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Paper
IPM / M / 131 |
School of Mathematics
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Title: |
Arrays for orthogonal designs
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Author(s): |
H. Kharaghani
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Status: |
Published
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Journal: |
J. Combin. Des.
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Vol.: |
8
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Year: |
2000
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Pages: |
166-173
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Supported by: |
IPM
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Abstract: |
A set {A1,A2,…, A2n} of square real matrices is said to be
amicable if
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n
∑
i=1
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(Aσ(2i−1) Atσ(2i)−Aσ(2i) Atσ(2i−1))=0 |
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for some permutation σ of the set {1,2,…, 2n}. An
infinite number of arrays which are suitable for any amicable set of 8 circulant matrices are introduced. Applications include new
classes of orthogonal designs.
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