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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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Lengths of divisible codes with restricted column multiplicities. (deposited 31 Mar 2023 08:28)
- Lengths of divisible codes with restricted column multiplicities. (deposited 06 Nov 2023 07:13) [Currently Displayed]
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