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Subspaces intersecting in at most a point

Title data

Kurz, Sascha:
Subspaces intersecting in at most a point.
Bayreuth , 2019 . - 4 p.

Official URL: Volltext

Abstract in another language

We improve on the lower bound of the maximum number of planes in PG(8,q) pairwise intersecting in at most a point. In terms of constant dimension codes this leads to A<sub>q(9,4;3) ≥ q¹² + 2q⁸ + 2q⁷ + q⁶ + 2q⁵ + 2q⁴ - 2q² - 2q + 1. This result is obtained via a more general construction strategy, which also yields other improvements.

Further data

Item Type: Preprint, postprint
Keywords: constant dimension codes; finite projective geometry; network coding
Subject classification: Mathematics Subject Classification Code: 51E20 (05B25 94B65)
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics in Economy
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Result of work at the UBT: Yes
DDC Subjects: 000 Computer Science, information, general works > 004 Computer science
500 Science > 510 Mathematics
Date Deposited: 06 Jul 2019 21:00
Last Modified: 08 Jul 2019 05:30
URI: https://eref.uni-bayreuth.de/id/eprint/49875