Partial geometric designs from group actions

Michel，Jerod; Wang，Qi

2019-11-01

10.1007/s10623-019-00644-7

DESIGNS CODES AND CRYPTOGRAPHY   影响因子和分区

0925-1022

1573-7586

In this paper, using group actions, we introduce a new method for constructing partial geometric designs (sometimes referred to as 112-designs). Using this new method, we construct several infinite families of partial geometric designs by investigating the actions of various linear groups of degree two on certain subsets of Fq2. Moreover, by computing the stabilizers of such subsets in various linear groups of degree two, we are also able to construct a new infinite family of balanced incomplete block designs.

Combinatorial design Group action Partial geometric design Special linear group

SCI ; EI

英语

第一 ; 通讯

National Science Foundation of China[61672015]

Computer Science ; Mathematics

Computer Science, Theory & Methods ; Mathematics, Applied

WOS:000492218200013

SPRINGER

20194307566831

Computer applications ; Mathematical techniques

Computer Applications:723.5 ; Mathematics:921

COMPUTER SCIENCE

2-s2.0-85073553854

Scopus

Department of Computer Science and EngineeringSouthern University of Science and Technology,Shenzhen,518055,China

Michel，Jerod,Wang，Qi. Partial geometric designs from group actions[J]. DESIGNS CODES AND CRYPTOGRAPHY,2019,87(11):2655-2670.

Michel，Jerod,&Wang，Qi.(2019).Partial geometric designs from group actions.DESIGNS CODES AND CRYPTOGRAPHY,87(11),2655-2670.

Michel，Jerod,et al."Partial geometric designs from group actions".DESIGNS CODES AND CRYPTOGRAPHY 87.11(2019):2655-2670.