On coloured constant composition designs

Marcus Greferath, Ryan K. Therkelsen

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1 Citation (Scopus)

Abstract

This paper deals with a particular class of coloured designs: the incidence vectors of all blocks of these designs have the same composition, and the same is true for the incidence vectors of all points. For this reason, we call these designs constant composition designs, or CC-designs for short. We will derive necessary and sufficient conditions on the existence and conclude the presentation with a collection of examples.
Original languageUndefined/Unknown
Pages (from-to)2410-2416
Number of pages7
JournalDiscrete Mathematics
Volume309
Issue number8
DOIs
Publication statusPublished - 2009
MoE publication typeA1 Journal article-refereed

Keywords

  • coloured design
  • ring-linear code
  • weight function
  • finite ring geometry

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