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Strong (t mod q)-arcs in PG(k-1,q)

Title 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: Volltext

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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
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