A family of balanced incomplete-block designs with repeated blocks on which general linear groups act

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Abstract

We give two constructions of a balanced incomplete-block design discovered by van Lint: the design has parameters (13,39,15,5,5), and has repeated blocks and an automorphism group of order 240. One of these methods can be generalized to produce a large class of designs with the properties of the title.
Original languageEnglish
Pages (from-to)143-150
Number of pages8
JournalJournal of Combinatorial Designs
Volume15
Publication statusPublished - 2007

Keywords

  • block designs
  • repeated blocks
  • general linear groups

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