ON THE WEIGHT ENUMERATOR OF PRODUCT CODES

被引：5
|
作者：
TOLHUIZEN, LMGM
BAGGEN, CPMJ
机构：
[1] Philips Research Laboratories, 5600 JA Eindhoven
来源：
DISCRETE MATHEMATICS | 1992年 / 106卷
关键词：
D O I：
10.1016/0012-365X(92)90579-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The number of words of weight w in the product code of linear codes with minimum distances d(r) and d(c) is expressed in the number of low weight words of the constituent codes, provided that w < d(r)d(c) + max(d(r)d(c)). By examples it is shown that, in general, the full weight enumerator of a product code is not completely determined by the weight enumerator of its constitutent codes.
引用
收藏
页码：483 / 488
页数：6
相关论文
共 50 条
  • [1] More results on the weight enumerator of product codes
    Tolhuizen, LMGM
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2002, 48 (09) : 2573 - 2577
  • [2] The average weight enumerator and the maximum likelihood performance of product codes.
    El-Khamy, M
    2005 International Conference on Wireless Networks, Communications and Mobile Computing, Vols 1 and 2, 2005, : 1587 - 1592
  • [3] COMPLETE WEIGHT ENUMERATOR OF TORSION CODES
    Meng, Xiangrui
    Gao, Jian
    ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2022, 16 (03) : 571 - 596
  • [4] The Weight Enumerator of a Class of Cyclic Codes
    Ma, Changli
    Zeng, Liwei
    Liu, Yang
    Feng, Dengguo
    Ding, Cunsheng
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2011, 57 (01) : 397 - 402
  • [5] Weight enumerator of some irreducible cyclic codes
    Brochero Martinez, Fabio Enrique
    Giraldo Vergara, Carmen Rosa
    DESIGNS CODES AND CRYPTOGRAPHY, 2016, 78 (03) : 703 - 712
  • [6] Two classes of cyclic codes and their weight enumerator
    Yan, Haode
    Liu, Chunlei
    DESIGNS CODES AND CRYPTOGRAPHY, 2016, 81 (01) : 1 - 9
  • [7] CODES WITH THE SAME LEE WEIGHT ENUMERATOR ARE ISOMETRIC
    GOLDBERG, DY
    SOLOW, AE
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 1982, 32 (03) : 405 - 406
  • [8] Weight enumerator of some irreducible cyclic codes
    Fabio Enrique Brochero Martínez
    Carmen Rosa Giraldo Vergara
    Designs, Codes and Cryptography, 2016, 78 : 703 - 712
  • [9] Two classes of cyclic codes and their weight enumerator
    Haode Yan
    Chunlei Liu
    Designs, Codes and Cryptography, 2016, 81 : 1 - 9
  • [10] The Weight Enumerator of Three Families of Cyclic Codes
    Zhou, Zhengchun
    Zhang, Aixian
    Ding, Cunsheng
    Xiong, Maosheng
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2013, 59 (09) : 6002 - 6009
12345