Construction of amicable orthogonal designs of quaternions

Authors

Ying Zhao, University of Wollongong
Jennifer SeberryFollow
Tianbing Xia, University of WollongongFollow
Beata J. Wysocki, University of WollongongFollow
Tadeusz A. Wysocki, University of WollongongFollow

RIS ID

27658

Publication Details

Zhao, Y., Seberry, J. R., Xia, T., Wysocki, B. J. & Wysocki, T. A. (2009). Construction of amicable orthogonal designs of quaternions. Australasian Journal of Combinatorics, 44 (June), 19-35.

Abstract

This paper introduces some construction methods for amicable orthogonal designs over the real and quaternion domains which have been explored for code design before. The proposed construction methods generate a large number of amicable orthogonal designs of quaternions can be used to construct restricted quaternion orthogonal designs which can be applied to orthogonal space-time polarization block codes for wireless communications.