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Higher dimensional orthogonal designs and hadamard matrices

Contributed Papers

Part of the Lecture Notes in Mathematics book series (LNM,volume 829)

Abstract

We construct n-dimensional orthogonal designs of type (1,1)n, side 2 and propriety (2,2,…,2). These are then used to show that orthogonal designs of type (2t,2t)n, side 2t+1 and propriety (2,2,…,2) exist.

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References

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

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  2. Joseph Hammer and Jennifer Seberry, Higher dimensional orthogonal designs and applications, IEEE Trans. Inform. Theory, (to appear).

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  3. P.J. Shlichta, Higher dimensional Hadamard matrices, IEEE Trans. Inform. Theory, (to appear).

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© 1980 Springer-Verlag

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Seberry, J. (1980). Higher dimensional orthogonal designs and hadamard matrices. In: Robinson, R.W., Southern, G.W., Wallis, W.D. (eds) Combinatorial Mathematics VII. Lecture Notes in Mathematics, vol 829. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088915

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  • DOI: https://doi.org/10.1007/BFb0088915

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10254-0

  • Online ISBN: 978-3-540-38376-5

  • eBook Packages: Springer Book Archive