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Просмотр 2018 по автору "823fcdcc-18f6-4cd2-b19a-2fcdb37345a2"

Просмотр 2018 по автору "823fcdcc-18f6-4cd2-b19a-2fcdb37345a2"

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  • ALGORITHMIC PROCESSES OF THE LARGE NUMBERS FACTORIZATION BASED ON THE THEORY OF ELLIPTIC CURVES 
    Vostrov, G.; Dermenji, I.; Востров, Г. М.; Дерменжи, І. Д.; Востров, Г. Н.; Дерменжи, И. Д. (2018-04)
    In this article we consider the problem of the composite numbers factorization. Various methods for solving this problem were described and also their comparative characteristics were given. The Lenstra method algorithm ...
  • ANALYSIS AND DEVELOPMENT OF EXISTING ALGORITHMS FOR SOLVING THE DISCRETE LOGARITHM PROBLEM 
    Vostrov, G.; Bezrukova, Yu.; Востров, Г. М.; Безрукова, Ю. С.; Востров, Г. Н.; Безрукова, Ю. С. (2018-03)
    In this article we have described the object of the discrete logarithm problem and spelled out the ways of the discrete logarithm theory implementation. Also there is the analysis of some methods by indication of the ...
  • COMPUTER MODELING OF DYNAMIC PROCESSES IN ANALYTIC NUMBER THEORY 
    Vostrov, G.; Opiata, R.; Востров, Г. Н.; Опята, Р. Ю.; Востров, Г.М.; Опята, Р.Ю. (2018-05)
    In the work of computer simulation methods, the properties of prime numbers are investigated, as a dynamic evolving system. Methods for the classification of prime numbers based on Fermat's small theorem are constructed. ...
  • DYNAMIC PROCESSES OF HASH FUNCTION FORMATION IN A SYSTEM OF FINITE FIELDS 
    Vostrov, G.; Ponomarenko, O.; Востров, Г. М.; Пономаренко, О. Ю.; Востров, Г. Н.; Пономаренко, Е. Ю. (2018-04)
    The primary purpose of this article is the hash function formation based on the theory of finite fields. Standard cryptographic hash functions for digital signature algorithms were considered. The methods of hashing different ...
  • PSEUDORANDOM PROCESSES OF THE NUMBER SEQUENCE GENERATION 
    Vostrov, G.; Khrinenko, A.; Востров, Г. М.; Хріненко, А. О.; Востров, Г. Н.; Хриненко, А. О. (2018-04)
    This work investigates problems that occur in modeling of the nonlinear processes and number sequence generation. Dependences of iterative fixed points of nonlinear maps on the function properties and number properties ...