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Problemy Peredachi Informatsii, 2009, Volume 45, Issue 2, Pages 101–118 (Mi ppi1982)  
This article is cited in 5 scientific papers (total in 5 papers)

Large Systems

On complete one-way functions

A. A. Kozhevnikov, S. I. Nikolenko

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (339 kB) Citations (5)
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Abstract: Complete constructions play an important role in theoretical computer science. However, in cryptography complete constructions have so far been either absent or purely theoretical. In 2003, L. A. Levin presented the idea of a combinatorial complete one-way function. In this paper, we present two new one-way functions based on semi-Thue string rewriting systems and a version of the Post correspondence problem. We also present the properties of a combinatorial problem that allow a complete one-way function to be based on this problem. The paper also gives an alternative proof of Levin's result.
Received: 19.05.2008
Revised: 20.01.2009
English version:
Problems of Information Transmission, 2009, Volume 45, Issue 2, Pages 168–183
DOI: https://doi.org/10.1134/S0032946009020082
Bibliographic databases:
Document Type: Article
UDC: 621.391.1+519.4
Language: Russian
Citation: A. A. Kozhevnikov, S. I. Nikolenko, “On complete one-way functions”, Probl. Peredachi Inf., 45:2 (2009), 101–118; Problems Inform. Transmission, 45:2 (2009), 168–183
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
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    References:45
    First page:12
     
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