{"title":"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(3)\u2015Eisenstein\u306e\u65e2\u7d04\u5224\u5b9a\u6cd5","provider_name":"Hatena Blog","width":"100%","provider_url":"https://hatena.blog","author_url":"https://blog.hatena.ne.jp/derwind/","author_name":"derwind","type":"rich","published":"2016-08-15 18:48:36","url":"https://randommemory.hatenablog.com/entry/2016/08/15/184836","description":"Eisenstein\u306e\u65e2\u7d04\u5224\u5b9a\u6cd5\u3001\u61d0\u304b\u3057\u3044\u3002\u3068\u304b\u66f8\u304d\u3064\u3064\u3082\u5e38\u306b\u30b9\u30c6\u30fc\u30c8\u30e1\u30f3\u30c8\u306f\u5fd8\u308c\u308b...\u3002\u25cf\u5177\u4f53\u4f8b $X^{100} - 2$\u306e$\\Z[X]$\u3067\u306e\u65e2\u7d04\u6027: \u53ef\u7d04\u3068\u3059\u308b\u3068\u3001$X^{100} -2 = Q(X)R(X)$\u3068\u66f8\u3051\u308b\u30022\u3092\u6cd5\u3068\u3059\u308b\u3001\u3064\u307e\u308a\u3001$\\mathbb{F}_2[X]$\u3067\u8003\u3048\u308b\u3068\u3001$X^{100} = \\bar{Q}(X)\\bar{R}(X)$\u3068\u306a\u308b\u306e\u3067\u3001$\\mathbb{F}_2[X]$\u3067\u306f\u3001$\\bar{Q}(X) = X^k,\\ \\bar{R}(X) = X^\\ell$\u3068\u306a\u308b\u3002\u3088\u3063\u3066\u3082\u3068\u306e$\\Z[X]$\u3067\u8003\u3048\u308b\u3068\u3001$Q(X) = X^k + \\cdots + 2c_1,\\ R\u2026","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","image_url":null,"height":"190","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F08%2F15%2F184836\" title=\"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(3)\u2015Eisenstein\u306e\u65e2\u7d04\u5224\u5b9a\u6cd5 - \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>","categories":["math-alg"],"version":"1.0","blog_url":"https://randommemory.hatenablog.com/"}