How to obtain division algebras used for fast decodable space-time
block codes
We present families of unital algebras obtained through a doubling
process from a cyclic central simple algebra D = (K/F, σ, c), employing a
K-automorphism τ and an invertible element d in D. These algebras appear in the
construction of iterated space-time block codes. We give conditions when these
iterated algebras are division which can be used to construct fully diverse
iterated codes. We also briefly look at algebras obtained from variations of
this method.
(New version 26 Jul 2013)
S. Pumpluen < susanne.pumpluen@nottingham.ac.uk >