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A new upper bound for subspace codes

URN to cite this document: urn:nbn:de:bvb:703-epub-3259-9

Title data

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

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Integer Linear Programming Models for Subspace Codes and Finite Geometry
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Project financing: Deutsche Forschungsgemeinschaft


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
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-3259-9
Date Deposited: 28 Mar 2017 05:18
Last Modified: 18 Mar 2019 14:19


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