Quadratic Sieve - Parameters From Realistic Example

Parameters From Realistic Example

To illustrate typical parameter choices for a realistic example on a real implementation including the multiple polynomial and large prime optimizations, the tool msieve was run on a 267-bit semiprime, producing the follow parameters:

  • Trial factoring cutoff: 27 bits
  • Sieve interval (per polynomial): 393216 (12 blocks of size 32768)
  • Smoothness bound: 1300967 (50294 primes)
  • Number of factors for polynomial A coefficients: 10 (see Multiple polynomials above)
  • Large prime bound: 128795733 (26 bits) (see Large primes above)
  • Smooth values found: 25952 by sieving directly, 24462 by combining numbers with large primes
  • Final matrix size: 50294 × 50414, reduced by filtering to 35750 × 35862
  • Nontrivial dependencies found: 15
  • Total time (on a 1.6 GHz UltraSparc III): 35 min 39 seconds
  • Maximum memory used: 8 MB

Read more about this topic:  Quadratic Sieve

Famous quotes containing the words parameters and/or realistic:

    Men have defined the parameters of every subject. All feminist arguments, however radical in intent or consequence, are with or against assertions or premises implicit in the male system, which is made credible or authentic by the power of men to name.
    Andrea Dworkin (b. 1946)

    Coming out, all the way out, is offered more and more as the political solution to our oppression. The argument goes that, if people could see just how many of us there are, some in very important places, the negative stereotype would vanish overnight. ...It is far more realistic to suppose that, if the tenth of the population that is gay became visible tomorrow, the panic of the majority of people would inspire repressive legislation of a sort that would shock even the pessimists among us.
    Jane Rule (b. 1931)