Title data
Heinlein, Daniel ; Kurz, Sascha:
A new upper bound for subspace codes.
Bayreuth
,
2017
.  9 S.


Download (304kB)

Project information
Project title: 
Project's official title Project's id Integer Linear Programming Models for Subspace Codes and Finite Geometry No information 

Project financing: 
Deutsche Forschungsgemeinschaft 
Abstract
It is shown that the maximum size A_2(8,6;4) of a binary subspace code of packet length v=8, minimum subspace distance d=4, and constant dimension k=4 is at most 272. In Finite Geometry terms, the maximum number of solids in PG(7,2), mutually intersecting in at most a point, is at most 272. Previously, the best known upper bound A_2(8,6;4)<= 289 was implied by the Johnson bound and the maximum size A_2(7,6;3)=17 of partial plane spreads in PG(6,2). The result was obtained by combining the classification of subspace codes with parameters (7,17,6;3)_2 and (7,34,5;{3,4})_2 with integer linear programming techniques. The classification of (7,33,5;{3,4})_2 subspace codes is obtained as a byproduct.
Further data
Item Type:  Preprint, postprint 

Keywords:  subspace codes; network coding; constant dimension codes; subspace distance; integer linear programming; partial spreads 
Subject classification:  Mathematics Subject Classification Code: 51E23 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 Mathematical Economics Faculties 
Language:  English 
Originates at UBT:  Yes 
URN:  urn:nbn:de:bvb:703epub32599 
Date Deposited:  28 Mar 2017 05:18 
Last Modified:  18 Mar 2019 14:19 
URI:  https://epub.unibayreuth.de/id/eprint/3259 