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Manganiello, F; Trautmann, A L; Rosenthal, J (2011). On conjugacy classes of subgroups of the general linear group and cyclic orbit codes. In: IEEE. IEEE International Symposium on Information Theory proceedings (ISIT), 2011 : July 31, 2011 - Aug. 5, 2011, St. Petersburg, Russia. Piscataway, NJ, US: IEEE, 1916-1920.
Orbit codes are a family of codes employable for communications on a random linear network coding channel. The paper focuses on the classification of these codes. We start by classifying the conjugacy classes of cyclic subgroups of the general linear group. As a result, we are able to focus the study of cyclic orbit codes to a restricted family of them.
| Item Type: | Book Section, not_refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Theoretical Computer Science
Physical Sciences > Information Systems Physical Sciences > Modeling and Simulation Physical Sciences > Applied Mathematics |
| Language: | English |
| Date: | 3 October 2011 |
| Deposited On: | 23 Feb 2012 20:39 |
| Last Modified: | 20 Oct 2024 03:36 |
| Publisher: | IEEE |
| ISBN: | 978-1-4577-0596-0 (P) 978-1-4577-0594-6 (E) |
| Additional Information: | © 2011 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1109/ISIT.2011.6033885 |
| Related URLs: | http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=6026198 (Publisher) |
Manganiello, F