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Generalized vector space partitions

URN to cite this document: urn:nbn:de:bvb:703-epub-4097-5

Title data

Heinlein, Daniel ; Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha:
Generalized vector space partitions.
Bayreuth , 2019 . - 12 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

A vector space partition P in GF(q)^v is a set of subspaces such that every 1-dimensional subspace of GF(q)^v is contained in exactly one element of P. Replacing "every point" by "every t-dimensional subspace", we generalize this notion to vector space t-partitions and study their properties. There is a close connection to subspace codes and some problems are even interesting and unsolved for the set case q=1.

Further data

Item Type: Preprint, postprint
Keywords: Galois geometry; partial spreads; constant-dimension codes; subspace codes; $q$-analogs; pairwise balanced designs; vector space partitions
Subject classification: Mathematics Subject Classification Code: 51E23 (05B40)
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
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-4097-5
Date Deposited: 17 Jan 2019 10:01
Last Modified: 27 Mar 2019 13:55
URI: https://epub.uni-bayreuth.de/id/eprint/4097

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