No Projective 16-Divisible Binary Linear Code of Length 131 Exists

Title data

Kurz, Sascha:
No Projective 16-Divisible Binary Linear Code of Length 131 Exists.
In: IEEE Communications Letters. Vol. 25 (2021) Issue 1 . - pp. 38-40.
ISSN 1558-2558
DOI: https://doi.org/10.1109/LCOMM.2020.3021939

Official URL:

Abstract in another language

We show that no projective 16-divisible binary linear code of length 131 exists. This implies several improved upper bounds for constant-dimension codes, used in random linear network coding, and partial spreads.

Further data

Item Type:	Article in a journal
Refereed:	Yes
Keywords:	Divisible codes; Projective codes; Partial spreads; Constant-dimension codes
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 Mathematical Economics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics > Chair Mathematical Economics - Univ.-Prof. Dr. Jörg Rambau 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:	12 Jan 2021 09:03
Last Modified:	15 Feb 2022 12:47
URI:	https://eref.uni-bayreuth.de/id/eprint/61631