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On skew-Hadamard matrices
Authors:C Koukouvinos
Institution:Department of Mathematics, National Technical University of Athens, Zografou 15773 Athens, Greece
Abstract:Skew-Hadamard matrices are of special interest due to their use, among others, in constructing orthogonal designs. In this paper, we give a survey on the existence and equivalence of skew-Hadamard matrices. In addition, we present some new skew-Hadamard matrices of order 52 and improve the known lower bound on the number of the skew-Hadamard matrices of this order.
Keywords:primary  05B20  secondary  62K05
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