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Computer Science and Education in Computer Science. 20th EAI International Conference, CSECS 2024, Sofia, Bulgaria, June 28–30, 2024, Proceedings

Research Article

Quadratic Sets and\((3\mod 5)\)-Arcs in\(\operatorname {PG}(r,5)\)

Cite
BibTeX Plain Text
  • @INPROCEEDINGS{10.1007/978-3-031-84312-9_6,
        author={Ivan Landjev and Sascha Kurz and Assia Rousseva},
        title={Quadratic Sets and\textbackslash((3\textbackslashmod 5)\textbackslash)-Arcs in\textbackslash(\textbackslashoperatorname \{PG\}(r,5)\textbackslash)},
        proceedings={Computer Science and Education in Computer Science. 20th EAI International Conference, CSECS 2024, Sofia, Bulgaria, June 28--30, 2024, Proceedings},
        proceedings_a={CSECS},
        year={2025},
        month={3},
        keywords={(
                    
                    
                    
                  )-arcs quadrics divisible arcs},
        doi={10.1007/978-3-031-84312-9_6}
    }
    
  • Ivan Landjev
    Sascha Kurz
    Assia Rousseva
    Year: 2025
    Quadratic Sets and\((3\mod 5)\)-Arcs in\(\operatorname {PG}(r,5)\)
    CSECS
    Springer
    DOI: 10.1007/978-3-031-84312-9_6
Ivan Landjev1,*, Sascha Kurz2, Assia Rousseva3
  • 1: Bulgarian Academy of Sciences, Institute of Mathematics and Informatics, 8 Acad G. Bonchev str.
  • 2: Mathematisches Institut, Universität Bayreuth
  • 3: Faculty of Mathematics and Informatics, Sofia University, 5 J. Bourchier blvd.
*Contact email: ivan@math.bas.bg

Abstract

To goal of this contribution is to provide a characterization of the((3\mod 5))-arcs in(\operatorname {PG}(r,5)),(r\ge 4). Such arcs are either lifted or quadratic and by a construction described by Kurz-Landjev-Pavese-Rousseva.

Keywords
( )-arcs quadrics divisible arcs
Published
2025-03-14
Appears in
SpringerLink
http://dx.doi.org/10.1007/978-3-031-84312-9_6
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