The asymptotic number of inequivalent binary codes and nonisomorphic binary matroids

被引:13
作者
Wild, M [1 ]
机构
[1] Univ Stellenbosch, ZA-7602 Stellenbosch, South Africa
关键词
D O I
10.1006/ffta.1999.0273
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The asymptotic value as n --> infinity of the number b(n) of inequivalent binary n-codes is determined. It was long known that b(n) also gives the number of nonisomorphic binary n-matroids. (C) 2000 Academic Press.
引用
收藏
页码:192 / 202
页数:11
相关论文
共 12 条
[1]  
[Anonymous], INTRO PROBABILITY TH
[2]  
[Anonymous], 1983, ENCY MATH APPL
[3]  
[Anonymous], 1992, ENCY MATH ITS APPL
[4]  
BETTEN A, 1998, CODIERUNGSTHEORIE
[5]   INVARIANT SUBSPACE LATTICE OF A LINEAR TRANSFORMATION [J].
BRICKMAN, L ;
FILLMORE, PA .
CANADIAN JOURNAL OF MATHEMATICS, 1967, 19 (04) :810-&
[6]  
DAY A, 1988, ORDER, V5, P85
[7]  
Goldman J., 1969, RECENT PROGR COMBINA, P75
[8]  
VOGT F, 1995, LATTICE THEORY ITS A, P241
[9]  
Welsh D.J.A., 1976, Matroid Theory
[10]   AXIOMATIZING SIMPLE BINARY MATROIDS BY THEIR CLOSED CIRCUITS [J].
WILD, M .
APPLIED MATHEMATICS LETTERS, 1993, 6 (06) :39-40