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Fast-decodable MIDO codes from non-associative algebras

Pumpluen, Susanne; Steele, Andrew

Authors

Andrew Steele andrew.steele@aquaq.co.uk



Abstract

By defining a multiplication on a direct sum of n copies of a given cyclic division algebra, we obtain new unital non-associative algebras. We employ their left multiplication to construct rate-n and rate-2 fully diverse fast ML-decodable space-time block codes for a Multiple-Input-Double-Output (MIDO) system. We give examples of fully diverse rate-2 4×2, 6×2, 8×2 and 12×2 space-time block codes and of a rate-3 6×2 code. All are fast ML-decodable. Our approach generalises the iterated codes in Markin and Oggier.

Journal Article Type Article
Publication Date Jan 1, 2015
Journal International Journal of Information and Coding Theory
Print ISSN 1753-7703
Electronic ISSN 1753-7711
Publisher Inderscience
Peer Reviewed Peer Reviewed
Volume 3
Issue 1
APA6 Citation Pumpluen, S., & Steele, A. (2015). Fast-decodable MIDO codes from non-associative algebras. International Journal of Information and Coding Theory, 3(1), https://doi.org/10.1504/IJICOT.2015.068695
DOI https://doi.org/10.1504/IJICOT.2015.068695
Keywords Iterated space-time code constructions, nonassociative division algebras, fastdecodable, rate n, MIDO system
Publisher URL http://www.inderscience.com/offer.php?id=68695
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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