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

Research output: Contribution to journalArticlepeer-review

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 - 2006
Externally publishedYes

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

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