Transversal designs of block size eight and nine

被引:8
作者
Colbourn, CJ [1 ]
机构
[1] UNIV WATERLOO,DEPT COMBINATOR & OPTIMIZAT,WATERLOO,ON N2L 3G1,CANADA
关键词
D O I
10.1006/eujc.1996.0001
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
New recursive and direct constructions for transversal designs of index more than one are established. Using these, the existence of transversal designs of index at least 2 and block size 8 is settled, with eight possible exceptions. Existence for block size 9 is settled with 44 possible exceptions. (C) 1995 Academic Press Limited.
引用
收藏
页码:1 / 14
页数:14
相关论文
共 12 条
[1]  
Abel R.J.R., 1994, AUSTRALAS J COMBIN, V10, P175
[2]  
[Anonymous], 1974, DISCRETE MATH
[3]  
Beth T., 1986, DESIGN THEORY
[4]   MORE MUTUALLY ORTHOGONAL LATIN SQUARES [J].
BROUWER, AE ;
VANREES, GHJ .
DISCRETE MATHEMATICS, 1982, 39 (03) :263-281
[5]  
COLBOURN CJ, IN PRESS J STAT PLAN
[6]  
COLBOURN CJ, IN PRESS CODES CRYPT
[7]  
DELAUNEY W, 1986, UTILITAS MATHEMATICA, V30, P5
[8]  
GOPALAKRISHNAN DR, ORTHOGONAL ARRAYS RE
[9]  
HANANI H, 1974, COMBINATORICA, P42
[10]   DIFFERENCE MATRICES, RESOLVABLE TRANSVERSAL DESIGNS AND GENERALIZED HADAMARD MATRICES [J].
JUNGNICKEL, D .
MATHEMATISCHE ZEITSCHRIFT, 1979, 167 (01) :49-60