https://course.secsem.ru/w/index.php?action=history&feed=atom&title=%D0%9A%D1%80%D0%B8%D0%BF%D1%82%D0%BE%D0%B3%D1%80%D0%B0%D1%84%D0%B8%D1%8F%2F%D0%90%D1%81%D0%B8%D0%BC%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%87%D0%BD%D0%B0%D1%8F_%D0%BA%D1%80%D0%B8%D0%BF%D1%82%D0%BE%D0%B3%D1%80%D0%B0%D1%84%D0%B8%D1%8F_%D0%BD%D0%B0_%D0%BF%D1%80%D0%B8%D0%BC%D0%B5%D1%80%D0%B5_RSA Криптография/Асимметричная криптография на примере RSA - История изменений 2026-05-15T12:02:27Z История изменений этой страницы в вики MediaWiki 1.43.3 https://course.secsem.ru/w/index.php?title=%D0%9A%D1%80%D0%B8%D0%BF%D1%82%D0%BE%D0%B3%D1%80%D0%B0%D1%84%D0%B8%D1%8F/%D0%90%D1%81%D0%B8%D0%BC%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%87%D0%BD%D0%B0%D1%8F_%D0%BA%D1%80%D0%B8%D0%BF%D1%82%D0%BE%D0%B3%D1%80%D0%B0%D1%84%D0%B8%D1%8F_%D0%BD%D0%B0_%D0%BF%D1%80%D0%B8%D0%BC%D0%B5%D1%80%D0%B5_RSA&diff=829&oldid=prev Inviz: /* Википедия */ 2024-02-22T09:28:22Z <p><span class="autocomment">Википедия</span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="ru"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Предыдущая версия</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Версия от 09:28, 22 февраля 2024</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l16">Строка 16:</td> <td colspan="2" class="diff-lineno">Строка 16:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [https://ru.wikipedia.org/wiki/%D0%9A%D0%B8%D1%82%D0%B0%D0%B9%D1%81%D0%BA%D0%B0%D1%8F_%D1%82%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%BE%D0%B1_%D0%BE%D1%81%D1%82%D0%B0%D1%82%D0%BA%D0%B0%D1%85 Китайская теорема об остатках]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [https://ru.wikipedia.org/wiki/%D0%9A%D0%B8%D1%82%D0%B0%D0%B9%D1%81%D0%BA%D0%B0%D1%8F_%D1%82%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%BE%D0%B1_%D0%BE%D1%81%D1%82%D0%B0%D1%82%D0%BA%D0%B0%D1%85 Китайская теорема об остатках]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [https://ru.wikipedia.org/wiki/%D0%90%D0%BB%D0%B3%D0%BE%D1%80%D0%B8%D1%82%D0%BC_%D0%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4%D0%B0 Алгоритм Евклида]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [https://ru.wikipedia.org/wiki/%D0%90%D0%BB%D0%B3%D0%BE%D1%80%D0%B8%D1%82%D0%BC_%D0%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4%D0%B0 Алгоритм Евклида]</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* [https://ru.wikipedia.org/wiki/%D0%A2%D0%B5%D1%81%D1%82_%D0%91%D0%B5%D0%B9%D0%BB%D0%B8_%E2%80%94_%D0%9F%D0%BE%D0%BC%D0%B5%D1%80%D0%B0%D0%BD%D1%86%D0%B0_%E2%80%94_%D0%A1%D0%B5%D0%BB%D1%84%D1%80%D0%B8%D0%B4%D0%B6%D0%B0_%E2%80%94_%D0%A3%D0%BE%D0%B3%D1%81%D1%82%D0%B0%D1%84%D1%84%D0%B0 Вероятностный алгоритм BPSW проверки чисел на простоту]</ins></div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>= Sage =</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>= Sage =</div></td></tr> </table> Inviz https://course.secsem.ru/w/index.php?title=%D0%9A%D1%80%D0%B8%D0%BF%D1%82%D0%BE%D0%B3%D1%80%D0%B0%D1%84%D0%B8%D1%8F/%D0%90%D1%81%D0%B8%D0%BC%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%87%D0%BD%D0%B0%D1%8F_%D0%BA%D1%80%D0%B8%D0%BF%D1%82%D0%BE%D0%B3%D1%80%D0%B0%D1%84%D0%B8%D1%8F_%D0%BD%D0%B0_%D0%BF%D1%80%D0%B8%D0%BC%D0%B5%D1%80%D0%B5_RSA&diff=828&oldid=prev Inviz: /* Википедия */ 2024-02-22T09:25:59Z <p><span class="autocomment">Википедия</span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="ru"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Предыдущая версия</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Версия от 09:25, 22 февраля 2024</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l15">Строка 15:</td> <td colspan="2" class="diff-lineno">Строка 15:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [https://ru.wikipedia.org/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%AD%D0%B9%D0%BB%D0%B5%D1%80%D0%B0_(%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D1%8F_%D1%87%D0%B8%D1%81%D0%B5%D0%BB) Теорема Эйлера] и [https://ru.wikipedia.org/wiki/%D0%9C%D0%B0%D0%BB%D0%B0%D1%8F_%D1%82%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%A4%D0%B5%D1%80%D0%BC%D0%B0 малая теорема Ферма]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [https://ru.wikipedia.org/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%AD%D0%B9%D0%BB%D0%B5%D1%80%D0%B0_(%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D1%8F_%D1%87%D0%B8%D1%81%D0%B5%D0%BB) Теорема Эйлера] и [https://ru.wikipedia.org/wiki/%D0%9C%D0%B0%D0%BB%D0%B0%D1%8F_%D1%82%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%A4%D0%B5%D1%80%D0%BC%D0%B0 малая теорема Ферма]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [https://ru.wikipedia.org/wiki/%D0%9A%D0%B8%D1%82%D0%B0%D0%B9%D1%81%D0%BA%D0%B0%D1%8F_%D1%82%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%BE%D0%B1_%D0%BE%D1%81%D1%82%D0%B0%D1%82%D0%BA%D0%B0%D1%85 Китайская теорема об остатках]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [https://ru.wikipedia.org/wiki/%D0%9A%D0%B8%D1%82%D0%B0%D0%B9%D1%81%D0%BA%D0%B0%D1%8F_%D1%82%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%BE%D0%B1_%D0%BE%D1%81%D1%82%D0%B0%D1%82%D0%BA%D0%B0%D1%85 Китайская теорема об остатках]</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* [https://ru.wikipedia.org/wiki/%D0%90%D0%BB%D0%B3%D0%BE%D1%80%D0%B8%D1%82%D0%BC_%D0%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4%D0%B0 Алгоритм Евклида]</ins></div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>= Sage =</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>= Sage =</div></td></tr> </table> Inviz https://course.secsem.ru/w/index.php?title=%D0%9A%D1%80%D0%B8%D0%BF%D1%82%D0%BE%D0%B3%D1%80%D0%B0%D1%84%D0%B8%D1%8F/%D0%90%D1%81%D0%B8%D0%BC%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%87%D0%BD%D0%B0%D1%8F_%D0%BA%D1%80%D0%B8%D0%BF%D1%82%D0%BE%D0%B3%D1%80%D0%B0%D1%84%D0%B8%D1%8F_%D0%BD%D0%B0_%D0%BF%D1%80%D0%B8%D0%BC%D0%B5%D1%80%D0%B5_RSA&diff=827&oldid=prev Inviz: /* Материалы */ 2024-02-22T09:25:06Z <p><span class="autocomment">Материалы</span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="ru"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Предыдущая версия</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Версия от 09:25, 22 февраля 2024</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l5">Строка 5:</td> <td colspan="2" class="diff-lineno">Строка 5:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* &lt;s&gt;[https://www.dlitz.net/software/pycrypto/api/current/Crypto.PublicKey.RSA-module.html Документация по &lt;code&gt;Crypto.PublicKey.RSA&lt;/code&gt; из &lt;code&gt;pycrypto&lt;/code&gt;]&lt;/s&gt; (deprecated)</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* &lt;s&gt;[https://www.dlitz.net/software/pycrypto/api/current/Crypto.PublicKey.RSA-module.html Документация по &lt;code&gt;Crypto.PublicKey.RSA&lt;/code&gt; из &lt;code&gt;pycrypto&lt;/code&gt;]&lt;/s&gt; (deprecated)</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [https://pycryptodome.readthedocs.io/ Документация по &lt;code&gt;pycryptodome&lt;/code&gt;]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [https://pycryptodome.readthedocs.io/ Документация по &lt;code&gt;pycryptodome&lt;/code&gt;]</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* [https://cryptography.io/ Документация по &lt;code&gt;cryptography&lt;/code&gt;]</ins></div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [https://crypto.stanford.edu/~dabo/papers/RSA-survey.pdf Twenty Years of Attacks on the RSA Cryptosystem] by Dan Boneh</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [https://crypto.stanford.edu/~dabo/papers/RSA-survey.pdf Twenty Years of Attacks on the RSA Cryptosystem] by Dan Boneh</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> </table> Inviz https://course.secsem.ru/w/index.php?title=%D0%9A%D1%80%D0%B8%D0%BF%D1%82%D0%BE%D0%B3%D1%80%D0%B0%D1%84%D0%B8%D1%8F/%D0%90%D1%81%D0%B8%D0%BC%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%87%D0%BD%D0%B0%D1%8F_%D0%BA%D1%80%D0%B8%D0%BF%D1%82%D0%BE%D0%B3%D1%80%D0%B0%D1%84%D0%B8%D1%8F_%D0%BD%D0%B0_%D0%BF%D1%80%D0%B8%D0%BC%D0%B5%D1%80%D0%B5_RSA&diff=739&oldid=prev Inviz: /* Sage */ 2023-02-16T12:04:07Z <p><span class="autocomment">Sage</span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="ru"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Предыдущая версия</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Версия от 12:04, 16 февраля 2023</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l16">Строка 16:</td> <td colspan="2" class="diff-lineno">Строка 16:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>= Sage =</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>= Sage =</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* [https://www.sagemath.org Sage]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* На Debian-подобных системах устанавливается с помощью &lt;code&gt;apt install sagemath&lt;/code&gt;</ins></div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://doc.sagemath.org/html/en/reference/rings_standard/sage/arith/misc.html#sage.arith.misc.CRT Китайская теорема об остатках]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://doc.sagemath.org/html/en/reference/rings_standard/sage/arith/misc.html#sage.arith.misc.CRT Китайская теорема об остатках]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Установка пакетов: &lt;code&gt;sage -python3 -m pip install ...&lt;/code&gt;</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Установка пакетов: &lt;code&gt;sage -python3 -m pip install ...