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Tables of Subspacecodes

Title data

Heinlein, Daniel ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
Tables of Subspacecodes.
2018
Event: Munich Workshop on Coding and Cryptography 2018 , 10.-11.04.2018 , München.
(Conference item: Workshop , Poster )

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

A main problem of subspace coding asks for the maximum possible cardinality of a subspace code with minimum distance at least d over the n-dimensional vector space of the finite field with q elements, where the dimensions of the codewords, which are vector spaces, are contained in {0,1,...,n}. In the special case of K={k} one speaks of constant dimension codes. Since this emerging field is very prosperous on the one hand side and there are a lot of connections to classical objects from Galois geometry it is a bit difficult to keep or to obtain an overview about the current state of knowledge. To this end we have implemented an on-line database of the (at least to us) known results at subspacecodes.uni-bayreuth.de. The aim of this recurrently updated technical report is to provide a user guide how this technical tool can be used in research projects and to describe the so far implemented theoretic and algorithmic knowledge.

Further data

Item Type: Conference item (Poster)
Refereed: No
Additional notes: Speaker: Sascha Kurz
Keywords: Galois geometry; subspace codes; partial spreads; constant dimension 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 09:28
Last Modified: 01 Mar 2018 09:28
URI: https://eref.uni-bayreuth.de/id/eprint/42456