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  • Eggs in finite projective spaces and unitals in translation planes
    Monzillo, Giusy ; Penttila, Tim ; Siciliano, Alessandro
    Inspired by the connection between ovoids and unitals arising from the Buekenhout construction in the André/Bruck-Bose representation of translation planes of dimension at most two over their kernel, ... and since eggs of PG(4m − 1, q), m ≥ 1, are a generalization of ovoids, we explore the relation between eggs and unitals in translation planes of higher dimension over their kernel. By investigating such a relationship, we construct a unital in the Dickson semifield plane of order 310, which is represented in PG(20, 3) by a cone whose base is a set of points constructed from the dual of the Penttila-Williams egg in PG(19, 3). This unital is not polar; so, up to the knowledge of the authors, it seems to be a new unital in such a plane.
    Vir: Designs, codes and cryptography. - ISSN 0925-1022 (Vol. 91, 2023, str. 1475–1485)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2023
    Jezik - angleški
    COBISS.SI-ID - 136646659

    Povezava(-e):

    https://link.springer.com/article/10.1007/s10623-022-01162-9
    https://doi.org/10.1007/s10623-022-01162-9
    DOI

vir: Designs, codes and cryptography. - ISSN 0925-1022 (Vol. 91, 2023, str. 1475–1485)

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