Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.jcta.2010.10.004
Title: Finiteness of circulant weighing matrices of fixed weight
Authors: Leung, K.H. 
Schmidt, B.
Keywords: Circulant weighing matrices
Field descent
Orthogonal families
Issue Date: Apr-2011
Citation: Leung, K.H., Schmidt, B. (2011-04). Finiteness of circulant weighing matrices of fixed weight. Journal of Combinatorial Theory. Series A 118 (3) : 908-919. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jcta.2010.10.004
Abstract: Let n be a fixed positive integer. Every circulant weighing matrix of weight n arises from what we call an irreducible orthogonal family of weight n. We show that the number of irreducible orthogonal families of weight n is finite and thus obtain a finite algorithm for classifying all circulant weighing matrices of weight n. We also show that, for every odd prime power q, there are at most finitely many proper circulant weighing matrices of weight q. © 2010 Elsevier Inc.
Source Title: Journal of Combinatorial Theory. Series A
URI: http://scholarbank.nus.edu.sg/handle/10635/103275
ISSN: 00973165
DOI: 10.1016/j.jcta.2010.10.004
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