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Orthogonal Designs Of Kharaghani Type: Ii, C. Koukouvinos, Jennifer Seberry
Orthogonal Designs Of Kharaghani Type: Ii, C. Koukouvinos, Jennifer Seberry
Professor Jennifer Seberry
H. Kharaghani, in "Arrays for orthogonal designs", J. Combin. Designs, 8 (2000), 166-173, showed how to use amicable sets of matrices to construct orthogonal designs in orders divisible by eight. We show how amicable orthogonal designs can be used to make amicable sets and so obtain infinite families of orthogonal designs in six variables in orders divisible by eight.
An Infinite Family Of Goethals-Seidel Arrays, M. Xia, Tianbing Xia, Jennifer Seberry
An Infinite Family Of Goethals-Seidel Arrays, M. Xia, Tianbing Xia, Jennifer Seberry
Professor Jennifer Seberry
In this paper we construct an infinite family of Goethals-Seidel arrays and prove the theorem: If q = 4n - 1 is a prime power = 3(mod 8), then there exists an Hadamard matrix of order 4n of Goethals-Seidel type
Inequivalence Of Nega-Cyclic ±1 Matrices, R. Ang, Jennifer Seberry, Tadeusz A. Wysocki
Inequivalence Of Nega-Cyclic ±1 Matrices, R. Ang, Jennifer Seberry, Tadeusz A. Wysocki
Professor Jennifer Seberry
We study nega-cyclic ±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.