Generalizations of Bose's equivalence between complete sets of mutually orthogonal Latin squares and affine planes

Charles F. Laywine, Gary L. Mullen

Research output: Contribution to journalArticle

14 Scopus citations

Abstract

Using affine resolvable designs and complete sets of mutually orthogonal frequency squares and hypercubes, we provide several generalizations of Bose's equivalence between affine planes of order n and complete sets of mutually orthogonal latin squares of order n. We also characterize those complete sets of orthogonal frequency squares and hypercubes which are equivalent to affine geometries.

Original languageEnglish (US)
Pages (from-to)13-35
Number of pages23
JournalJournal of Combinatorial Theory, Series A
Volume61
Issue number1
DOIs
StatePublished - Sep 1992

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics

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