On the construction of weighing matrices using negacyclic matrices
Australasian Journal of Combinatorics
We construct weighing matrices by 2-suitable negacyclic matrices, and study the conjecture by J. S. Wallis in 1972 that “For every n ≡ 2 (mod 4), there exist weighing matrices W (2n, w) constructed from two circulant / negacyclic (0, ±1) matrices of order n for every 0 < w ≤ 2n.”.
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