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No projective $16$-divisible binary linear code of length $131$ exists

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00004891
URN to cite this document: urn:nbn:de:bvb:703-epub-4891-4

Title data

Kurz, Sascha:
No projective $16$-divisible binary linear code of length $131$ exists.
Bayreuth , 2020 . - 4 S.

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Abstract

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: Preprint, postprint
Keywords: divisible codes; projective codes; partial spreads; constant-dimension codes
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 > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics > Chair Mathematical Economics - Univ.-Prof. Dr. Jörg Rambau
Faculties
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-4891-4
Date Deposited: 19 Jun 2020 08:10
Last Modified: 19 Jun 2020 08:10
URI: https://epub.uni-bayreuth.de/id/eprint/4891

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