A BOUND FOR DIVISIBLE CODES

被引:17
作者
WARD, HN
机构
[1] Department of Mathematics, Math-Astronomy Building, University of Virginia, Charlottesville
关键词
DIVISIBLE CODES; SELF-DUAL CODES; BOUNDS;
D O I
10.1109/18.108271
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A divisible code is a linear code whose word weights have a common divisor larger than one. If the divisor is a power of the field characteristic, there is a simple bound on the dimension of the code in terms of its weight range. When this bound is applied to the subcode of words with weight divisible by four in a type I binary self-dual code, it yields an asymptotic improvement of the Conway-Sloane bound for self-dual codes.
引用
收藏
页码:191 / 194
页数:4
相关论文
共 11 条
[1]  
BONISOLI A, 1983, ARS COMBINATORIA, V18, P181
[2]  
Conway J. H., 1988, SPHERE PACKINGS LATT
[3]   A NEW UPPER BOUND ON THE MINIMAL DISTANCE OF SELF-DUAL CODES [J].
CONWAY, JH ;
SLOANE, NJA .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1990, 36 (06) :1319-1333
[4]  
Macwilliams F. J., 1977, THEORY ERROR CORRECT
[5]  
Nagell T., 1951, INTRO NUMBER THEORY
[6]  
SINGMASTER D, 1974, J LOND MATH SOC, V8, P545
[7]   COMBINATORIAL POLARIZATION [J].
WARD, HN .
DISCRETE MATHEMATICS, 1979, 26 (02) :185-197
[8]   RESTRICTION ON WEIGHT ENUMERATOR OF A SELF-DUAL CODE [J].
WARD, HN .
JOURNAL OF COMBINATORIAL THEORY SERIES A, 1976, 21 (02) :253-255
[9]   DIVISIBLE CODES [J].
WARD, HN .
ARCHIV DER MATHEMATIK, 1981, 36 (06) :485-494
[10]  
WEISS E, 1963, ALGEBRAIC NUMBER THE