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

Pumpluen, Susanne

Authors



Abstract

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.

Citation

Pumpluen, S. (2014). How to obtain division algebras used for fast-decodable space-time block codes. Advances in Mathematics of Communications, 8(3), https://doi.org/10.3934/amc.2014.8.323

Journal Article Type Article
Acceptance Date Apr 11, 2014
Publication Date Aug 1, 2014
Deposit Date Jun 21, 2016
Publicly Available Date Jun 21, 2016
Journal Advances in Mathematics of Communications
Print ISSN 1930-5346
Electronic ISSN 1930-5338
Publisher American Institute of Mathematical Sciences
Peer Reviewed Peer Reviewed
Volume 8
Issue 3
DOI https://doi.org/10.3934/amc.2014.8.323
Keywords Space-time block code, fast-decodable, asymmetric, non-associative division algebra, iterated code
Public URL http://eprints.nottingham.ac.uk/id/eprint/34231
Publisher URL http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=10204
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
Additional Information This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Advances in Mathematics of Communications following peer review. The definitive publisher-authenticated version, Pumpluen, Susanne, How to obtain division algebras used for fast-decodable space-time block codes, v. 8, no. 3, 2014, pp. 323-342 is available online at: http://www.aimsciences....snew.jsp?paperID=10204.

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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