How to obtain division algebras used for fast-decodable space-time block codes | Zendy

S. Pumplün | Zendy

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How to obtain division algebras used for fast-decodable space-time block codes

Author(s) -

S. Pumplün

Publication year - 2014

Publication title -

advances in mathematics of communications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.601

H-Index - 26

eISSN - 1930-5346

pISSN - 1930-5338

DOI - 10.3934/amc.2014.8.323

Subject(s) - mathematics , iterated function , division (mathematics) , division algebra , block (permutation group theory) , automorphism , simple (philosophy) , construct (python library) , block code , pure mathematics , discrete mathematics , combinatorics , algebra over a field , subalgebra , arithmetic , algorithm , decoding methods , mathematical analysis , programming language , philosophy , epistemology , computer science

We present families of unital algebras obtained through a doubling process from a cyclic central simple algebra D, employing a K-automorphism tau 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 (and codes) obtained from variations of this method

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