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, 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 alg...
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| Format: | Article |
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American Institute of Mathematical Sciences
2014
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| Online Access: | https://eprints.nottingham.ac.uk/34231/ |
| _version_ | 1848794803539542016 |
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| author | Pumpluen, Susanne |
| author_facet | Pumpluen, Susanne |
| author_sort | Pumpluen, Susanne |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:22:00Z |
| format | Article |
| id | nottingham-34231 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:22:00Z |
| publishDate | 2014 |
| publisher | American Institute of Mathematical Sciences |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-342312020-05-04T16:50:08Z https://eprints.nottingham.ac.uk/34231/ How to obtain division algebras used for fast-decodable space-time block codes Pumpluen, Susanne 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. American Institute of Mathematical Sciences 2014-08-01 Article PeerReviewed 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 Space-time block code fast-decodable asymmetric non-associative division algebra iterated code http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=10204 doi:10.3934/amc.2014.8.323 doi:10.3934/amc.2014.8.323 |
| spellingShingle | Space-time block code fast-decodable asymmetric non-associative division algebra iterated code Pumpluen, Susanne How to obtain division algebras used for fast-decodable space-time block codes |
| title | How to obtain division algebras used for fast-decodable space-time block codes |
| title_full | How to obtain division algebras used for fast-decodable space-time block codes |
| title_fullStr | How to obtain division algebras used for fast-decodable space-time block codes |
| title_full_unstemmed | How to obtain division algebras used for fast-decodable space-time block codes |
| title_short | How to obtain division algebras used for fast-decodable space-time block codes |
| title_sort | how to obtain division algebras used for fast-decodable space-time block codes |
| topic | Space-time block code fast-decodable asymmetric non-associative division algebra iterated code |
| url | https://eprints.nottingham.ac.uk/34231/ https://eprints.nottingham.ac.uk/34231/ https://eprints.nottingham.ac.uk/34231/ |