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

Authors

Y. Zhao, University of WollongongFollow
Jennifer Seberry, University of WollongongFollow
Tianbing Xia, University of WollongongFollow
Y. Wang, University of Wollongong
Beata J. Wysocki, University of WollongongFollow
Tadeusz A. Wysocki, University of WollongongFollow
Le Chung Tran, University of WollongongFollow

RIS ID

17741

Publication Details

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.