The nonassociative algebras used to build fast-decodable space-time block codes

Let K/F and K/L be two cyclic Galois field extensions and D a cyclic algebra. Given an invertible element d in D, we present three families of unital nonassociative algebras defined on the direct sum of n copies of D. Two of these families appear either explicitly or implicitly in the designs of fas...

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Bibliographic Details
Main Authors: Pumpluen, Susanne, Steele, Andrew
Format: Article
Published: American Institute of Mathematical Sciences 2015
Subjects:
Online Access:https://eprints.nottingham.ac.uk/34232/