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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">vestifm</journal-id><journal-title-group><journal-title xml:lang="ru">Известия Национальной академии наук Беларуси. Серия физико-математических наук</journal-title><trans-title-group xml:lang="en"><trans-title>Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1561-2430</issn><issn pub-type="epub">2524-2415</issn><publisher><publisher-name>The Republican Unitary Enterprise Publishing House "Belaruskaya Navuka"</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">vestifm-101</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>МАТЕМАТИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>MATHEMATICS</subject></subj-group></article-categories><title-group><article-title>О ВЫБОРЕ ПОЛИНОМОВ ДЛЯ АЛГОРИТМА РЕШЕТА ЧИСЛОВОГО ПОЛЯ</article-title><trans-title-group xml:lang="en"><trans-title>ON THE CHOICE OF POLYNOMIALS FOR THE NUMBER FIELD SIEVE</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Васильев</surname><given-names>Д. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Vasilyev</surname><given-names>D. V.</given-names></name></name-alternatives><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Кудин</surname><given-names>А. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Kudin</surname><given-names>A. S.</given-names></name></name-alternatives><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Институт математики Национальной академии наук Беларуси, Минск</institution></aff><aff xml:lang="en"><institution>Institute of Mathematics of the National Academy of Sciences of Belarus, Minsk</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2014</year></pub-date><pub-date pub-type="epub"><day>18</day><month>05</month><year>2016</year></pub-date><volume>0</volume><issue>3</issue><fpage>54</fpage><lpage>59</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Васильев Д.В., Кудин А.С., 2016</copyright-statement><copyright-year>2016</copyright-year><copyright-holder xml:lang="ru">Васильев Д.В., Кудин А.С.</copyright-holder><copyright-holder xml:lang="en">Vasilyev D.V., Kudin A.S.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://vestifm.belnauka.by/jour/article/view/101">https://vestifm.belnauka.by/jour/article/view/101</self-uri><abstract><p>В работе предлагается методика для быстрой экспериментальной оценки времени просеивания и числа пар взаимно простых чисел, дающих гладкие значения полиномов для алгоритма решета числового поля.</p></abstract><trans-abstract xml:lang="en"><p>In the paper an algorithm is suggested for quick estimate of sieving time and the number of relations for the number field sieve algorithm.</p></trans-abstract></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Rivest R., Shamir A., Adleman B. // Communications of the ACM. 1978. 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