VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • On derivatives of planar mappings and their connections to complete mappings
    Muratović-Ribić, Amela ; Pašalić, Enes
    Given are necessary conditions for a permutation polynomial to be the derivative of a planar mapping. These conditions are not sufficient and there might exist permutation polynomials which are not ... derivatives of some planar mapping satisfying these conditions. For the first time we show that there is a close connection between two seemingly unrelated structures, namely planar and complete mappings. It is shown that any planar mapping induces a sequence of complete mappings having some additional interesting properties. Furthermore, a class of almost planar mappings over extension fields is introduced having the property that its derivatives are permutations in most of the cases. This class of functions then induces many infinite classes of complete mappings (permutations) as well.
    Vir: Discrete applied mathematics. - ISSN 0166-218X (Vol. 250, Dec. 2018, str. 285-290)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2018
    Jezik - angleški
    COBISS.SI-ID - 1540927940

    Povezava(-e):

    https://www.sciencedirect.com/science/article/pii/S0166218X18302439?via%3Dihub
    Repozitorij Univerze na Primorskem - RUP
    DOI

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