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Classifying optimal binary subspace codes of length 8, constant dimension 4 and minimum distance 6

URN to cite this document: urn:nbn:de:bvb:703-epub-3464-3

Title data

Heinlein, Daniel ; Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
Classifying optimal binary subspace codes of length 8, constant dimension 4 and minimum distance 6.
Bayreuth , 2017 . - 16 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 maximum size A_2(8,6;4) of a binary subspace code of packet length v=8, minimum subspace distance d=6, and constant dimension k=4 is 257, where the 2 isomorphism types are extended lifted maximum rank distance codes. In Finite Geometry terms the maximum number of solids in PG(7,2), mutually intersecting in at most a point, is 257. The result was obtained by combining the classification of substructures with integer linear programming techniques. This implies that the maximum size A_2(8,6) of a binary mixed-dimension code of packet length 8 and minimum subspace distance 6 is also 257.

Further data

Item Type: Preprint, postprint
Keywords: constant dimension codes; integer linear programming
Subject classification: Mathematics Subject Classification Code: 51E20 (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-3464-3
Date Deposited: 21 Nov 2017 07:12
Last Modified: 18 Mar 2019 10:25
URI: https://epub.uni-bayreuth.de/id/eprint/3464

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