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The Geometry of (t mod q)-arcs

Title data

Kurz, Sascha ; Landjev, Ivan ; Pavese, Francesco ; Rousseva, Assia:
The Geometry of (t mod q)-arcs.
Bayreuth , 2022 . - 11 p.
DOI: https://doi.org/10.15495/EPub_UBT_00006776

Official URL: Volltext

Abstract in another language

In this paper, we give a geometric construction of the three strong non-lifted (3 mod 5)-arcs in PG(3,5) of respective sizes 128, 143, and 168, and construct an infinite family
of non-lifted, strong (t mod q)-arcs in PG(r,q) with t=(q+1)/2 for all r≥3 and all odd prime powers q.

Further data

Item Type: Preprint, postprint
Keywords: (t mod q)-arcs; linear codes; quadrics; caps; quasidivisible arcs; sets of type (m,n)
Subject classification: Mathematics Subject Classification Code: 51E22 (51E21 94B05)
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
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Result of work at the UBT: Yes
DDC Subjects: 000 Computer Science, information, general works > 004 Computer science
500 Science > 510 Mathematics
Date Deposited: 03 Dec 2022 22:00
Last Modified: 05 Dec 2022 07:44
URI: https://eref.uni-bayreuth.de/id/eprint/72956