New Extremal Type II Codes over ℤ4

被引:18
|
作者
Harada M. [1 ,2 ]
机构
[1] Department of Mathematics, Okayama University
[2] Department of Mathematical Sciences, Yamagata University
基金
日本学术振兴会;
关键词
External codes and Type II codes; Self-dual codes over ℤ4;
D O I
10.1023/A:1008254008212
中图分类号
学科分类号
摘要
Recently Type II codes over ℤ4, have been introduced as self-dual codes containing the all-one vector with the property that all Euclidean weights are divisible by eight. The notion of extremality for the Euclidean weight has been also given. In this paper, we give two methods for constructing Type II codes over ℤ4. By these methods, new extremal Type II codes of lengths 16, 24, 32 and 40 are constructed from weighing matrices.
引用
收藏
页码:271 / 284
页数:13
相关论文
共 50 条
  • [41] NEW EXTREMAL BINARY SELF-DUAL CODES OF LENGTHS 66 AND 68 FROM CODES OVER Rk,m
    Kaya, Abidin
    Tufekci, Nesibe
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2017, 54 (01) : 29 - 42
  • [42] Type I and Type II codes over the ring F2
    Ankur
    Kewat, Pramod Kumar
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2019, 12 (02)
  • [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] New extremal binary self-dual codes of length 66 as extensions of self-dual codes over Rk
    Karadeniz, Suat
    Yildiz, Bahattin
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2013, 350 (08): : 1963 - 1973
  • [45] Type II codes over F2+uF2
    Dougherty, ST
    Gaborit, P
    Harada, M
    Solé, P
    IEEE TRANSACTIONS ON INFORMATION THEORY, 1999, 45 (01) : 32 - 45
  • [46] Orthogonal Designs and Type II Codes over ℤ2k
    Stelios Georgiou
    Masaaki Harada
    Christos Koukouvinos
    Designs, Codes and Cryptography, 2002, 25 : 163 - 174
  • [47] Type-II polyadic constacyclic codes over finite fields
    Jitman, Somphong
    Ling, San
    Tharnnukhroh, Jareena
    DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2023, 15 (02)
  • [48] Construction of new extremal self-dual codes
    Gulliver, TA
    Harada, M
    Kim, JL
    DISCRETE MATHEMATICS, 2003, 263 (1-3) : 81 - 91
  • [49] Some new extremal codes of lengths 76 and 78
    Baartmans, A
    Yorgov, V
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2003, 49 (05) : 1353 - 1354
  • [50] Type IV-II codes over Z4 constructed from generalized bent functions
    Ban, Sara
    Rukavina, Sanja
    AUSTRALASIAN JOURNAL OF COMBINATORICS, 2022, 84 : 341 - 356