摘要：It is true that different approaches have been utilised to accelerate the computation of discrete logarithm problem on elliptic curves with Pollardâs Rho method. However, trapping in cycles fruitless will be obtained by using the random walks with Pollardâs Rho. An efficient alternative approach that is based on new collisions which are reliant on the values ai , bi to solve this problem is proposed. This may requires less iterations than Pollardâs Rho original in reaching collision. Thus, the performance of Pollardâs Rho method is more efficiently because the improved method not only reduces the number of mathematical operations but these collisions can also applied on previous improvements which reported in the literature.
关键词：Pollard′s Rho; Elliptic Curve Discrete Logarithm; Alternative Collisions
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