisenbarth, Simon
    Nebe, Gabriele
    MATHEMATICS IN COMPUTER SCIENCE, 2020, 14 (02) : 443 - 456