Inequivalence of Nega-cyclic +-1 Matrices

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Journal of Combinatorial Mathematics and Combinatorial Computing, Vol: 56, Page: 17-32

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Ang, Russell; Seberry, Jennifer; Wysocki, Tadeusz
article description
We study nega-cyc1ic ±1 matrices. We obtain preliminary results which are then used to decrease the search space. We find that there are 2, 4, 9, 23, 63, and 187 ip-equivalence classes for lengths 3, 5, 7,9, 11, and 13 respectively. The matrices we find are used in a variant given here of the Goethals-Seidel array to form Hadamard matrices, the aim being to later check them for suitability for CDMA schemes.