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Journal of Combinatorial Mathematics and Combinatorial Computing

  • Research article

Negative Results for Orthogonal Triples of Latin Squares of Order \(10\)

Wendy Myrvold 1
1 University of Victoria Dept. of Computer Science P. 0. Box 3055, MS7209 Victoria, B. C.. V8W 3P6 Canada
  • Published: 28/02/1999

Abstract

We consider whether an order-ten Latin square with an order-four Latin subsquare can belong to an orthogonal triple of Latin squares. We eliminate \(20\) of \(28\) possibilities for how this could occur by considering the structure of possible mates. Our technique supplements the small collection of existing tools for obtaining negative results regarding
the existence of collections of orthogonal Latin squares.

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Citation
Wendy Myrvold . Negative Results for Orthogonal Triples of Latin Squares of Order \(10\)[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 029. 95-105. DOI: .