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Physical Sciences and Mathematics Commons™
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Full-Text Articles in Physical Sciences and Mathematics
Short Amicable Sets And Kharaghani Type Orthogonal Designs, C. Koukouvinos, Jennifer Seberry
Short Amicable Sets And Kharaghani Type Orthogonal Designs, C. Koukouvinos, Jennifer Seberry
Faculty of Informatics - Papers (Archive)
Short amicable sets were introduced recently and have many applications. The construction of short amicable sets had lead to the construction of many orthogonal designs, weighing matrices and Hadamard matrices. In this paper we give some constructions for short amicable sets as well as some multiplication theorems. We also present a table of the short amicable sets known to exist and we construct some infinite families of short amicable sets and orthogonal designs.
A New Algorithm For Computer Searches For Orthogonal Designs, S. Georgiou, C. Koukouvinos, M. Mitrouli, Jennifer Seberry
A New Algorithm For Computer Searches For Orthogonal Designs, S. Georgiou, C. Koukouvinos, M. Mitrouli, Jennifer Seberry
Faculty of Informatics - Papers (Archive)
We present a new algorithm for computer searches for orthogonal designs. Then we use this algorithm to find new sets of sequences with entries from {0, ±a, ±b, ±c, ±d} on the commuting variables a, b, c, d with zero autocorrelation function.