at Google ScholarTitle data
Körner, Theresa ; Kurz, Sascha:
Lengths of divisible codes with restricted column multiplicities.
In: Advances in Mathematics of Communications.
Vol. 18
(2024)
Issue 2
.
- pp. 505-534.
ISSN 1930-5346
DOI: https://doi.org/10.3934/amc.2023050
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: | Article in a journal |
|---|---|
| Refereed: | Yes |
| 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 > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics |
| Result of work at the UBT: | Yes |
| DDC Subjects: | 000 Computer Science, information, general works > 004 Computer science 500 Science > 510 Mathematics |
| Date Deposited: | 23 Feb 2024 06:03 |
| Last Modified: | 23 Feb 2024 06:03 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/88683 |