Pollard's kangaroo algorithm (Discrete Logarithm Over Finite Fields Logarithm Calculations)

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Time Complexity

$O({2}^n)$

Space Complexity

$O({1})$ words

(Stores a constant number of O(n)-bit values (a, b, x_i, d, x_N, y_i, d_i) per iteration; assumes that the pseudorandom map is part of the input)

Description

Approximate?

Exact

Randomized?

No, deterministic

Model of Computation

Word RAM

Year

1978

Reference

https://www.ams.org/mcom/1978-32-143/S0025-5718-1978-0491431-9/S0025-5718-1978-0491431-9.pdf