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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2011, Volume 153, Book 1, Pages 231–239 (Mi uzku919)  

On a strategy in the sieving procedure for the factorization of large natural numbers

D. B. Ziyatdinov, G. G. Rubtsova

Kazan (Volga Region) Federal University, Faculty of Computer Science and Cybernetics

Abstract: 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.

Full text: PDF file (222 kB)
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UDC: 510.17
Received: 25.04.2010

Citation: D. B. Ziyatdinov, G. G. Rubtsova, “On a strategy in the sieving procedure for the factorization of large natural numbers”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 153, no. 1, Kazan University, Kazan, 2011, 231–239

Citation in format AMSBIB
\Bibitem{ZiyRub11}
\by D.~B.~Ziyatdinov, G.~G.~Rubtsova
\paper On a~strategy in the sieving procedure for the factorization of large natural numbers
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2011
\vol 153
\issue 1
\pages 231--239
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku919}


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