A Reduction Theorem for Circulant Weighing Matrices

Document Type

Article

Publication Date

1-1-1998

Identifier/URL

41015011 (Pure)

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Abstract

Circulant weighing matrices of order n with weight k, denoted by WC(n, k), are investigated. Under some conditions, we show that the existence of WC(n, k) implies that of WCG, ~). Our results establish the nonexistence of WC(n,k) for the pairs (n,k) = (125,25), (44,36), (64,36), (66,36), (80,36), (72,36), (118,36), (128,36), (136,36), (128,100), (144,100), (152,100), (88,36), (132,36), (160,36), (166,36), (176,36), (198, 36), (200, 36), (200,100). All these cases were previously open.

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