Abstract
In 1970 Goethals and Seidel produced a matrix on 4 variables which has proved invaluable in the construction of orthogonal designs. In this paper the Goethals-Seidel matrix is generalized to construct orthogonal designs of large composite orders. An asymptotic result for 4 variable orthogonal designs of order 4t, where t is odd, is obtained.
Keywords
- Abelian Group
- Asymptotic Result
- Orthogonal Design
- Hadamard Matrice
- Circulant Matrice
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References
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© 1977 Springer-Verlag
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Eades, P. (1977). Some new constructions for orthogonal designs using circulants. In: Little, C.H.C. (eds) Combinatorial Mathematics V. Lecture Notes in Mathematics, vol 622. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069182
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DOI: https://doi.org/10.1007/BFb0069182
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-08524-9
Online ISBN: 978-3-540-37020-8
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