{"author_url":"https://blog.hatena.ne.jp/elliptic-shiho/","image_url":null,"provider_url":"https://hatena.blog","author_name":"elliptic-shiho","categories":["\u6570\u5b66","\u6955\u5186\u66f2\u7dda"],"url":"https://elliptic-shiho.hatenablog.com/entry/2016/07/20/084509","title":"ECDLP\u306b\u5bfe\u3059\u308b\u653b\u6483\u624b\u6cd5\u306e\u307e\u3068\u3081 \u6982\u8981\u7de8","published":"2016-07-20 08:45:09","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Felliptic-shiho.hatenablog.com%2Fentry%2F2016%2F07%2F20%2F084509\" title=\"ECDLP\u306b\u5bfe\u3059\u308b\u653b\u6483\u624b\u6cd5\u306e\u307e\u3068\u3081 \u6982\u8981\u7de8 - \u208d\u208d (\u0e07 \u02d8\u03c9\u02d8 )\u0e27 \u207e\u207e &lt; \u6697\u53f7\u697d\u3057\u3044\u3067\u3059\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","version":"1.0","description":"\u6955\u5186\u66f2\u7dda\u96e2\u6563\u5bfe\u6570\u554f\u984c(Elliptic Curve Discrete Logarithm Problem, \u4ee5\u4e0bECDLP)\u304c\u89e3\u3051\u308b\u304b\u5426\u304b, \u3068\u3044\u3046\u554f\u984c\u306f\u6697\u53f7\u7406\u8ad6\u306b\u304a\u3044\u3066\u6955\u5186\u66f2\u7dda\u304c\u7528\u3044\u3089\u308c\u308b\u969b\u306e\u5b89\u5168\u6027\u57fa\u6e96\u3068\u3057\u3066\u4e00\u822c\u7684\u3067\u3042\u308b. \u672c\u8a18\u4e8b\u304b\u3089\u6578\u56de\u306b\u5206\u3051\u3066ECDLP\u306b\u5bfe\u3059\u308b\u653b\u6483\u624b\u6cd5\u306b\u3064\u3044\u3066\u307e\u3068\u3081\u308b. ECDLP\u306b\u3064\u3044\u3066 \u6955\u5186\u66f2\u7dda\u306b\u3064\u3044\u3066\u304b\u3044\u3064\u307e\u3093\u3067\u8ff0\u3079\u308b. \u4f53$K$\u306e\u4e0a\u306e\u6955\u5186\u66f2\u7dda$E/K$\u3092Weierstrass\u6a19\u6e96\u5f62$E/K: y^{2} + a_1xy + a_3y = x ^ 3 + a_2x^{2} + a_4x + a_6$\u3067\u5b9a\u7fa9\u3059\u308b. \u4f53$K$\u306e\u6a19\u6570\u304c2, 3\u306e\u3069\u3061\u3089\u3067\u3082\u306a\u3044\u5834\u5408\u306f\u5909\u6570\u5909\u63db\u2026","type":"rich","width":"100%","provider_name":"Hatena Blog","blog_title":"\u208d\u208d (\u0e07 \u02d8\u03c9\u02d8 )\u0e27 \u207e\u207e < \u6697\u53f7\u697d\u3057\u3044\u3067\u3059","height":"190","blog_url":"https://elliptic-shiho.hatenablog.com/"}