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Kronecker products of systems of orthogonal designs

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1036)

Abstract

The concept of a system of orthogonal designs enables many of the construction techniques of orthogonal design theory to be unified and generalized by one theorem.

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References

  1. M. Burrow, Representation Theory of Finite Groups (Academic Press, New York and London, 1965).

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  2. H.M. Gastineau-Hills, Quasi Clifford Algebras and Systems of Orthogonal Designs, J. Aust. Math. Soc. [To appear]

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  3. A.V. Geramita, J.M. Geramita, J. Seberry (Wallis), Orthogonal Designs, Linear and Multilinear Algebra, 3(1975/76), 281–306.

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  4. A.V. Geramita, J. Seberry, Orthogonal Designs: Quadratic Forms and Hadamard Matrices, (Marcel Dekker, New York, 1979).

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  5. P.J. Robinson, Using Product Designs to Construct Orthogonal Designs, Bull. Austral. Math. Soc., 16(1977), 297–305.

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  6. P.J. Robinson, J. Seberry, Orthogonal Designs in Fowers of Two, Ars Combinatoria, 4(1977), 43–57.

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  7. W. Wolfe, Orthogonal Designs — Amicable Orthogonal Designs (Ph.D. Thesis, Queen's University Kingston, Ontario, Canada, 1975).

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© 1983 Springer-Verlag

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Gastineau-Hills, H.M. (1983). Kronecker products of systems of orthogonal designs. In: Casse, L.R.A. (eds) Combinatorial Mathematics X. Lecture Notes in Mathematics, vol 1036. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071519

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  • DOI: https://doi.org/10.1007/BFb0071519

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12708-6

  • Online ISBN: 978-3-540-38694-0

  • eBook Packages: Springer Book Archive