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Computing Elliptic Curve Discrete Logarithms with the Negation Map
Pollard rho method negation map fruitless cycles elliptic curve discrete logarithm random walk
2011/1/12
It is clear that the negation map can be used to speed up the computation of elliptic curve discrete logarithms with the Pollard rho method. However, the random walks defined on elliptic curve points ...
Computing Elliptic Curve Discrete Logarithms with the Negation Map
public-key cryptography / elliptic curve cryptosystem
2012/3/30
It is clear that the negation map can be used to speed up the computation of elliptic curve discrete logarithms with the Pollard rho method. However, the random walks defined on elliptic curve points ...
On the correct use of the negation map in the Pollard rho method
Elliptic curves discrete-logarithm problem negation map branchless algorithms SIMD
2011/1/12
Bos, Kaihara, Kleinjung, Lenstra, and Montgomery recently showed that ECDLPs on the 112-bit secp112r1 curve can be solved in an expected time of 65 years on a PlayStation 3. This paper shows how to so...
On the correct use of the negation map in the Pollard rho method
public-key cryptography / Elliptic curves discrete-logarithm problem negation map branchless algorithms SIMD
2012/3/30
Bos, Kaihara, Kleinjung, Lenstra, and Montgomery recently showed that ECDLPs on the 112-bit secp112r1 curve can be solved in an expected time of 65 years on a PlayStation 3. This paper shows how to so...