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  1. University of Computer Studies, Yangon
  2. Faculty of Computing

A Study of General Attacks on Elliptic Curve Discrete Logarithm Problem over Prime Field and Binary Field

http://hdl.handle.net/20.500.12678/0000004564
http://hdl.handle.net/20.500.12678/0000004564
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07553d50-f1a7-4a96-8064-2b50a69134b2
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5. 5. A Study on ECDLP 2017.pdf (327 Kb)
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Publication
Title
Title A Study of General Attacks on Elliptic Curve Discrete Logarithm Problem over Prime Field and Binary Field
Language en
Publication date 2017-11
Authors
Aung, Tun Myat
Hla, Ni Ni
Description
This paper begins by describing basic properties offinite field and elliptic curve cryptography over prime field andbinary field. Then we discuss the discrete logarithm problem forelliptic curves and its properties. We study the general commonattacks on elliptic curve discrete logarithm problem such as the BabyStep, Giant Step method, Pollard’s rho method and Pohlig-Hellmanmethod, and describe in detail experiments of these attacks overprime field and binary field. The paper finishes by describingexpected running time of the attacks and suggesting strong ellipticcurves that are not susceptible to these attacks.
Keywords
Discrete logarithm problem, general attacks, elliptic curves, strong curves, prime field, binary field, attack experiments
Identifier 2517-9942
Journal articles
International Journal of Information, Control and Computer Sciences
Conference papers
Books/reports/chapters
Thesis/dissertations
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