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Lengths of divisible codes with restricted column multiplicities

Title data

Körner, Theresa ; Kurz, Sascha:
Lengths of divisible codes with restricted column multiplicities.
Bayreuth , 2023 . - 26 p.
DOI: https://doi.org/10.15495/EPub_UBT_00007285

Official URL: Volltext

Abstract in another language

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)
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
Result of work at the UBT: Yes
DDC Subjects: 000 Computer Science, information, general works > 004 Computer science
500 Science > 510 Mathematics
Date Deposited: 11 Nov 2023 22:01
Last Modified: 13 Nov 2023 07:54
URI: https://eref.uni-bayreuth.de/id/eprint/87702