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Fast-decodable MIDO codes from non-associative algebras

Pumpluen, Susanne; Steele, Andrew


Andrew Steele


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.


Pumpluen, S., & Steele, A. (2015). Fast-decodable MIDO codes from non-associative algebras. International Journal of Information and Coding Theory, 3(1),

Journal Article Type Article
Acceptance Date Sep 7, 2014
Publication Date Jan 1, 2015
Deposit Date Jun 21, 2016
Publicly Available Date Jun 21, 2016
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
Keywords Iterated space-time code constructions, nonassociative division algebras, fastdecodable, rate n, MIDO system
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