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Generalized LMRD Code Bounds for Constant Dimension Codes.

Authors :
Kurz, Sascha
Source :
IEEE Communications Letters; Oct2020, Vol. 24 Issue 10, p2100-2103, 4p
Publication Year :
2020

Abstract

In random network coding so-called constant dimension codes (CDCs) are used for error correction and detection. Most of the largest known codes contain a lifted maximum rank distance (LMRD) code as a subset. For some special cases, Etzion and Silberstein have demonstrated that one can obtain tighter upper bounds on the maximum possible cardinality of CDCs if we assume that an LMRD code is contained. The range of applicable parameters was partially extended by Heinlein. Here we fully generalize those bounds, which also sheds some light on recent constructions. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10897798
Volume :
24
Issue :
10
Database :
Complementary Index
Journal :
IEEE Communications Letters
Publication Type :
Academic Journal
Accession number :
146394106
Full Text :
https://doi.org/10.1109/LCOMM.2020.3003132