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- W762550807 abstract "Let $K/F$ and $K/L$ be two cyclic Galois field extensions and $D=(K/F,sigma,c)$ a cyclic algebra. Given aninvertible element $din D$,we present three families of unital nonassociative algebras over $Lcap F$ definedon the direct sum of $n$ copies of $D$.Two of these families appear either explicitly or implicitly in the designs of fast-decodable space-time block codesin papersby Srinath, Rajan, Markin, Oggier, and the authors.We present conditions for the algebras to be division and propose a construction for fully diverse fast decodable space-time block codes of rate-$m$ for $nm$ transmit and $m$ receive antennas.We present a DMT-optimal rate-3 code for 6 transmit and 3 receive antennas which is fast-decodable,with ML-decoding complexityat most $mathcal{O}(M^{15})$." @default.
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- W762550807 date "2015-11-01" @default.
- W762550807 modified "2023-09-29" @default.
- W762550807 title "The nonassociative algebras used to build fast-decodable space-time block codes" @default.
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- W762550807 doi "https://doi.org/10.3934/amc.2015.9.449" @default.
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