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arXiv · 1205.5134

Iterated Space-Time Code Constructions from Cyclic Algebras

Nadya Markin·Frederique Oggier
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Abstract

We propose a full-rate iterated space-time code construction, to design 2n-dimensional codes from n-dimensional cyclic algebra based codes. We give a condition to determine whether the resulting codes satisfy the full-diversity property, and study their maximum likelihood decoding complexity with respect to sphere decoding. Particular emphasis is given to the cases n = 2, sometimes referred to as MIDO (multiple input double output) codes, and n = 3. In the process, we derive an interesting way of obtaining division algebras, and study their center and maximal subfield.

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Nadya Markin, Frederique Oggier. 2013-03-11. Iterated Space-Time Code Constructions from Cyclic Algebras. https://arxiv.org/abs/1205.5134

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