Ads
related to: dlp problem solver
Search results
Results From The WOW.Com Content Network
In cryptography, the computational complexity of the discrete logarithm problem, along with its application, was first proposed in the Diffie–Hellman problem. Several important algorithms in public-key cryptography , such as ElGamal , base their security on the hardness assumption that the discrete logarithm problem (DLP) over carefully ...
The computation solve DLP in the 1551-bit field GF(3 6 · 163), taking 1201 CPU hours. [ 21 ] [ 22 ] in 2012 by a joint Fujitsu, NICT, and Kyushu University team, that computed a discrete logarithm in the field of 3 6 · 97 elements and a size of 923 bits, [ 23 ] using a variation on the function field sieve and beating the previous record in a ...
There are two other well known algorithms that solve the discrete logarithm problem in sub-exponential time: the index calculus algorithm and a version of the Number Field Sieve. [5] In their easiest forms both solve the DLP in a finite field of prime order but they can be expanded to solve the DLP in F p n {\displaystyle \mathbb {F} _{p^{n ...
In computational number theory, the index calculus algorithm is a probabilistic algorithm for computing discrete logarithms.Dedicated to the discrete logarithm in (/) where is a prime, index calculus leads to a family of algorithms adapted to finite fields and to some families of elliptic curves.
Pollard's rho algorithm for logarithms is an algorithm introduced by John Pollard in 1978 to solve the discrete logarithm problem, analogous to Pollard's rho algorithm to solve the integer factorization problem.
We also have a problem, if , the largest prime divisor of the order of the Jacobian, is equal to the characteristic of . By a different injective map we could then consider the DLP in the additive group instead of DLP on the Jacobian. However, DLP in this additive group is trivial to solve, as can easily be seen.
Ad
related to: dlp problem solver