NDLI: Improving the Parallelized Pollard Rho Method for Computing Elliptic Curve Discrete Logarithms

Content Provider	IEEE Xplore Digital Library
Author	Ping Wang Fangguo Zhang
Copyright Year	2013
Description	Author affiliation: Sch. of Inf. Sci. & Technol., Sun Yat-sen Univ., Guangzhou, China (Fangguo Zhang) \|\| Coll. of Comput. Sci. & Software Eng., Shenzhen Univ., Shenzhen, China (Ping Wang)
Abstract	Pollard rho method and its parallelized variant are at present known as the best generic algorithms for computing elliptic curve discrete logarithms. We design new iteration functions for the parallel rho method by exploiting the fact that for any two points P and Q, we can efficiently get P-Q when we compute P+Q. We present a careful analysis of the alternative rho method with new iteration functions. Compare to the previous parallel r-adding walk, generally the new method can reduce the size of the space that is being searched by a factor of 4 with the additional costs of 2 field multiplications and 1 squaring at each iteration step for computing elliptic curve discrete logarithms.
Starting Page	285
Ending Page	291
File Size	183114
Page Count	7
File Format	PDF
e-ISBN	9781479921416
DOI	10.1109/EIDWT.2013.55
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-09-09
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Algorithm design and analysis Program processors Pollard rho method Elliptic curves Elliptic curve discrete logarithm Random walk Educational institutions Electronic mail Cryptography Equations
Content Type	Text
Resource Type	Article

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