SOME NON-ISOMORPHIC (4T + 4, 8T + 6, 4T + 3, 2T + 2, 2T + 1)-BIBDS

被引：5

作者：

KOCAY, W

VANREES, GHJ

机构：

[1] Department of Computer Science, University of Manitoba, Winnipeg

来源：

DISCRETE MATHEMATICS | 1991年 / 92卷 / 1-3期

关键词：

D O I：

10.1016/0012-365X(91)90277-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper the automorphism groups of parts of the (4t + 3, 2t + 1, t)-BIBD's are studied in order to show that these designs can be used to construct a great many non-isomorphic (4t + 4, 8t + 6, 4t + 3, 2t + 2, 2t + 1)-BIBD's if certain conditions are met. In particular, 92,436,200 non-isomorphic (16, 30, 15, 8, 7)-BIBD's 10,869,917,004,894,316 non-isomorphic (20, 38, 19, 10, 9)-BIBD's, 403,880,965,784,264,348 non-isomorphic (24, 46, 23, 12, 11)-BIBD's, 9,820,329,245,540,352,000,000 non-isomorphic (28, 54, 27, 14, 13)-BIBD's, and 38,029,083,844,041,728,836,746,735,484 non-isomorphic (32, 62, 31, 16, 15)-BIBD's are constructed.

引用

页码：159 / 172

页数：14

共 12 条

[1]

BHAT VN, 1970, J COMB THEORY, V9, P174

[2]

BHAT VN, 1972, J COMB THEORY A, V12, P225

[3]

BHAT VN, 1972, J COMB THEORY A, V12, P217

[4]

GIBBONS PB, 1976, THESIS U TORONTO

[5]

Hall M, 1986, COMBINATORIAL THEORY, V2nd

[6] CLASSIFICATION OF 3-(24, 12, 5) DESIGNS AND 24-DIMENSIONAL HADAMARD-MATRICES [J].

ITO, N ;

LEON, JS ;

LONGYEAR, JQ .

JOURNAL OF COMBINATORIAL THEORY SERIES A, 1981, 31 (01) :66-93

[7]

KOCAY WL, 1984, J COMBIN INFO SYSTEM, V9, P247

[8]

Lenz, 1985, DESIGN THEORY

[9]

Mathon R., 1985, ANN DISCRETE MATH, V26, P275

[10]

Nandi HK, 1946, SANKHYA, V7, P305

← 1 2 →