{"author_url":"https://blog.hatena.ne.jp/smoking186/","image_url":null,"published":"2009-01-31 10:15:38","height":"190","blog_url":"https://186.hatenablog.com/","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2F186.hatenablog.com%2Fentry%2F20090131%2F1233364538\" title=\" - 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>","version":"1.0","width":"100%","url":"https://186.hatenablog.com/entry/20090131/1233364538","provider_name":"Hatena Blog","provider_url":"https://hatena.blog","type":"rich","blog_title":"186 @ hatenablog","description":"n=2^k,q:\u7d20\u6570\u304b\u30642n|q-1,D={0,1}\u3068\u3059\u308b. w\u306fZ_q^*\u306e\u4f4d\u65702n\u306e\u90e8\u5206\u7fa4\u3092\u751f\u6210\u3059\u308b\u3082\u306e\u3068\u3059\u308b. \u7c21\u5358\u306e\u305f\u3081\u306bn=4,q=17\u3068\u3059\u308b. \u3053\u306e\u3068\u304dw=2\u304c\u53d6\u308c\u308b. \u3055\u3089\u306bZ_q[X]/X^n+1\u3092\u8003\u3048\u308b. X^n+1=(X-2)(X-8)(X-15)(X-9)\u3068\u306a\u308a, \u3053\u306e\u74b0\u306e\u30a4\u30c7\u30a2\u30eb\u306f\u3053\u306e4\u3064\u306e1\u6b21\u591a\u9805\u5f0f\u306e\u7a4d\u3067\u751f\u6210\u3055\u308c\u308b. \u3067, D^4\u306e\u5404\u8981\u7d20\u3092\u591a\u9805\u5f0f\u3068\u3057\u3066\u307f\u3066, \u5404\u90e8\u5206\u74b0\u4e0a\u3067\u4e00\u81f4\u3059\u308b\u8981\u7d20\u306e\u7d44\u304c\u3042\u308b\u304b\u3069\u3046\u304b\u8abf\u3079\u305f\u30891\u3064\u3082\u7121\u304b\u3063\u305f. \u306a\u3093\u3060\u3053\u308a\u3083. \u4e00\u822c\u306b\u8a00\u3048\u308b\u304b\u3069\u3046\u304b\u306f\u602a\u3057\u3044\u306a.","categories":["math"],"title":"","author_name":"smoking186"}