Amicable orthogonal designs of order 8 for complex space-time block codes

Ying Zhao, Jennifer Seberry, Tianbing Xia, Yejing Wang, Beata J. Wysocki, Tadeusz A. Wysocki, Le Chung Tran

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6 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)137-144
Number of pages8
JournalAustralasian Journal of Combinatorics
Volume34
StatePublished - Dec 1 2006

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ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

Cite this

Zhao, Y., Seberry, J., Xia, T., Wang, Y., Wysocki, B. J., Wysocki, T. A., & Tran, L. C. (2006). Amicable orthogonal designs of order 8 for complex space-time block codes. Australasian Journal of Combinatorics, 34, 137-144.