On the constructions of constant-weight codes

被引:39
作者
Fu, FW [1 ]
Vinck, AJH
Shen, SY
机构
[1] Univ Essen Gesamthsch, Inst Expt Math, D-4300 Essen, Germany
[2] Nankai Univ, Dept Math, Tianjin 300071, Peoples R China
关键词
constant-weight codes; Johnson bound; Plotkin bound; simplex codes;
D O I
10.1109/18.651060
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Two methods of constructing binary constant-weight codes from 1) codes over GF(q) and 2) constant-weight codes over GF(q) are presented. Several classes of binary optimum constant-weight codes are derived from these methods. in general, we show that binary optimum constant-weight codes, which achieve the Johnson bound, can be constructed from optimum codes over CF(q) which achieve the Plotkin bound. Finally, several classes of optimum constant-weight codes over GF(q) are constructed.
引用
收藏
页码:328 / 333
页数:6
相关论文
共 15 条
  • [1] DC-CONSTRAINED CODES FROM HADAMARD-MATRICES
    BARG, AM
    LITSYN, SN
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1991, 37 (03) : 801 - 807
  • [2] Brouwer A. E., 1990, IEEE T INFORM THEORY, V36, P1344
  • [3] ERICSON T, 1987, IEEE T INFORM THEORY, V33, P720
  • [4] ERICSON T, 1989, LECT NOTES CONTROL I, V128, pCH2
  • [5] ETZION T, 1997, IN PRESS DISCR MATH
  • [6] A NEW UPPER BOUND FOR ERROR-CORRECTING CODES
    JOHNSON, SM
    [J]. IRE TRANSACTIONS ON INFORMATION THEORY, 1962, 8 (03): : 203 - 207
  • [7] MACKENZIE C, 1984, ARS COMBINATORIA A, V17, P251
  • [8] MACWILLIAMS FJ, 1981, THEORY ERROR CORRECT
  • [9] CONSTRUCTIONS OF BINARY CONSTANT-WEIGHT CYCLIC CODES AND CYCLICALLY PERMUTABLE CODES
    NGUYEN, QA
    GYORFI, L
    MASSEY, JL
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1992, 38 (03) : 940 - 949
  • [10] PHELPS K, IN PRESS J COMB DES