Fast-decodable MIDO codes from non-associative algebras
by S. Pumplün; A. Steele
International Journal of Information and Coding Theory (IJICOT), Vol. 3, No. 1, 2015

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.

Online publication date: Thu, 09-Apr-2015

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