Fast-decodable MIDO codes from non-associative algebras
By defining a multiplication on a direct sum of n copies of a given cyclic division algebra, we obtain new unital non-associative algebras. We employ their left multiplication to construct rate-n and rate-2 fully diverse fast ML-decodable space-time block codes for a Multiple-Input-Double-Output (MI...
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| Format: | Article |
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Inderscience Publishers
2015
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| Online Access: | https://eprints.nottingham.ac.uk/34234/ |
| _version_ | 1848794804083752960 |
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| author | Pumpluen, Susanne Steele, Andrew |
| author_facet | Pumpluen, Susanne Steele, Andrew |
| author_sort | Pumpluen, Susanne |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | By defining a multiplication on a direct sum of n copies of a given cyclic division algebra, we obtain new unital non-associative algebras. We employ their left multiplication to construct rate-n and rate-2 fully diverse fast ML-decodable space-time block codes for a Multiple-Input-Double-Output (MIDO) system. We give examples of fully diverse rate-2 4×2, 6×2, 8×2 and 12×2 space-time block codes and of a rate-3 6×2 code. All are fast ML-decodable. Our approach generalises the iterated codes in Markin and Oggier. |
| first_indexed | 2025-11-14T19:22:00Z |
| format | Article |
| id | nottingham-34234 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:22:00Z |
| publishDate | 2015 |
| publisher | Inderscience Publishers |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-342342020-05-04T20:11:44Z https://eprints.nottingham.ac.uk/34234/ Fast-decodable MIDO codes from non-associative algebras Pumpluen, Susanne Steele, Andrew By defining a multiplication on a direct sum of n copies of a given cyclic division algebra, we obtain new unital non-associative algebras. We employ their left multiplication to construct rate-n and rate-2 fully diverse fast ML-decodable space-time block codes for a Multiple-Input-Double-Output (MIDO) system. We give examples of fully diverse rate-2 4×2, 6×2, 8×2 and 12×2 space-time block codes and of a rate-3 6×2 code. All are fast ML-decodable. Our approach generalises the iterated codes in Markin and Oggier. Inderscience Publishers 2015 Article PeerReviewed Pumpluen, Susanne and Steele, Andrew (2015) Fast-decodable MIDO codes from non-associative algebras. International Journal of Information and Coding Theory, 3 (1). pp. 15-38. ISSN 1753-7711 Iterated space-time code constructions nonassociative division algebras fastdecodable rate n MIDO system http://www.inderscience.com/offer.php?id=68695 doi:10.1504/IJICOT.2015.068695 doi:10.1504/IJICOT.2015.068695 |
| spellingShingle | Iterated space-time code constructions nonassociative division algebras fastdecodable rate n MIDO system Pumpluen, Susanne Steele, Andrew Fast-decodable MIDO codes from non-associative algebras |
| title | Fast-decodable MIDO codes from non-associative algebras |
| title_full | Fast-decodable MIDO codes from non-associative algebras |
| title_fullStr | Fast-decodable MIDO codes from non-associative algebras |
| title_full_unstemmed | Fast-decodable MIDO codes from non-associative algebras |
| title_short | Fast-decodable MIDO codes from non-associative algebras |
| title_sort | fast-decodable mido codes from non-associative algebras |
| topic | Iterated space-time code constructions nonassociative division algebras fastdecodable rate n MIDO system |
| url | https://eprints.nottingham.ac.uk/34234/ https://eprints.nottingham.ac.uk/34234/ https://eprints.nottingham.ac.uk/34234/ |