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Probl. Peredachi Inf., 2003, Volume 39, Issue 1, Pages 103–117 (Mi ppi208)  

This article is cited in 4 papers


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One-Way Functions

L. A. Levin


Abstract: The existence of one-way functions (owf) is arguably the most important problem in computer theory. The article discusses and refines a number of concepts relevant to this problem. For instance, it gives the first combinatorial complete owf, i.e., a function which is one-way if any function is. There are surprisingly many subtleties in basic definitions. Some of these subtleties are discussed or hinted at in the literature and some are overlooked. Here, a unified approach is attempted.

UDC: 621.391:519.2

Citation: L. A. Levin, “One-Way Functions”, Probl. Peredachi Inf., 39:1 (2003), 103–117

Citation in format AMSBIB:
\Bibitem{1}
\by L.~A.~Levin
\paper One-Way Functions
\jour Probl. Peredachi Inf.
\yr 2003
\vol 39
\issue 1
\pages 103--117
\mathnet{ppi208}


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  • http://mi.mathnet.ru/eng/ppi208
  • http://mi.mathnet.ru/eng/ppi/v39/i1/p103

    Full text (in Russian): PDF file (2362 kB)
    References (in Russian): PDF file   HTML файл

    English version:
    Problems of Information Transmission, 2003, 39:1, 92–103

    Review databases:

    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following artiles:
    1. А. А. Семенов, “О сложности обращения дискретных функций из одного класса”, Дискретн. анализ и исслед. опер., 11:4 (2004), 44–55    
    2. Д. Ю. Григорьев, А. Кожевников, С. И. Николенко, “Алгебраическая криптография: новые конструкции и их надëжность относительно доказуемого взлома”, Алгебра и анализ, 20:6 (2008), 119–147    ; D. Grigoriev, A. Kojevnikov, S. J. Nikolenko, “Algebraic cryptography: new constructions and their security against provable break”, St. Petersburg Math. J., 20:6 (2009), 937–953  
    3. Э. А. Гирш, Д. М. Ицыксон, “Бесконечно часто односторонняя функция, основанная на предположении о сложности в среднем”, Алгебра и анализ, 21:3 (2009), 130–144  
    4. А. А. Кожевников, С. И. Николенко, “О полных односторонних функциях”, Пробл. передачи информ., 45:2 (2009), 101–118    ; A. A. Kozhevnikov, S. I. Nikolenko, “On complete one-way functions”, Problems Inform. Transmission, 45:2 (2009), 168–183  
  • Проблемы передачи информации Problems of Information Transmission
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