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URN to cite this document: urn:nbn:de:bvb:703-epub-5712-1
Title data
Kurz, Sascha ; Landjev, Ivan ; Rousseva, Assia:
Classification of (3 mod 5) arcs in PG(3,5).
Bayreuth
,
2021
. - 33 S.
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Abstract
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: | Preprint, postprint |
|---|---|
| Keywords: | Projective geometries; optimal linear codes; quasidi-divisible arcs; (t mod q)-arcs; Griesmer bound |
| Subject classification: | Mathematics Subject Classification Code: 51E22 (51E21 94B05) |
| 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 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 |
| Language: | English |
| Originates at UBT: | Yes |
| URN: | urn:nbn:de:bvb:703-epub-5712-1 |
| Date Deposited: | 12 Aug 2021 09:02 |
| Last Modified: | 12 Aug 2021 09:02 |
| URI: | https://epub.uni-bayreuth.de/id/eprint/5712 |
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