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Circulant weighing matrices of weight 22t

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Abstract

A weighing matrix of weight k is a square matrix M with entries 0, ±  1 such that MM T = kI n . We study the case that M is a circulant and k = 22t for some positive integer t. New structural results are obtained. Based on these results, we make a complete computer search for all circulant weighing matrices of order 16.

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Correspondence to K. T. Arasu.

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Communicated by A. Pott.

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Arasu, K.T., Leung, K.H., Ma, S.L. et al. Circulant weighing matrices of weight 22t . Des Codes Crypt 41, 111–123 (2006). https://doi.org/10.1007/s10623-006-0026-2

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  • DOI: https://doi.org/10.1007/s10623-006-0026-2

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