Bounds on Subspace Codes Based on Subspaces of Type (m,1) in Singular Linear Space
The Sphere-packing bound, Singleton bound, Wang-Xing-Safavi-Naini bound, Johnson bound, and Gilbert-Varshamov bound on the subspace codes n+l,M,d,(m,1)q based on subspaces of type (m,1) in singular linear space Fq(n+l) over finite fields Fq are presented. Then, we prove that codes based on subspaces...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/497958 |
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| author | You Gao Gang Wang |
| author_facet | You Gao Gang Wang |
| author_sort | You Gao |
| collection | DOAJ |
| description | The Sphere-packing bound, Singleton bound, Wang-Xing-Safavi-Naini bound, Johnson bound, and Gilbert-Varshamov bound on the subspace codes n+l,M,d,(m,1)q based on subspaces of type (m,1) in singular linear space Fq(n+l) over finite fields Fq are presented. Then, we prove that codes based on subspaces of type (m,1) in singular linear space attain the Wang-Xing-Safavi-Naini bound if and only if they are certain Steiner structures in Fq(n+l). |
| format | Article |
| id | doaj-art-b1d1d96e875c44bf8bce384ac85a31d5 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-b1d1d96e875c44bf8bce384ac85a31d52025-08-20T03:39:18ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/497958497958Bounds on Subspace Codes Based on Subspaces of Type (m,1) in Singular Linear SpaceYou Gao0Gang Wang1College of Science, Civil Aviation University of China, Tianjin 300300, ChinaCollege of Science, Civil Aviation University of China, Tianjin 300300, ChinaThe Sphere-packing bound, Singleton bound, Wang-Xing-Safavi-Naini bound, Johnson bound, and Gilbert-Varshamov bound on the subspace codes n+l,M,d,(m,1)q based on subspaces of type (m,1) in singular linear space Fq(n+l) over finite fields Fq are presented. Then, we prove that codes based on subspaces of type (m,1) in singular linear space attain the Wang-Xing-Safavi-Naini bound if and only if they are certain Steiner structures in Fq(n+l).http://dx.doi.org/10.1155/2014/497958 |
| spellingShingle | You Gao Gang Wang Bounds on Subspace Codes Based on Subspaces of Type (m,1) in Singular Linear Space Journal of Applied Mathematics |
| title | Bounds on Subspace Codes Based on Subspaces of Type (m,1) in Singular Linear Space |
| title_full | Bounds on Subspace Codes Based on Subspaces of Type (m,1) in Singular Linear Space |
| title_fullStr | Bounds on Subspace Codes Based on Subspaces of Type (m,1) in Singular Linear Space |
| title_full_unstemmed | Bounds on Subspace Codes Based on Subspaces of Type (m,1) in Singular Linear Space |
| title_short | Bounds on Subspace Codes Based on Subspaces of Type (m,1) in Singular Linear Space |
| title_sort | bounds on subspace codes based on subspaces of type m 1 in singular linear space |
| url | http://dx.doi.org/10.1155/2014/497958 |
| work_keys_str_mv | AT yougao boundsonsubspacecodesbasedonsubspacesoftypem1insingularlinearspace AT gangwang boundsonsubspacecodesbasedonsubspacesoftypem1insingularlinearspace |