Title: Fast-decodable MIDO codes from non-associative algebras

Authors: S. Pumplün; A. Steele

Addresses: School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK ' School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, 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.

Keywords: iterated space-time code constructions; non-associative division algebras; fast-decodable; rate n; MIDO codes; multiple-input-double-output.

DOI: 10.1504/IJICOT.2015.068695

International Journal of Information and Coding Theory, 2015 Vol.3 No.1, pp.15 - 38

Received: 12 Jul 2014
Accepted: 18 Sep 2014
Published online: 09 Apr 2015 *

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