at Google ScholarTitle data
Kurz, Sascha ; Landjev, Ivan ; Rousseva, Assia:
Classification of (3 mod 5) arcs in PG(3,5).
In: Advances in Mathematics of Communications.
Vol. 17
(2023)
Issue 1
.
- pp. 172-206.
ISSN 1930-5346
DOI: https://doi.org/10.3934/amc.2021066
Abstract in another language
The proof of the non-existence of Griesmer [104,4,82]_5-codes is just one of many examples where extendability results are used. In a series of papers Landjev and Rousseva have introduced the concept of (t mod q)-arcs as a general framework for extendability results for codes and arcs. Here we complete the known partial classification of (3 mod 5)-arcs in PG(3,5) and uncover two missing, rather exceptional, examples disproving a conjecture of Landjev and Rousseva. As also the original non-existence proof of Griesmer [104,4,82]_5-codes is affected, we present an extended proof to fill this gap.
Further data
| Item Type: | Article in a journal |
|---|---|
| Refereed: | Yes |
| Keywords: | Projective geometries; optimal linear codes; quasidi-divisible arcs; (t mod q)-arcs; 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: | 22 Dec 2022 06:25 |
| Last Modified: | 22 Dec 2022 06:25 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/73183 |