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Improved upper bounds for partial spreads

Title data

Kurz, Sascha:
Improved upper bounds for partial spreads.
Bayreuth , 2016 . - 8 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 partial (k-1)-spread} in PG(n-1,q) is a collection of (k-1)-dimensional subspaces with trivial intersection such that each point is covered at most once. So far the maximum size of a partial (k-1)-spread in PG(n-1,q) was know for the cases where n is congruent to 0 or 1 modulo k, and for the special case where n is congruent to 2 modulo k, but we additionally have q=2 and k=3. We completely resolve the case where n is congruent to 2 modulo k and q=2, i.e., the binary case.

Further data

Item Type: Preprint, postprint
Keywords: Galois geometry; partial spreads; constant dimension codes; vector space partitions; orthogonal arrays; (s,r,mu)-nets
Subject classification: MSC: 51E23 (05B15 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 in Economy
Faculties
Language: English
Originates at UBT: Yes
Date Deposited: 06 Jul 2016 09:53
Last Modified: 20 Mar 2019 11:18
URI: https://epub.uni-bayreuth.de/id/eprint/2926

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