Amicable Orthogonal Designs of Order 8 for Complex Space-Time Block Codes

Y. Zhao, University of Wollongong
J. Seberry, University of Wollongong
T. Xia, University of Wollongong
Y. Wang, University of Wollongong
B. J. Wysocki, University of Wollongong
T. A. Wysocki, University of Wollongong
L. C. Tran, University of Wollongong

Article comments

This article was originally published as Zhao, Y, Seberry, J, Xia, T, Wang, Y, Wysocki, BJ, Wysocki, TA and Tran, LC, Amicable Orthogonal Designs of Order 8 for Complex Space-Time Block Codes, Australasian Journal of Combinatorics, 34, 2006, 137-144.

Abstract

New amicable orthogonal designs AODs(8; 1; 1; 1; 2; 2; 2), AODs(8; 1; 1; 4; 1; 2; 2), AODs(8; 1; 2;2; 2; 2; 4), AODs(8; 1; 2; 2; 1; 2; 4), AODs(8; 1; 1; 2; 1; 2; 4), AODs(8; 1; 2; 4; 2; 2; 2), AODs(8; 1; 1; 4; 1; 1; 2; 2), AODs(8; 2; 2; 2; 2; 2; 2; 2; 2) and AODs(8; 1; 1; 1; 2; 1; 2; 2; 2) are found by applying a new theorem or by an exhaustive search. Also some previously undecided cases of amicable pairs are demonstrated to be non-existent after a complete search of the equivalence classes for orthogonal designs.