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A subspace code of size 333 in the setting of a binary q-analog of the Fano plane

Title data

Heinlein, Daniel ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
A subspace code of size 333 in the setting of a binary q-analog of the Fano plane.
Bayreuth , 2018 . - 18 p.

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Official URL: Volltext

Project information

Project title:
Project's official title
Project's id
Ganzzahlige Optimierungsmodelle für Subspace Codes und endliche Geometrie
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Project financing: Deutsche Forschungsgemeinschaft

Abstract in another language

We show that there is a binary subspace code of constant dimension 3 in ambient dimension 7, having minimum distance 4 and cardinality 333,, which improves the previous best known lower bound of 329. Moreover, if a code with these parameters has at least 333 elements, its automorphism group is in 31 conjugacy classes. This is achieved by a more
general technique for an exhaustive search in a finite group that does not depend on the enumeration of all subgroups.

Further data

Item Type: Preprint, postprint
Keywords: Finite groups; finite projective spaces; constant dimension codes; subspace codes; subspace distance; combinatorics; computer search
Subject classification: Mathematics Subject Classification Code: 51E20 (05B07 11T71 94B25)
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 > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics and Didactics
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 06:52
Last Modified: 18 Jan 2019 12:40
URI: https://eref.uni-bayreuth.de/id/eprint/43989

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