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A Study of General Attacks on Elliptic Curve Discrete Logarithm Problem over Prime Field and Binary Field
Abstract:This paper begins by describing basic properties of finite field and elliptic curve cryptography over prime field and binary field. Then we discuss the discrete logarithm problem for elliptic curves and its properties. We study the general common attacks on elliptic curve discrete logarithm problem such as the Baby Step, Giant Step method, Pollard’s rho method and Pohlig-Hellman method, and describe in detail experiments of these attacks over prime field and binary field. The paper finishes by describing expected running time of the attacks and suggesting strong elliptic curves that are not susceptible to these attacks.c
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1314552Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 804
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 Tun Myat Aung, Ni Ni Hla. Implementation of Elliptic Curve Arithmetic Operations for Prime Field and Binary Field using java BigInteger class, International Journal of Engineering Research and Technology (IJERT), Volume 6, Issue 08, August - 2017.