Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

A family of large set of size nine

Document Type : Research Paper

Authors
Mojgan Emami 1
Ozra Naserian 2
1 University of Zanjan
2 University of zanjan
Abstract
 We investigate the existence of some‎ ‎large sets of size nine‎. ‎The large set $LS[9](2,5,29)$ is constructed and‎
‎existence of the family $LS[9](2,5,27l+j)$ for $lgeq 1, ‎2leq‎ ‎j<5$ are proved‎.
Keywords
Large set‎
‎Kramer-Mesner matrix‎
‎block design‎
Subjects

  • Receive Date 28 September 2012
  • Revise Date 21 May 2013
  • Accept Date 27 May 2013