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A characterization of cyclic subspace codes via subspace polynomials.

Authors :
Zhao, Wei
Tang, Xilin
Source :
Finite Fields & Their Applications. May2019, Vol. 57, p1-12. 12p.
Publication Year :
2019

Abstract

Abstract Subspace codes and particularly cyclic subspace codes have attracted a lot of research due to their applications in error correction for random network coding. In this paper, we explore the parameters of a class of the cyclic subspace codes whose subspace polynomials are more generalized. Therefore, some corollaries that extend the previously known results are obtained. Finally, a construction of k -dimensional cyclic subspace codes of size q N − 1 q − 1 and minimal distance 2 k − 2 is provided. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10715797
Volume :
57
Database :
Academic Search Index
Journal :
Finite Fields & Their Applications
Publication Type :
Academic Journal
Accession number :
135602267
Full Text :
https://doi.org/10.1016/j.ffa.2019.01.002