On 2-(n^2,2n,2n-1) designs with three intersection numbers

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Abstract

The simple incidence structure D(A,2), formed by the points and the unordered pairs of distinct parallel lines of a finite affine plane A = (P,L) of order n > 4, is a 2 - (n 2,2n,2n-1) design with intersection numbers 0,4,n. In this paper, we show that the converse is true, when n > 5 is an odd integer.
Original languageEnglish
Pages (from-to)33-40
Number of pages8
JournalDESIGNS, CODES AND CRYPTOGRAPHY
Volume43
Publication statusPublished - 2007

All Science Journal Classification (ASJC) codes

  • Computer Science Applications
  • Applied Mathematics

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