{"type":"rich","version":"1.0","title":"RSA \u6697\u53f7","provider_name":"Hatena Blog","author_url":"https://blog.hatena.ne.jp/derwind/","url":"https://randommemory.hatenablog.com/entry/2022/02/06/024632","height":"190","description":"\u5c11\u3057\u53e4\u3044\u672c\u3067\u306f\u3042\u308b\u304c\u3001\u6697\u53f7\u7406\u8ad6\u3068\u4ee3\u6570\u5b66 \u3092\u3082\u3068\u306b RSA \u6697\u53f7\u306b\u3064\u3044\u3066\u5c11\u3057\u898b\u3066\u307f\u305f\u3044\u3002RSA \u6697\u53f7\u306f 1977 \u5e74\u306b\u767a\u8868\u3055\u308c\u305f\u516c\u958b\u9375\u6697\u53f7\u3068\u3044\u3046\u3053\u3068\u3067\u3042\u308b\u3002\u4ee5\u4e0b\u3001$\\varphi$ \u3092 Euler \u95a2\u6570\u3068\u3059\u308b\u3002 \u6982\u7565 $p,q$ \u3092 201 \u6841\u4ee5\u4e0a\u306e\u7d20\u6570\u3068\u3057\u3001\u975e\u516c\u958b\u3068\u3059\u308b\u3002 $N = pq$ \u3068\u304a\u304f\u3002\u3053\u308c\u306f\u7d20\u56e0\u6570\u5206\u89e3\u306e\u96e3\u3057\u3044 400 \u6841\u4ee5\u4e0a\u306e\u6570\u306b\u306a\u308b\u3002 $L = \\varphi(pq) = (p-1) (q-1)$ \u3068\u304a\u304f\u3002$p$ \u3068 $q$ \u304c\u7279\u5b9a\u3067\u304d\u306a\u3044\u3068\u7b97\u51fa\u3067\u304d\u306a\u3044\u3002 $\\ell = \\mathrm{lcm}(p-1, q-1)$\uff08\u6700\u5c0f\u516c\u500d\u6570\uff09\u3068\u3059\u308b\u3002 $\\mathcal{M} (= \\m\u2026","categories":["math-alg"],"image_url":null,"html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2022%2F02%2F06%2F024632\" title=\"RSA \u6697\u53f7 - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","provider_url":"https://hatena.blog","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","width":"100%","published":"2022-02-06 02:46:32","blog_url":"https://randommemory.hatenablog.com/","author_name":"derwind"}