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
A.V. Geramita and Jennifer Seberry, Orthogonal Designs: Quadratic Forms and Hadamard Matrices (Marcel Dekker, New York, 1979).
Joseph Hammer and Jennifer Seberry, Higher dimensional orthogonal designs and applications, IEEE Trans. Inform. Theory, (to appear).
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
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