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

Pumpluen, Susanne (2014) How to obtain division algebras used for fast-decodable space-time block codes. Advances in Mathematics of Communications, 8 (3). pp. 323-342. ISSN 1930-5338

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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.

Item Type: Article
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.org/journals/displayArticlesnew.jsp?paperID=10204.
Keywords: Space-time block code, fast-decodable, asymmetric, non-associative division algebra, iterated code
Schools/Departments: University of Nottingham UK Campus > Faculty of Science > School of Mathematical Sciences
Identification Number: https://doi.org/10.3934/amc.2014.8.323
Depositing User: Pumpluen, Susanne
Date Deposited: 21 Jun 2016 08:24
Last Modified: 24 Sep 2016 16:31
URI: http://eprints.nottingham.ac.uk/id/eprint/34231

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