The best known unconditional deterministic complexity bound for computing the prime factorization of an integer N is O(M_int(N^(1/4) log N)), where M_int(k) denotes the cost of multiplying k-bit integers.
Jan 10, 2012
Aug 31, 2016 · In this paper, we will combine Strassen's approach with a babystep-giantstep method to improve the currently best known bound by a ...
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A babystep-giantstep method for faster deterministic integer factorization · Mathematics, Computer Science. Math. Comput. · 2018.
Jan 7, 2018 · Lehman's algorithm uses O(N13) time O(logN) space. The algoritm is the following. 0) Check that n is odd and n>8.
May 7, 2013 · Abstract. The best known unconditional deterministic complexity bound for computing the prime factorization of an integer N is O(Mint(N1/4 ...
Apr 21, 2016 · It is the fastest completely deterministic factorization algorithm, but is one of the slower class of algorithms (factoring N takes O( N1/4 ) ...
Main BGS algorithm: First evaluate (x + 1) at x = 0,L. Next evaluate (x + 1)(x + 2) at x = 0,L,2L. Next evaluate (x + 1)(x + 2)(x + 3)(x + 4) at x = 0,L,2L ...
Oct 29, 2020 · This is primarily of theoretical importance (it is now the fastest, deterministic algorithm with a proven bound), but is not immediately a ...
May 7, 2013 · FASTER DETERMINISTIC INTEGER FACTORIZATION 345. Richard Crandall and Carl Pomerance. Prime numbers. Springer, New York, second edition, 2005 ...
The best known unconditional deterministic complexity bound for computing the prime factorization of an integer N is O(M_int(N^(1/4) log N)), where M_int(k) ...