Primitive Symmetric Designs with Prime Power Number of Points

被引：5

作者：

Braic, Snjezana ^{[1
]}

Golemac, Anka ^{[1
]}

Mandic, Josko ^{[1
]}

Vucicic, Tanja ^{[1
]}

机构：

[1] Univ Split, Dept Math, Split 21000, Croatia

来源：

JOURNAL OF COMBINATORIAL DESIGNS | 2010年 / 18卷 / 02期

关键词：

symmetric design; primitive automorphism group; difference set;

D O I：

10.1002/jcd.20240

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we either prove the non-existence or give explicit construction of primitive symmetric (v, k, lambda) designs with v=p(m)<2500, p prime and m>1. The method of design construction is based on an automorphism group action; non-existence results additionally include the theory of difference sets, multiplier theorems in particular. The research involves programming and wide-range computations. We make use of software package GAP and the library of primitive groups which it contains. (C) 2009 Wiley Periodicals. Inc. J Combin Designs 18: 141-154, 2010

引用

页码：141 / 154

页数：14

共 13 条

[1]

Beth T., 1999, DESIGN THEORY, VI

[2]

BRAIC S, 2006, PRIMITIVE UPSILON KA

[3]

CAMERON P. J., 1999, PERMUTATION GROUPS

[4]

Colbourn C.J., 2006, Handbook of Combinatorial Designs. Discrete Mathematics and Its Applications