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
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 |
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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 |