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Tables of subspace codes

URN to cite this document: urn:nbn:de:bvb:703-epub-3534-2

Title data

Heinlein, Daniel ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
Tables of subspace codes.
Bayreuth , 2017 . - 39 S.

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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

The 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: Preprint, postprint
Keywords: Galois geometry; subspace codes; partial spreads; constant dimension codes
Subject classification: Mathematics Subject Classification Code: 51E23 (05B40 11T71 94B25)
DDC Subjects: 000 Computer Science, information, general works > 004 Computer science
500 Science > 510 Mathematics
Institutions of the University: 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 and Didactics
Faculties
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-3534-2
Date Deposited: 14 Dec 2017 08:11
Last Modified: 18 Mar 2019 10:23
URI: https://epub.uni-bayreuth.de/id/eprint/3534

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