Fast-decodable MIDO codes from non-associative algebras

Pumpluen, Susanne; Steele, Andrew

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.

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

• 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
• DOI: https://doi.org/10.1504/IJICOT.2015.068695
• Keywords: Iterated space-time code constructions, nonassociative division algebras, fastdecodable, rate n, MIDO system
• Public URL: https://nottingham-repository.worktribe.com/output/992873
• Publisher URL: http://www.inderscience.com/offer.php?id=68695
• Contract Date: Jun 21, 2016