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Перегляд Відділення математики за автором "Ustimenko, V."

Репозиторій DSpace/Manakin

Перегляд Відділення математики за автором "Ustimenko, V."

Сортувати за: Порядок: Результатів:

  • Bounds for graphs of given girth and generalized polygons 
    Benkherouf, L.; Ustimenko, V. (Algebra and Discrete Mathematics, 2002)
    In this paper we present a bound for bipartite graphs with average bidegrees η and ξ satisfying the inequality η ≥ ξ α, α ≥ 1. This bound turns out to be the sharpest existing bound. Sizes of known families of finite ...
  • On algebraic graph theory and non-bijective multivariate maps in cryptography 
    Ustimenko, V. (Algebra and Discrete Mathematics, 2015)
    Special family of non-bijective multivariate maps Fn of Zmⁿ into itself is constructed for n=2,3,… and composite m. The map Fn is injective on Ωn={x|x₁+x₂+…xn ∈ Zm∗} and solution of the equation Fn(x)=b,x∈Ωn can be reduced ...
  • On algebraic graph theory and non-bijectivemultivariate maps in cryptography 
    Ustimenko, V. (Algebra and Discrete Mathematics, 2015)
    Special family of non-bijective multivariate maps Fn of Zmⁿ into itself is constructed for n = 2,3, ... and composite m.The map F is injective on Ωn = {x|x1+x2+: : : xn ∈ Zm*} and solution of the equation Fn(x) = b, x ∈ ...
  • On new multivariate cryptosystems with nonlinearity gap 
    Ustimenko, V. (Algebra and Discrete Mathematics, 2017)
    The pair of families of bijective multivariate maps of kind Fn and Fn⁻¹ on affine space Kⁿ over finite commutative ring K given in their standard forms has a nonlinearity gap if the degree of Fn is bounded from above by ...
  • On small world non-Sunada twins and cellular Voronoi diagrams 
    Ustimenko, V. (Algebra and Discrete Mathematics, 2020)
    Special infinite families of regular graphs of unbounded degree and of bounded diameter (small world graphs) are considered. Two families of small world graphs Gi and Hi form a family of non-Sunada twins if Gi and Hi are ...
  • On the flag geometry of simple group of Lie type and multivariate cryptography 
    Ustimenko, V. (Algebra and Discrete Mathematics, 2015)
    We propose some multivariate cryptosystems based on finite BN-pair G defined over the fields Fq. We convert the adjacency graph for maximal flags of the geometry of group G into a finite Tits automaton by special colouring ...
  • On two windows multivariate cryptosystem depending on random parameters 
    Romańczuk-Polubiec, U.; Ustimenko, V. (Algebra and Discrete Mathematics, 2015)
    The concept of multivariate bijective map of an affine space Kn over commutative Ring K was already used in Cryptography. We consider the idea of nonbijective multivariate polynomial map Fn of Kn into Kn represented as ...
  • The International Algebraic Conference dedicated to the 100th anniversary of L.A. Kaluzhnin 
    Drozd, Yu.; Kirichenko, V.; Petravchuk, A.; Sushchansky, V.; Ustimenko, V. (Algebra and Discrete Mathematics, 2015)
    The International Algebraic Conference dedicated to the 100th anniversary of an outstanding mathematician and teacher, the founder of Algebra and Mathematical Logic Department of Taras Shevchenko National University of ...

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