{"width":"100%","published":"2009-07-22 23:58:56","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2F186.hatenablog.com%2Fentry%2F20090722%2F1248274736\" title=\" Signed QR - 186 @ hatenablog\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","author_url":"https://blog.hatena.ne.jp/smoking186/","description":"\u307e\u3041\u8a73\u3057\u304f\u306fR. Ficshlin and C.-P. Schnorr (JoC 200)\u3092\u898b\u3066\u3044\u305f\u3060\u304f\u3068\u3057\u3066, Hofheinz and Kiltz\u304cCRYPTO 2009\u3067\u767a\u8868\u3059\u308b\u8ad6\u6587\u304cDennis Hofheinz\u306e\u30b5\u30a4\u30c8\u304b\u3089\u8aad\u3081\u308b\u3088\u3046\u306b\u306a\u3063\u305f\u306e\u3067\u30e1\u30e2\u3067\u3059\u3088.\u3068\u308a\u3042\u3048\u305a, N\u3092n\u30d3\u30c3\u30c8\u306e\u30d6\u30e9\u30e0\u6570\u3068\u3057\u307e\u3059. N=PQ\u3067, P\u3068Q\u306f\u305d\u308c\u305e\u308cn/2\u30d3\u30c3\u30c8\u306e\u5947\u7d20\u6570\u3067, \u7279\u306bP = Q = 3 mod 4\u3067\u3059. ZN*\u306f\u4f4d\u6570\u304c\u03c6(N) = (P-1)(Q-1)\u3067\u3059. JN\u3067\u30e4\u30b3\u30d3\u8a18\u53f7\u304c1\u306b\u306a\u308b\u3088\u3046\u306a\u90e8\u5206\u7fa4\u3092\u8868\u3057\u307e\u3059. \u3059\u308b\u3068JN\u306e\u4f4d\u6570\u306f(P-1)(Q-1)/2\u3067\u3059. \u306a\u3093\u3067\u304b\u3063\u3066, -1\u304cJN\u306b\u5165\u2026","categories":["crypt"],"blog_title":"186 @ hatenablog","author_name":"smoking186","version":"1.0","url":"https://186.hatenablog.com/entry/20090722/1248274736","provider_url":"https://hatena.blog","image_url":null,"blog_url":"https://186.hatenablog.com/","provider_name":"Hatena Blog","type":"rich","height":"190","title":" Signed QR"}