Fast-decodable MIDO codes from non-associative algebras
Pumpluen, Susanne and Steele, Andrew (2015) Fast-decodable MIDO codes from non-associative algebras. International Journal of Information and Coding Theory, 3 (1). pp. 15-38. ISSN 1753-7711
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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.
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