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Titlebook: Combinatorial Mathematics IV; Proceedings of the F Louis R. A. Casse,Walter D. Wallis Conference proceedings 1976 Springer-Verlag Berlin He

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Hrayr P. Attarian,Mari Viola-Saltzman2.·7−1 in order 2.·7..We discuss the construction of orthogonal designs using circulant matrices. In particular we construct designs in orders 20 and 28..The weighing matrix conjecture is verified for order 60.
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https://doi.org/10.1007/978-1-4939-2089-1lock designs. Our main construction method, using unions of cyclotomic classes, gives us upper bounds on m, the number of associate classes of the design, but not exact values for m; we discuss the possible values of m and the circumstances under which m=1, so that the design is in fact balanced.
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https://doi.org/10.1007/978-1-4939-2089-1sitive integers such that the first term is at most d. and the difference between consecutive terms lies between d. and d.. We establish a recurrence relation to enumerate the sequences with given sum and last term and derive methods for constructing all such sequences with a given sum.
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978-3-540-08053-4Springer-Verlag Berlin Heidelberg 1976
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