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Article
Some orthogonal designs and complex Hadamard matrices by using two Hadamard matrices
Faculty of Informatics - Papers (Archive)
  • Jennifer Seberry, University of Wollongong
  • Xian-Mo Zhang, University of Wollongong
Publication Date
1-1-1991
Publication Details

Jennifer Seberry and Xian-Mo Zhang, Some orthogonal designs and complex Hadamard matrices by using two Hadamard matrices, Australasian Journal of Combinatorics, 4, (1991), 93-102.

Abstract

We prove that if there exist Hadamard matrices of order h and n divisible by 4 then there exist two disjoint W(1/4hn, 1/8hn), whose sum is a (1, -1) matrix and a complex Hadamard matrix of order 1/4hn, furthermore, if there exists an OD(m; s1, s2,··· ,sl) for even m then there exists an OD(1/4hnm; 1/4hns1, 1/4hns2,···, 1/4hnsl).

Citation Information
Jennifer Seberry and Xian-Mo Zhang. "Some orthogonal designs and complex Hadamard matrices by using two Hadamard matrices" (1991)
Available at: http://works.bepress.com/jseberry/287/