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Classification of large partial plane spreads in PG(6,2) and related combinatorial objects

Title data

Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha:
Classification of large partial plane spreads in PG(6,2) and related combinatorial objects.
Bayreuth , 2018 . - 31 p.

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Project information

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Ganzzahlige Optimierungsmodelle für Subspace Codes und endliche Geometrie
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Project financing: Deutsche Forschungsgemeinschaft

Abstract in another language

In this article, the partial plane spreads in PG(6,2) of maximum possible size 17 and of size 16 are classified.
Based on this result, we obtain the classification of the following closely related combinatorial objects:
Vector space partitions of PG(6,2) of type (3^{16} 4^1), binary 3x4 MRD codes of minimum rank distance 3, and subspace codes with parameters (7,17,6)_2 and (7,34,5)_2.

Further data

Item Type: Preprint, postprint
Keywords: partial spreads; MRD codes; vector space partitions
Subject classification: Mathematics Subject Classification Code: 05B25 15A21 51E14 (20B25 51E20 94B60)
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 (Computer Algebra)
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics
Faculties
Result of work at the UBT: Yes
DDC Subjects: 000 Computer Science, information, general works > 004 Computer science
500 Science > 510 Mathematics
Date Deposited: 03 May 2018 06:59
Last Modified: 18 Mar 2019 08:56
URI: https://eref.uni-bayreuth.de/id/eprint/43990

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