Abstract
At the beginning the paper describes the basic properties of finite field arithmetic and elliptic curve arithmetic over prime and binary fields. Then it discusses the elliptic curve discrete logarithm problem and its properties. We study the Baby-Step, Giant-Step method, Pollard’s rho method and Pohlig–Hellman method, known as general methods that can exploit the elliptic curve discrete logarithm problem, and describe in detail attack experiments using these methods over prime and binary fields. Finally, the paper discusses the expected running time of these attacks and suggests the strong elliptic curves that are not vulnerable to these attacks.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