&lt;/code&gt;</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Запуск веб-интерфейса для работы с ноутбуками: &lt;code&gt;sage -n jupyterlab&lt;/code&gt;</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Запуск веб-интерфейса для работы с ноутбуками: &lt;code&gt;sage -n jupyterlab&lt;/code&gt;</div></td></tr> </table> Inviz https://course.secsem.ru/w/index.php?title=%D0%9A%D1%80%D0%B8%D0%BF%D1%82%D0%BE%D0%B3%D1%80%D0%B0%D1%84%D0%B8%D1%8F/%D0%90%D1%81%D0%B8%D0%BC%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%87%D0%BD%D0%B0%D1%8F_%D0%BA%D1%80%D0%B8%D0%BF%D1%82%D0%BE%D0%B3%D1%80%D0%B0%D1%84%D0%B8%D1%8F_%D0%BD%D0%B0_%D0%BF%D1%80%D0%B8%D0%BC%D0%B5%D1%80%D0%B5_RSA&diff=732&oldid=prev Inviz: Новая страница: «= Материалы = * [https://gist.github.com/Invizory/c08c6a78d28bfed1693f775a75984189 Аннотированная реализация модельной…» 2023-02-16T10:14:19Z <p>Новая страница: «= Материалы = * [https://gist.github.com/Invizory/c08c6a78d28bfed1693f775a75984189 Аннотированная реализация модельной…»</p> <p><b>Новая страница</b></p><div>= Материалы =<br /> <br /> * [https://gist.github.com/Invizory/c08c6a78d28bfed1693f775a75984189 Аннотированная реализация модельной RSA в Sage с занятия]<br /> * Система компьютерной алгебры [https://www.sagemath.org/ SageMath], [http://doc.sagemath.org/html/ru/tutorial/index.html введение] ([http://doc.sagemath.org/html/ru/tutorial/index.html на русском]), [http://doc.sagemath.org/html/en/reference/index.html документация]<br /> * &lt;s&gt;[https://www.dlitz.net/software/pycrypto/api/current/Crypto.PublicKey.RSA-module.html Документация по &lt;code&gt;Crypto.PublicKey.RSA&lt;/code&gt; из &lt;code&gt;pycrypto&lt;/code&gt;]&lt;/s&gt; (deprecated)<br /> * [https://pycryptodome.readthedocs.io/ Документация по &lt;code&gt;pycryptodome&lt;/code&gt;]<br /> * [https://crypto.stanford.edu/~dabo/papers/RSA-survey.pdf Twenty Years of Attacks on the RSA Cryptosystem] by Dan Boneh<br /> <br /> = Википедия =<br /> * [https://ru.wikipedia.org/wiki/RSA RSA]<br /> * [https://ru.wikipedia.org/wiki/%D0%A1%D1%80%D0%B0%D0%B2%D0%BD%D0%B5%D0%BD%D0%B8%D0%B5_%D0%BF%D0%BE_%D0%BC%D0%BE%D0%B4%D1%83%D0%BB%D1%8E Сравнение по модулю]<br /> * [https://ru.wikipedia.org/wiki/%D0%90%D0%BB%D0%B3%D0%BE%D1%80%D0%B8%D1%82%D0%BC%D1%8B_%D0%B1%D1%8B%D1%81%D1%82%D1%80%D0%BE%D0%B3%D0%BE_%D0%B2%D0%BE%D0%B7%D0%B2%D0%B5%D0%B4%D0%B5%D0%BD%D0%B8%D1%8F_%D0%B2_%D1%81%D1%82%D0%B5%D0%BF%D0%B5%D0%BD%D1%8C Алгоритмы быстрого возведения в степень по модулю]<br /> * [https://ru.wikipedia.org/wiki/%D0%A4%D1%83%D0%BD%D0%BA%D1%86%D0%B8%D1%8F_%D0%AD%D0%B9%D0%BB%D0%B5%D1%80%D0%B0 Функция Эйлера]<br /> * [https://ru.wikipedia.org/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%AD%D0%B9%D0%BB%D0%B5%D1%80%D0%B0_(%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D1%8F_%D1%87%D0%B8%D1%81%D0%B5%D0%BB) Теорема Эйлера] и [https://ru.wikipedia.org/wiki/%D0%9C%D0%B0%D0%BB%D0%B0%D1%8F_%D1%82%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%A4%D0%B5%D1%80%D0%BC%D0%B0 малая теорема Ферма]<br /> * [https://ru.wikipedia.org/wiki/%D0%9A%D0%B8%D1%82%D0%B0%D0%B9%D1%81%D0%BA%D0%B0%D1%8F_%D1%82%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%BE%D0%B1_%D0%BE%D1%81%D1%82%D0%B0%D1%82%D0%BA%D0%B0%D1%85 Китайская теорема об остатках]<br /> <br /> = Sage =<br /> * [http://doc.sagemath.org/html/en/reference/rings_standard/sage/arith/misc.html#sage.arith.misc.CRT Китайская теорема об остатках]<br /> * Установка пакетов: &lt;code&gt;sage -python3 -m pip install ...&lt;/code&gt;<br /> * Запуск веб-интерфейса для работы с ноутбуками: &lt;code&gt;sage -n jupyterlab&lt;/code&gt;</div> Inviz