Steiner triple systems of order 19 and 21 with subsystems of order 7

被引：22

作者：

Kaski, Petteri ^{[1
]}

Ostergard, Patric R. J. ^{[2
]}

Topalova, Svetlana ^{[3
]}

Zlatarski, Rosen ^{[3
]}

机构：

[1] Helsinki Univ Technol, Lab Theoret Comp Sci, FIN-02150 Espoo, Finland

[2] Helsinki Univ Technol, Dept Elect & Commun Engn, FIN-02150 Espoo, Finland

[3] Bulgarian Acad Sci, Inst Math & Informat, Veliko Tarnovo 5000, Bulgaria

来源：

DISCRETE MATHEMATICS | 2008年 / 308卷 / 13期

关键词：

classification; doubly resolvable design; Steiner triple system; subsystem;

D O I：

10.1016/j.disc.2006.06.038

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Steiner triple systems (STSs) with subsystems of order 7 are classified. For order 19, this classification is complete, but for order 21 it is restricted to Wilson-type systems, which contain three subsystems of order 7 on disjoint point sets. The classified STSs of order 21 are tested for resolvability; none of them is doubly resolvable. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：2732 / 2741

页数：10

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