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  2. Discrete logarithm records - Wikipedia

    en.wikipedia.org/wiki/Discrete_logarithm_records

    ECC2K-108, involving taking a discrete logarithm on a Koblitz curve over a field of 2 108 elements. The prize was awarded on 4 April 2000 to a group of about 1300 people represented by Robert Harley. They used a parallelized Pollard rho method with speedup. ECC2-109, involving taking a discrete logarithm on a curve over a field of 2 109 ...

  3. Discrete logarithm - Wikipedia

    en.wikipedia.org/wiki/Discrete_logarithm

    For example, log 10 10000 = 4, and log 10 0.001 = −3. These are instances of the discrete logarithm problem. Other base-10 logarithms in the real numbers are not instances of the discrete logarithm problem, because they involve non-integer exponents. For example, the equation log 10 53 = 1.724276… means that 10 1.724276… = 53.

  4. Pollard's rho algorithm for logarithms - Wikipedia

    en.wikipedia.org/wiki/Pollard's_rho_algorithm_for...

    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.

  5. Baby-step giant-step - Wikipedia

    en.wikipedia.org/wiki/Baby-step_giant-step

    The discrete log problem is of fundamental importance to the area of public key cryptography. Many of the most commonly used cryptography systems are based on the assumption that the discrete log is extremely difficult to compute; the more difficult it is, the more security it provides a data transfer.

  6. Hidden subgroup problem - Wikipedia

    en.wikipedia.org/wiki/Hidden_subgroup_problem

    The hidden subgroup problem (HSP) is a topic of research in mathematics and theoretical computer science. The framework captures problems such as factoring , discrete logarithm , graph isomorphism , and the shortest vector problem .

  7. Pollard's kangaroo algorithm - Wikipedia

    en.wikipedia.org/wiki/Pollard's_kangaroo_algorithm

    In computational number theory and computational algebra, Pollard's kangaroo algorithm (also Pollard's lambda algorithm, see Naming below) is an algorithm for solving the discrete logarithm problem. The algorithm was introduced in 1978 by the number theorist John M. Pollard , in the same paper as his better-known Pollard's rho algorithm for ...

  8. Discrete Log Contracts Are Bringing Private, ‘Scriptless ...

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  9. Computational Diffie–Hellman assumption - Wikipedia

    en.wikipedia.org/wiki/Computational_Diffie...

    Computing the discrete logarithm is the only known method for solving the CDH problem. But there is no proof that it is, in fact, the only method. It is an open problem to determine whether the discrete log assumption is equivalent to the CDH assumption, though in certain special cases this can be shown to be the case. [3] [4]

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