at Google ScholarTitle data
Kurz, Sascha:
Codes of Nodal Sextics with Many Nodes.
In: Catanese, Fabrizio
(ed.):
Varieties of Nodal Surfaces, Coding Theory and Discriminants of Cubic Hypersurfaces. -
Cham
: Springer
,
2026
. - pp. 193-198
. - (Lecture Notes of the Unione Matematica Italiana
; 31
)
ISBN 978-3-032-05898-0
DOI: https://doi.org/10.1007/978-3-032-05899-7_5
Abstract in another language
Using a computer search the unique possible code for a sextic with 65 nodes is classified. More precisely, the known coding theoretic properties of the strict code leave three numerical candidates. Incorporating known facts about half-even sets of nodes, i.e. properties of the extended code, yields the Doro-Hall code described in Sect. 4.3 as the unique possibility. For a sextic surface with 64 nodes there remain five candidates.
Further data
| Item Type: | Article in a book |
|---|---|
| Refereed: | No |
| Keywords: | linear codes; sextics |
| 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: | 19 Jan 2026 11:39 |
| Last Modified: | 19 Jan 2026 11:39 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/95776 |