Non-symmetric 2-designs modulo 2

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Abstract

Necessary conditions are obtained for the existence of a 2 - (v, k, λ) design, for which the block intersection sizes s1, s2, ..., sn satisfy s1 ≡s2 ≡ ... ≡sn ≡s (mod 2e), where e is odd. These conditions are obtained by combining restrictions on the Smith Normal Form of the incidence matrix of the design with some well known properties of self-orthogonal binary codes with all weights divisible by 4.

Original languageEnglish (US)
Pages (from-to)63-68
Number of pages6
JournalDesigns, Codes and Cryptography
Volume3
Issue number1
DOIs
StatePublished - Mar 1 1993
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Computer Science Applications
  • Applied Mathematics

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