Geodesic
On a strategy in the sieving procedure for the factorization of large natural numbers
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 153 (2011) no. 1, pp. 231-239

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This work describes a sieving strategy applied for the efficient algorithms of the quadratic sieve and the number field sieve integer factorization. A modification of the quadratic sieve method (Zhang's method) is also considered. Examples and theoretical estimations are given which show practicability of this approach for improving integer factorization procedures.
Keywords: factorization, quadratic sieve, number field sieve. 
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     title = {On a~strategy in the sieving procedure for the factorization of large natural numbers},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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     publisher = {mathdoc},
     volume = {153},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2011_153_1_a18/}
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D. B. Ziyatdinov; G. G. Rubtsova. On a strategy in the sieving procedure for the factorization of large natural numbers. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 153 (2011) no. 1, pp. 231-239. http://geodesic.mathdoc.fr/item/UZKU_2011_153_1_a18/