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A canonical form for incidence matrices of finite projective planes and their associated latin squares and planar ternary rings

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Combinatorial Mathematics X

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1036))

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Abstract

We refine the Paige-Wexler canonical form for incidence matrices of finite projective planes and thus obtain a simple relationship between the incidence matrix and a corresponding planar ternary ring. We also demonstrate a simple relationship between an incidence matrix and a corresponding set of mutually orthogonal latin squares.

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References

  1. R. C. Bose, On the application of the properties of Galois fields to the problem of construction of hyper-graeco-latin squares. Sankhyá 3 (1938), 323–338.

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Authors
  1. Stephen Bourn
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Editor information

Louis Reynolds Antoine Casse

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© 1983 Springer-Verlag

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Bourn, S. (1983). A canonical form for incidence matrices of finite projective planes and their associated latin squares and planar ternary rings. In: Casse, L.R.A. (eds) Combinatorial Mathematics X. Lecture Notes in Mathematics, vol 1036. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071512

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  • DOI: https://doi.org/10.1007/BFb0071512

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12708-6

  • Online ISBN: 978-3-540-38694-0

  • eBook Packages: Springer Book Archive

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