at Google ScholarTitle data
Kurz, Sascha ; Landjev, Ivan ; Rousseva, Assia:
Optimal codes and arcs for the generalized Hamming weights.
Bayreuth
,
2026
. - 27 p.
DOI: https://doi.org/10.15495/EPub_UBT_00008792
Official URL: 
Abstract in another language
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) |
| 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 |
| Result of work at the UBT: | Yes |
| DDC Subjects: | 000 Computer Science, information, general works > 004 Computer science 500 Science > 510 Mathematics |
| Date Deposited: | 10 Jan 2026 22:00 |
| Last Modified: | 12 Jan 2026 07:22 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/95571 |