Nonexistence of two circulant weighing matrices of weight 81$^{1}$

Document Type : 75th Birthday of G. B. Khosrovshahi

Authors

1 Wright State University

2 Institute for Research in Fundamental Sciences (IPM)

Abstract

‎‎In this paper‎, ‎we prove the nonexistence of two weighing matrices of‎ ‎weight 81‎, ‎namely $CW(88,81)$ and $CW(99,81)$‎. ‎We will apply two‎ ‎very different methods to do so; for the case of $CW(88,81)$‎, ‎we‎ ‎will use almost purely counting methods‎, ‎while for $CW(99,81)$‎, ‎we‎ ‎will use algebraic methods‎.

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References

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Transactions on Combinatorics
Volume 4, Issue 3 - Serial Number 3
September 2015
Pages 43-52

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History

  • Receive Date: 28 April 2014
  • Revise Date: 02 September 2014
  • Accept Date: 08 September 2014
  • Published Online: 01 September 2015

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