Title
Subspace Polynomials and Cyclic Subspace Codes.
Abstract
Subspace codes have received an increasing interest recently due to their application in error correction for random network coding. In particular, cyclic subspace codes are possible candidates for large codes with efficient encoding and decoding algorithms. In this paper, we consider such cyclic codes and provide constructions of optimal codes for which their codewords do not have full orbits. We further introduce a new way to represent subspace codes by a class of polynomials called subspace polynomials. We present some constructions of such codes, which are cyclic and analyze their parameters.
Year
DOI
Venue
2014
10.1109/TIT.2016.2520479
IEEE Transactions on Information Theory
Keywords
Field
DocType
computer science,encoding,polynomials,network coding,decoding
Discrete mathematics,Combinatorics,Concatenated error correction code,Luby transform code,Cyclic subspace,Computer science,Block code,Serial concatenated convolutional codes,Expander code,Linear code,Reed–Muller code
Journal
Volume
Issue
ISSN
62
3
0018-9448
Citations 
PageRank 
References 
4
0.47
11
Authors
4
Name
Order
Citations
PageRank
Eli Ben-Sasson1164186.98
Tuvi Etzion258775.56
Ariel Gabizon315613.97
Netanel Raviv4459.40