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|Title:||Finiteness of circulant weighing matrices of fixed weight|
|Authors:||Leung, K.H. |
|Keywords:||Circulant weighing matrices|
|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|
|Appears in Collections:||Staff Publications|
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