Cyclic Difference Sets And Cyclic Hadamard Matrices
Abstract
The collection of cyclic Hadamard matrices H = (ai - j) : 0 <= i, j < n, and ai = -1, 1 of order n is characterized by the orthogonality relation HHT = nI. Only two of such matrices are currently known. It will be shown that this collection consists of precisely two matrices. An application of this result implies that there are exactly seven Barker sequences over the binary set -1, 1.
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