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Combinatorial Mathematics VII pp 83–93Cite as

Circulant (v,k,μ) designs

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 829))

Abstract

A circulant v×v matrix with entries from {0, 1−1} is a circulant (v,k,μ) design if each row has k nonzero entries and the product of distinct rows is μ. These designs have often appeared in constructions for orthogonal designs. Elementary existence results for (v,k,μ) designs are given in this paper.

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References

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Authors and Affiliations

  1. University of Queensland, St Lucia, Queensland

    Peter Eades

Authors
  1. Peter Eades
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Robert W. Robinson George W. Southern Walter D. Wallis

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© 1980 Springer-Verlag

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Eades, P. (1980). Circulant (v,k,μ) designs. In: Robinson, R.W., Southern, G.W., Wallis, W.D. (eds) Combinatorial Mathematics VII. Lecture Notes in Mathematics, vol 829. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088903

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  • DOI: https://doi.org/10.1007/BFb0088903

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10254-0

  • Online ISBN: 978-3-540-38376-5

  • eBook Packages: Springer Book Archive

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