Designs and partial geometries over finite fields

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27 Scopus citations

Abstract

Let be a finite field, and let (ℙ, ] be a nontrivial 2-(n, k, 1)-design over . Then each point α ∈ ℙ induces a (k - 1)-spread Sα on ℙ/α. (ℙ, ) is said to be a geometric design if Sα is a geometric spread on ℙ/α for each α isin; ℙ. In this paper, we prove that there are no geometric designs over any finite field .

Original languageEnglish (US)
Pages (from-to)247-253
Number of pages7
JournalGeometriae Dedicata
Volume63
Issue number3
DOIs
StatePublished - 1996

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

Keywords

  • Designs over finite fields
  • Partial geometries

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