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Kronecker sum of binary orthogonal Arrays

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Title Kronecker sum of binary orthogonal Arrays
 
Creator SINHA, K
VELLAISAMY, P
SINHA, N
 
Subject kronecker sum of matrices
orthogonal arrays
(0,1)-sum arrays
conjugate of orthogonal arrays
a-resolvable orthogonal arrays
mixed orthogonal arrays
 
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).
 
Publisher UTIL MATH PUBL INC
 
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
 
Type Article
 
Identifier UTILITAS MATHEMATICA, 75(), 249-257
0315-3681
http://dspace.library.iitb.ac.in/xmlui/handle/10054/12724
http://hdl.handle.net/10054/12724
 
Language en