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An infinite family of skew weighing matrices

Part of the Lecture Notes in Mathematics book series (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.

Keywords

  • Orthogonal Design
  • Infinite Family
  • Hadamard Matrix
  • Integer Matrix
  • Circulant Matrice

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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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

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