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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 4, Pages 15–22 (Mi ivm7287)  
This article is cited in 2 scientific papers (total in 2 papers)

One approach to factorization of positive integers

A. A. Boiko, D. B. Ziyatdinov, Sh. T. Ishmukhametov

Chair of Systems Analysis and Informational Technologies, Kazan State University, Kazan, Russia
Full-text PDF (256 kB) Citations (2)
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Abstract: Factorization of positive integers into primes is a hard computational task. Its complexity lies in the base of the most popular method of cryptography, the RSA method. In this paper we propose a new technique in a factorization procedure which combines ideas of the Number Field Sieve (NFS) and the Quadratic Sieve (QS) in a special manner.
Keywords: QS, NFS, number field sieve, quadratic sieve, factorization.
Received: 15.10.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 4, Pages 12–17
DOI: https://doi.org/10.3103/S1066369X11040037
Bibliographic databases:
Document Type: Article
UDC: 511.218+510.17
Language: Russian
Citation: A. A. Boiko, D. B. Ziyatdinov, Sh. T. Ishmukhametov, “One approach to factorization of positive integers”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 4, 15–22; Russian Math. (Iz. VUZ), 55:4 (2011), 12–17
Citation in format AMSBIB
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\by A.~A.~Boiko, D.~B.~Ziyatdinov, Sh.~T.~Ishmukhametov
\paper One approach to factorization of positive integers
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 4
\pages 15--22
\mathnet{http://mi.mathnet.ru/ivm7287}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2919793}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 4
\pages 12--17
\crossref{https://doi.org/10.3103/S1066369X11040037}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79958763390}
Linking options:
  • https://www.mathnet.ru/eng/ivm7287
  • https://www.mathnet.ru/eng/ivm/y2011/i4/p15
    • This publication is cited in the following 2 articles:
    1. Sh. T. Ishmukhametov, F. F. Sharifullina, “On a distrubution of semiprime numbers”, Russian Math. (Iz. VUZ), 58:8 (2014), 43–48  mathnet  crossref
    2. D. B. Ziyatdinov, R. G. Rubtsova, “Ob odnoi strategii v protsedure proseivaniya dlya faktorizatsii bolshikh naturalnykh chisel”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 153, no. 1, Izd-vo Kazanskogo un-ta, Kazan, 2011, 231–239  mathnet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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