A construction is discussed that allows to produce subspace codes of long length using subspace codes of shorter length in combination with a rank metric code. The subspace distance of the resulting linkage code is as good as the minimum subspace distance of the constituent codes. As a special application, the construction of the best known partial spreads is reproduced. Finally, for a special case of linkage, a decoding algorithm is presented which amounts to decoding with respect to the smaller constituent codes and which can be parallelized.
|Number of pages||16|
|Journal||Advances in Mathematics of Communications|
|State||Published - Aug 2016|
Bibliographical noteFunding Information:
The first author was partially supported by the National Science Foundation grant #DMS-1210061.
© 2016 AIMS.
- Constant dimension subspace codes
- Partial spreads
- Random network coding
ASJC Scopus subject areas
- Algebra and Number Theory
- Computer Networks and Communications
- Discrete Mathematics and Combinatorics
- Applied Mathematics