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q-Analoga von Designs, Subspace Codes und verwandte Objekte

Title data

Heinlein, Daniel ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
q-Analoga von Designs, Subspace Codes und verwandte Objekte.
2018
Event: Gemeinsame Jahrestagung GDMV 2018 , 05.-09.03.2018 , Paderborn.
(Conference item: Conference , Speech )

Official URL: Volltext

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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 the 1970s, Ray-Chaudhuri, Cameron and Delsarte independently introduced q-analogs of designs. It turns out that a subclass - namely q-analogs of Steiner systems
- are the best possible constant-dimension subspace codes for random network coding (see Kötter, Kschischang 2008). This is analog to the situation in “classical” coding
theory, where (combinatorial) Steiner systems are the best possible constant-weight codes for a given length and minimum distance. In this talk we will give an introduction to the subject and survey recent developments in q-analogs of designs and subspace codes. Further, we will point out connections to finite geometry and other areas in coding theory. For an in-depth introduction see also the forthcoming book by Greferath, M., Pavčević, M.O., Silberstein, N., Vázquez-Castro, M.Á. (Eds.): Network Coding and Subspace Designs, Springer (2018).

Further data

Item Type: Conference item (Speech)
Refereed: No
Additional notes: Speaker: Alfred Wassermann
Keywords: q-analogs; Designs; constant-dimension codes; random network coding; subspace codes
Subject classification: Mathematics Subject Classification Code: 51E23 (05B40 11T71 94B25)
Institutions of the University: 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 and Didactics
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Result of work at the UBT: Yes
DDC Subjects: 000 Computer Science, information, general works > 004 Computer science
500 Science > 510 Mathematics
Date Deposited: 01 Mar 2018 09:24
Last Modified: 01 Mar 2018 09:24
URI: https://eref.uni-bayreuth.de/id/eprint/42455