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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