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DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00008792
URN to cite this document: urn:nbn:de:bvb:703-epub-8792-5
URN to cite this document: urn:nbn:de:bvb:703-epub-8792-5
Title data
Kurz, Sascha ; Landjev, Ivan ; Rousseva, Assia:
Optimal codes and arcs for the generalized Hamming weights.
Bayreuth
,
2026
. - 27 S.
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Abstract
This text contains some notes on the Griesmer bound. In particular, we give a geometric proof of the Griesmer bound for the generalized weights and show that a Solomon-Stiffler type construction attains it if the minimum distance is sufficiently large. We also determine the parameters of optimal binary codes for dimensions at most seven and the optimal ternary codes for dimensions at most five.
Further data
| Item Type: | Preprint, postprint |
|---|---|
| Keywords: | linear codes; generalized Hamming weight; Galois geometry; additive codes; Griesmer bound |
| Subject classification: | Mathematics Subject Classification Code: 94B65 (94B05 51E22) |
| 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 > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics Faculties Faculties > Faculty of Mathematics, Physics und Computer Science |
| Language: | English |
| Originates at UBT: | Yes |
| URN: | urn:nbn:de:bvb:703-epub-8792-5 |
| Date Deposited: | 08 Jan 2026 14:51 |
| Last Modified: | 08 Jan 2026 14:52 |
| URI: | https://epub.uni-bayreuth.de/id/eprint/8792 |
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