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Topic: Dixon's factorization method


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In the News (Sat 26 Dec 09)

  
 Quadratic sieve - Wikipedia, the free encyclopedia
The quadratic sieve is a modification of Dixon's factorization method.
The quadratic sieve algorithm (QS) is a modern integer factorization algorithm and, in practice, the second fastest method known.
This is roughly the basis of Fermat's factorization method.
en.wikipedia.org /wiki/Quadratic_sieve   (2116 words)

  
 Crunch big numbers with GT3 using a quadratic sieve
Gaussian elimination is then used as in Dixon's factorization method in order to find a product of the f(r)s, yielding a perfect square.
The quadratic sieve method of factoring depends upon being able to create a set of numbers whose factorization can be expressed as a product of pre-chosen primes.
The quadratic sieve algorithm is based in code from Dario Alejandro Alpern; on this site he talks about factoring with the sieve and presents a nifty online application for factoring with the elliptic curve method.
www-128.ibm.com /developerworks/grid/library/gr-factor   (1735 words)

  
 Quadratic sieve - Wikipedia, the free encyclopedia
The quadratic sieve is a modification of Dixon's factorization method.
The quadratic sieve algorithm (QS) is a modern integer factorization algorithm and, in practice, the second fastest method known (after the general number field sieve).
This approach (called MPQS, Multiple Polynomial Quadratic Sieve) is ideally suited for parallelization, since each processor involved in the factorization can be given n, the factor base and a collection of polynomials, and it will have no need to communicate with the central processor until it is finished with its polynomials.
en.wikipedia.org /wiki/Quadratic_sieve   (2183 words)

  
 Dixon's factorization method - Psychology Central
In number theory, Dixon's factorization method (also Dixon's algorithm) is a general-purpose integer factorization algorithm.
The quadratic sieve is a modification of the basic idea used in Dixon's method.
The quadratic sieve is an optimization of Dixon's method.
www.grohol.com /psypsych/Dixon%27s_algorithm   (534 words)

  
 Quadratic sieve - Wikipedia, the free encyclopedia
The quadratic sieve is a modification of Dixon's factorization method.
The quadratic sieve algorithm (QS) is a modern integer factorization algorithm and, in practice, the second fastest method known.
This approach (called MPQS, Multiple Polynomial Quadratic Sieve) is ideally suited for parallelization, since each processor involved in the factorization can be given n, the factor base and a collection of polynomials, and it will have no need to communicate with the central processor until it is finished with its polynomials.
en.wikipedia.org /wiki/Quadratic_sieve   (2116 words)

  
 Quadratic sieve - Wikipedia, the free encyclopedia
The quadratic sieve is a modification of Dixon's factorization method.
The quadratic sieve algorithm (QS) is a modern integer factorization algorithm and, in practice, the second fastest method known.
The algorithm attempts to set up a congruence of squares modulo n (the integer to be factorized), which often leads to a factorization of n.
en.wikipedia.org /wiki/Quadratic_sieve   (2116 words)

  
 quadratic factoring algorithm
Quadratic Sieve -- from MathWorld Quadratic Sieve -- from MathWorld A sieving procedure that can be used in conjunction with Dixon's factorization method to factor large numbers n.
An implementation of the general number field sieve.
on the quadratic sieve factoring algorithm, the algorithm that was considered to be the most...
www.moreloanshere.com /articles/79/quadratic-factoring-algorithm.html   (532 words)

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