One approach to factorization of positive integers
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2011), pp. 15-22
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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.
Mots-clés :
QS, NFS
Keywords: number field sieve, quadratic sieve, factorization.
Keywords: number field sieve, quadratic sieve, factorization.
@article{IVM_2011_4_a2,
author = {A. A. Boiko and D. B. Ziyatdinov and Sh. T. Ishmukhametov},
title = {One approach to factorization of positive integers},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {15--22},
publisher = {mathdoc},
number = {4},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2011_4_a2/}
}
TY - JOUR AU - A. A. Boiko AU - D. B. Ziyatdinov AU - Sh. T. Ishmukhametov TI - One approach to factorization of positive integers JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2011 SP - 15 EP - 22 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2011_4_a2/ LA - ru ID - IVM_2011_4_a2 ER -
A. A. Boiko; D. B. Ziyatdinov; Sh. T. Ishmukhametov. One approach to factorization of positive integers. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2011), pp. 15-22. http://geodesic.mathdoc.fr/item/IVM_2011_4_a2/