Kronecker sum of binary orthogonal Arrays
DSpace at IIT Bombay
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Title |
Kronecker sum of binary orthogonal Arrays
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Creator |
SINHA, K
VELLAISAMY, P SINHA, N |
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Subject |
kronecker sum of matrices
orthogonal arrays (0,1)-sum arrays conjugate of orthogonal arrays a-resolvable orthogonal arrays mixed orthogonal arrays |
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Description |
Kronecker sum of binary orthogonal arrays have been introduced. It is well known that for any t >= 2, OA(2(t) t + 1, 2, t) exists. We give conditions under which OA(2(t), t+ 1, 2, t) is self-conjugate, and show the existence of mixed OA(2(t), n x 2(t+1), 2). Also, we prove that the existence of OA(N, k, 2, t'), t' >= 2, implies the existence of OA(N2(t), k(t + 1), 2, p), which is a-resolvable, and obtain mixed OA(N2(t), n x 2(4k(t+1)), p) therefrom, where p = 2 if max(t, t') = 2, and p = 3 if max(t, t') >= 3, where t corresponds to the trivial OA(2(t), t + 1, 2, t).
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Publisher |
UTIL MATH PUBL INC
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Date |
2011-09-01T08:44:22Z
2011-12-26T12:59:34Z 2011-12-27T05:52:00Z 2011-09-01T08:44:22Z 2011-12-26T12:59:34Z 2011-12-27T05:52:00Z 2008 |
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Type |
Article
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Identifier |
UTILITAS MATHEMATICA, 75(), 249-257
0315-3681 http://dspace.library.iitb.ac.in/xmlui/handle/10054/12724 http://hdl.handle.net/10054/12724 |
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Language |
en
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