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Coset construction for subspace codes

Title data

Heinlein, Daniel ; Kurz, Sascha:
Coset construction for subspace codes.
Bayreuth , 2015 . - 17 p.

Official URL: Volltext

Project information

Project title:
Project's official titleProject's id
Ganzzahlige Optimierungsmodelle für Subspace Codes und endliche GeometrieNo information

Project financing: Deutsche Forschungsgemeinschaft

Abstract in another language

One of the main problems of the young research area of network coding is to compute good lower and upper bounds of the achievable so-called subspace codes in PG(n,q) for a given minimal distance. Here we generalize a construction of Etzion and Silberstein to a wide range of parameters. This construction, named coset construction, improves several of the previously best known subspace codes and attains the MRD bound for an infinite family of parameters.

Further data

Item Type: Preprint, postprint, working paper, discussion paper
Keywords: Constant dimension codes; subspace codes; subspace distance; Echelon-Ferrers construction
Subject classification: MSC: 05B25, 51E20 (51E22, 51E23)
Institutions of the University: Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics in Economy
Result of work at the UBT: Yes
DDC Subjects: 000 Computer Science, information, general works > 004 Computer science
500 Science > 510 Mathematics
Date Deposited: 16 Jan 2016 22:00
Last Modified: 20 Mar 2019 15:16
URI: https://eref.uni-bayreuth.de/id/eprint/29725