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On conjugacy classes of subgroups of the general linear group and cyclic orbit codes


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.

Abstract

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.

Abstract

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.

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Additional indexing

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:11 Mar 2020 23:13
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)

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