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A construction for block circulant orthogonal designs
Author(s) -
Kharaghani H.
Publication year - 1996
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/(sici)1520-6610(1996)4:6<389::aid-jcd1>3.0.co;2-b
Subject(s) - mathematics , corollary , circulant matrix , integer (computer science) , hadamard matrix , combinatorics , orthogonal array , hadamard transform , block design , block (permutation group theory) , construct (python library) , discrete mathematics , multiple , arithmetic , statistics , computer science , mathematical analysis , taguchi methods , programming language
Corresponding to each odd integer q , we construct a complex orthogonal design. The number of variables and the form of the design depends on the integer q . Almost all of these designs are new and as a corollary we get a new asymptotic existence result for complex Hadamard matrices. © 1996 John Wiley & Sons, Inc.