Research Article

An Efficient Collision Detection Method for Computing Discrete Logarithms with Pollard's Rho

Table 2

Different performance for distinguished point method and the new algorithm.

BitsNo. of DLPsRatio for distinguished pointRatio for the new algorithm

31 64000 1.309 1.295
32 32000 1.309 1.295
33 16000 1.310 1.296
34 8000 1.310 1.297
35 4000 1.309 1.295
36 2000 1.310 1.294

Average 126000 1.309 1.295