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Improved bounds and classification results for binary subspace codes

Title data

Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha:
Improved bounds and classification results for binary subspace codes.
2015
Event: 7th Workshop on Coding and Systems , 01.-03.07.2015 , Salamanca, Spain.
(Conference item: Workshop , Speech )

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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

In contrast to constant dimension codes the dimensions of the codewords can be arbitrary for so-called subspace codes.
We consider binary subspace codes. Given the dimension $n$ of the ambient space $\mathbb{F}_2^n$ and the subspace distance $d$ the question for the maximal cardinality $A_2^S(n,d;[0,n])$ arises. We provide improved bounds and classification results for the extremal subspace codes. In particular we show $A_2^S(7,5;[0,7])=34$, which closes a gap, and classify all optimal codes up to isomorphism.

Further data

Item Type: Conference item (Speech)
Refereed: No
Additional notes: Speaker: Sascha Kurz
Keywords: coding; network coding; bounds; subspace codes
Subject classification: MSC: 94B05; 05B25; 51E20
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 II
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics in Economy
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics in Economy > Chair Mathematics in Economy - Univ.-Prof. Dr. Jörg Rambau
Result of work at the UBT: Yes
DDC Subjects: 000 Computer Science, information, general works > 004 Computer science
500 Science > 510 Mathematics
Date Deposited: 21 Jul 2015 09:25
Last Modified: 02 Jul 2018 08:54
URI: https://eref.uni-bayreuth.de/id/eprint/16866