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Lengths of divisible codes with restricted column multiplicities

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00007285
URN to cite this document: urn:nbn:de:bvb:703-epub-7285-9

Title data

Körner, Theresa ; Kurz, Sascha:
Lengths of divisible codes with restricted column multiplicities.
Bayreuth , 2023 . - 26 S.

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Abstract

We determine the minimum possible column multiplicity of even, doubly-, and triply-even codes given their length. This refines a classification result for the possible lengths of q^r-divisible codes over GF(q). We also give a few computational results for field sizes q>2. Non-existence results of divisible codes with restricted column multiplicities for a given length have applications e.g. in Galois geometry and can be used for upper bounds on the maximum cardinality of subspace codes.

Further data

Item Type: Preprint, postprint
Keywords: Divisible codes; linear codes; Galois geometry
Subject classification: Mathematics Subject Classification Code: 51E23 (05B40)
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:703-epub-7285-9
Date Deposited: 06 Nov 2023 07:13
Last Modified: 06 Nov 2023 07:13
URI: https://epub.uni-bayreuth.de/id/eprint/7285

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