Author:
Wallis Jennifer Seberry,Whiteman Albert Leon
Abstract
It is shown that if q is a prime power then there exists a circulant weighing matrix of order q2 + q + 1 with q2 nonzero elements per row and column.This result allows the bound N to be lowered in the theorem of Geramita and Wallis that “given a square integer k there exists an integer N dependent on k such that weighing matrices of weight k and order n and orthogonal designs (1, k) of order 2n exist for every n > N”.
Publisher
Cambridge University Press (CUP)
Reference11 articles.
1. [11] Wallis Jennifer Seberry , “Orthogonal designs V: orders divisible by eight”, Utilitas Math. (to appear).
2. [9] Spence Edward , “Skew-Hadamard matrices of the Goethals-Seidel type”, Canad. J. Math. (to appear).
3. Variants of cyclic difference sets
4. Orthogonal Matrices with Zero Diagonal
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