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An infinite family of skew weighing matrices

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Combinatorial Mathematics IV

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 560))

Abstract

We verify the skew weighing matrix conjecture for orders 2t·7, t≥3 a positive integer, by showing that orthogonal designs (1,k) exist for all k=0,1,…,2t·7−1 in order 2t·7.

We discuss the construction of orthogonal designs using circulant matrices. In particular we construct designs in orders 20 and 28.

The weighing matrix conjecture is verified for order 60.

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References

  1. Peter Eades, Orthogonal designs constructed from circulants, Utilitas Math.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Australian National University, Canberra, A.C.T.

    Peter Eades & Jennifer Seberry Wallis

Authors
  1. Peter Eades
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  2. Jennifer Seberry Wallis
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Editor information

Louis R. A. Casse Walter D. Wallis

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© 1976 Springer-Verlag

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Eades, P., Wallis, J.S. (1976). An infinite family of skew weighing matrices. In: Casse, L.R.A., Wallis, W.D. (eds) Combinatorial Mathematics IV. Lecture Notes in Mathematics, vol 560. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097365

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  • DOI: https://doi.org/10.1007/BFb0097365

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08053-4

  • Online ISBN: 978-3-540-37537-1

  • eBook Packages: Springer Book Archive

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