Cyclic Orbit Codes with the Normalizer of a Singer Subgroup
An algebraic construction for constant dimension subspace codes is called orbit code. It arises as the orbits under the action of a subgroup of the general linear group on subspaces in an ambient space. In particular orbit codes of a Singer subgroup of the general linear group has investigated recen...
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| Format: | Article |
| Language: | English |
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University of Tehran
2015-03-01
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| Series: | Journal of Sciences, Islamic Republic of Iran |
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| Online Access: | https://jsciences.ut.ac.ir/article_53218_9e90952ed9687c3f1593c9f316e0df31.pdf |
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| author | F. Bardestani A. Iranmanesh |
| author_facet | F. Bardestani A. Iranmanesh |
| author_sort | F. Bardestani |
| collection | DOAJ |
| description | An algebraic construction for constant dimension subspace codes is called orbit code. It arises as the orbits under the action of a subgroup of the general linear group on subspaces in an ambient space. In particular orbit codes of a Singer subgroup of the general linear group has investigated recently. In this paper, we consider the normalizer of a Singer subgroup of the general linear group and its orbit codes. Several properties of these codes are considered. |
| format | Article |
| id | doaj-art-5f950f5ffdd04e09a6a153aae78668f5 |
| institution | OA Journals |
| issn | 1016-1104 2345-6914 |
| language | English |
| publishDate | 2015-03-01 |
| publisher | University of Tehran |
| record_format | Article |
| series | Journal of Sciences, Islamic Republic of Iran |
| spelling | doaj-art-5f950f5ffdd04e09a6a153aae78668f52025-08-20T01:53:00ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69142015-03-01261495553218Cyclic Orbit Codes with the Normalizer of a Singer SubgroupF. Bardestani0A. Iranmanesh1Department of pure Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, Islamic Republic of IranDepartment of pure Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, Islamic Republic of IranAn algebraic construction for constant dimension subspace codes is called orbit code. It arises as the orbits under the action of a subgroup of the general linear group on subspaces in an ambient space. In particular orbit codes of a Singer subgroup of the general linear group has investigated recently. In this paper, we consider the normalizer of a Singer subgroup of the general linear group and its orbit codes. Several properties of these codes are considered.https://jsciences.ut.ac.ir/article_53218_9e90952ed9687c3f1593c9f316e0df31.pdflinear network codingconstant dimension codesgroup actionorbit codes |
| spellingShingle | F. Bardestani A. Iranmanesh Cyclic Orbit Codes with the Normalizer of a Singer Subgroup Journal of Sciences, Islamic Republic of Iran linear network coding constant dimension codes group action orbit codes |
| title | Cyclic Orbit Codes with the Normalizer of a Singer Subgroup |
| title_full | Cyclic Orbit Codes with the Normalizer of a Singer Subgroup |
| title_fullStr | Cyclic Orbit Codes with the Normalizer of a Singer Subgroup |
| title_full_unstemmed | Cyclic Orbit Codes with the Normalizer of a Singer Subgroup |
| title_short | Cyclic Orbit Codes with the Normalizer of a Singer Subgroup |
| title_sort | cyclic orbit codes with the normalizer of a singer subgroup |
| topic | linear network coding constant dimension codes group action orbit codes |
| url | https://jsciences.ut.ac.ir/article_53218_9e90952ed9687c3f1593c9f316e0df31.pdf |
| work_keys_str_mv | AT fbardestani cyclicorbitcodeswiththenormalizerofasingersubgroup AT airanmanesh cyclicorbitcodeswiththenormalizerofasingersubgroup |