at Google ScholarTitle data
Kurz, Sascha ; Landjev, Ivan ; Rousseva, Assia:
Strong (t mod q)-arcs in PG(k-1,q).
2022
Event: Finite Geometries 2022 - Sixth Irsee Conference
, 28.08.-03.09.2022
, Irsee, Deutschland.
(Conference item: Workshop
,
Speech
)
Official URL: 
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Abstract in another language
Several extendability results for linear codes can be explained geometrically using the structure of so-called (strong) (t mod q) arcs in PG(k − 1, q). In this talk we provide a new classification theorem for strong (3 mod 5) arcs in PG(3, 5), where three examples disprove a conjecture of Landjev and Rousseva. The classification is used to show the non-existence of a [104, 4, 82]_5 code.
Further data
| Item Type: | Conference item (Speech) |
|---|---|
| Refereed: | No |
| Additional notes: | speaker: Sascha Kurz |
| Keywords: | linear codes; extendability results; arcs; finite geometry; Griesmer bound |
| Subject classification: | Mathematics Subject Classification Code: 51E22 (51E21 94B05) |
| 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 |
| Result of work at the UBT: | Yes |
| DDC Subjects: | 000 Computer Science, information, general works > 004 Computer science 500 Science > 510 Mathematics |
| Date Deposited: | 05 Oct 2022 07:45 |
| Last Modified: | 05 Oct 2022 07:45 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/72277 |