Rigorous Running Time
The Schnorr-Seysen-Lenstra probabilistic algorithm has been rigorously proven by Lenstra and Pomerance to have expected running time by replacing the GRH assumption with the use of multipliers. The algorithm uses the class group of positive binary quadratic forms of discriminant Δ denoted by GΔ. GΔ is the set of triples of integers (a, b, c) in which those integers are relative prime.
Read more about this topic: Integer Factorization
Famous quotes containing the words rigorous, running and/or time:
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—Mark Twain [Samuel Langhorne Clemens] (1835–1910)
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“The democratic youth ... lives along day by day, gratifying the desire that occurs to him, at one time drinking and listening to the flute, at another downing water and reducing, now practising gymnastic, and again idling and neglecting everything; and sometimes spending his time as though he were occupied in philosophy.”
—Plato (c. 427–347 B.C.)