{"height":"190","categories":["crypt"],"type":"rich","description":"Regev05\u3084\u3089GPV\u306e\u516c\u958b\u9375\u30b5\u30a4\u30ba\u3092m=5nlog n, q=O(n^3)\u3067\u898b\u7a4d\u3082\u3063\u3066\u307f\u305f. \u5927\u4f53n=512\u306e\u3068\u304d\u306b\u9375\u30b5\u30a4\u30ba\u304c256Mb\u304b\u30891Gb\u304b. Ajtai-Dwork\u306en=32\u306e\u3068\u304d\u306bn^5 log n\u3067160Mb\u3068\u304b\u306b\u306b\u6bd4\u3079\u308c\u3070\u304b\u306a\u308a\u306e\u6539\u5584\u3068\u3044\u3046\u3053\u3068\u304c\u5206\u304b\u308b. \u5b9a\u6570\u9805\u304c\u7d50\u69cb\u5229\u3044\u3066\u304f\u308b\u3082\u306e\u3060. \u73fe\u5b9f\u7684\u306b\u306fn=128\u304b\u3089256\u8fba\u308a\u3067\u898b\u6975\u3081\u308b\u3053\u3068\u306b\u306a\u308b\u306e\u304b\u306a. q\u3092\u3082\u3046\u5c11\u3057\u7d30\u304b\u304f\u8abf\u7bc0\u51fa\u6765\u308b\u306e\u3067\u305d\u308c\u3082\u524a\u3063\u3066\u6bd4\u3079\u308b\u5fc5\u8981\u304c\u3042\u308b\u3088\u3046\u3060. Fortnow\u66f0\u304f In crypto they know the underlying distribution since their protocols\u2026","title":" On lattice-based cryptography and average-case/worst-case connections","provider_url":"https://hatena.blog","url":"https://186.hatenablog.com/entry/20080213/1202915935","blog_url":"https://186.hatenablog.com/","provider_name":"Hatena Blog","published":"2008-02-13 00:18:55","version":"1.0","image_url":null,"html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2F186.hatenablog.com%2Fentry%2F20080213%2F1202915935\" title=\" On lattice-based cryptography and average-case/worst-case connections - 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>","blog_title":"186 @ hatenablog","width":"100%","author_name":"smoking186","author_url":"https://blog.hatena.ne.jp/smoking186/"}