Bounds on Subspace Codes Based on Subspaces of Type (m,1) in Singular Linear Space
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-04
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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).
American Psychological Association (APA)
Gao, You& Wang, Gang. 2014. Bounds on Subspace Codes Based on Subspaces of Type (m,1) in Singular Linear Space. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-476443
Modern Language Association (MLA)
Gao, You& Wang, Gang. Bounds on Subspace Codes Based on Subspaces of Type (m,1) in Singular Linear Space. Journal of Applied Mathematics No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-476443
American Medical Association (AMA)
Gao, You& Wang, Gang. Bounds on Subspace Codes Based on Subspaces of Type (m,1) in Singular Linear Space. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-476443
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-476443