Integer Factorization Algorithms - Heuristic Running Time

Heuristic Running Time

In number theory, there are many integer factoring algorithms that heuristically have expected running time

in o and L-notation. Some examples of those algorithms are the elliptic curve method and the quadratic sieve. Another such algorithm is the class group relations method proposed by Schnorr, Seysen, and Lenstra that is proved under of the Generalized Riemann Hypothesis (GRH).

Read more about this topic:  Integer Factorization Algorithms

Famous quotes containing the words running and/or time:

    Do but consider this small dust, here running in the glass,
    By atoms moved.
    Could you believe that this the body was
    Of one that loved?
    And in his mistress’ flame playing like a fly,
    Turned to cinders by her eye?
    Yes, and in death as life unblest,
    To have’t expressed,
    Even ashes of lovers find no rest.
    Ben Jonson (1572–1637)

    If I commit suicide, it will not be to destroy myself but to put myself back together again. Suicide will be for me only one means of violently reconquering myself, of brutally invading my being, of anticipating the unpredictable approaches of God. By suicide, I reintroduce my design in nature, I shall for the first time give things the shape of my will.
    Antonin Artaud (1896–1948)