![\"\u3010\u5c08\u6b04\u3011\u5f8c\u91cf\u5b50\u5bc6\u78bc\u5b78](\"https:\/newsletter.sinica.edu.tw\/wp-content\/uploads\/2022\/07\/3-1-1024x717.jpg\")
<\/p>\n<\/p>\n
\u5f8c\u91cf\u5b50\u5bc6\u78bc\u5b78\u2013\u4ee5\u53e4\u5178\u96fb\u8166\u62b5\u79a6\u91cf\u5b50\u7834\u5bc6<\/strong><\/p>\n \u6bcf\u7a2e\u52a0\u5bc6\u7cfb\u7d71\u7684\u6839\u57fa\uff0c\u90fd\u662f\u4e00\u9053\u8907\u96dc\u7684\u6578\u5b78\u96e3\u984c\uff0c\u800c\u73fe\u5728\u4e3b\u6d41\u7684\u516c\u9470\u52a0\u89e3\u5bc6\u7cfb\u7d71\uff0c\u5305\u62ec RSA \u52a0\u5bc6\u6f14\u7b97\u6cd5\u3001\u6a62\u5713\u66f2\u7dda\u5bc6\u78bc\u7cfb\u7d71 (ECC)\uff0c\u80cc\u5f8c\u7684\u6578\u5b78\u96e3\u984c\uff08\u5927\u6574\u6578\u7684\u5206\u89e3\u56e0\u6578\u554f\u984c\uff0c\u6a62\u5713\u66f2\u7dda\u4e0a\u7684\u96e2\u6563\u5c0d\u6578\u554f\u984c\uff09\u8907\u96dc\u5f97\u8b93\u53e4\u5178\u96fb\u8166\u4e00\u7c4c\u83ab\u5c55\uff0c\u537b\u6b63\u597d\u662f\u91cf\u5b50\u96fb\u8166\u6700\u64c5\u9577\u89e3\u6c7a\u7684\u554f\u984c\u578b\u614b\u3002\u56e0\u70ba\u9019\u4e9b\u6578\u5b78\u96e3\u984c\u7684\u7b54\u6848\uff0c\u7686\u53ef\u8f49\u5316\u6210\u9031\u671f\u6027\u7684\u7d50\u69cb\uff0c\u7406\u8ad6\u4e0a\uff0c\u53ea\u8981\u627e\u5230\u7d50\u69cb\u7684\u9031\u671f\uff0c\u5c31\u53ef\u4ee5\u300c\u8f03\u70ba\u8f15\u9b06\u300d\u7684\u7834\u89e3\u554f\u984c\u3002\u5c0d\u65bc\u53e4\u5178\u96fb\u8166\u4f86\u8aaa\uff0c\u7576\u6578\u5b57\u76f8\u7576\u5de8\u5927\u6642\uff0c\u5c0b\u627e\u9031\u671f\u4ecd\u662f\u5341\u5206\u56f0\u96e3\u7684\u4efb\u52d9\uff0c\u5c0d\u65bc\u91cf\u5b50\u96fb\u8166\u537b\u662f\u5c0f\u4e8b\u4e00\u6a01\u3002\u5728 1994 \u5e74 Peter Shor \u767c\u660e\u7684\u6f14\u7b97\u6cd5\u6b63\u597d\u53ef\u4ee5\u5c0b\u627e\u9031\u671f\uff0c\u4e5f\u5c31\u662f\u80fd\u7834\u89e3\u76ee\u524d\u4e3b\u6d41\u7684\u6240\u6709\u91cf\u5b50\u5bc6\u78bc\u7cfb\u7d71\u3002\u76f8\u8f03\u65bc\u5e38\u898b\u7684\u5c0d\u7a31\u5f0f\u5bc6\u78bc\u7cfb\u7d71\u5982 AES \u53ea\u9700\u8981\u5169\u500d\u9577\u7684\u91d1\u9470\u5c31\u53ef\u4fdd\u8b49\u540c\u6a23\u7684\u5b89\u5168\u6027\uff0c\u57fa\u65bc RSA\u548cECC\u7684\u516c\u9470\u5bc6\u78bc\u7cfb\u7d71\u5728\u5920\u5927\u7684\u91cf\u5b50\u96fb\u8166\u51fa\u73fe\u5f8c\u4fbf\u4e0d\u518d\u5b89\u5168\u3002\u56e0\u6b64\uff0c\u91cf\u5b50\u96fb\u8166\u84ec\u52c3\u7684\u767c\u5c55\u52e2\u5fc5\u6703\u5a01\u8105\u5230\u751f\u6d3b\u4e2d\u7684\u96b1\u79c1\u3002<\/p>\n \u5f8c\u91cf\u5b50\u5bc6\u78bc\u5b78\uff08post-quantum cryptography\uff0cPQC\uff09\u5c31\u662f\u4e00\u500b\u7814\u7a76\u80fd\u5920\u62b5\u79a6\u91cf\u5b50\u7834\u5bc6\u7684\u5bc6\u78bc\u5b78\u5206\u652f\u3002\u5728 PQC \u4e2d\u7684\u516c\u9470\u5bc6\u78bc\u7cfb\u7d71\uff0c\u4e3b\u8981\u6b78\u985e\u70ba\u4ee5\u4e0b\u4e94\u985e\uff1a\u6676\u683c\u5bc6\u78bc\u7cfb\u7d71\u3001\u7de8\u78bc\u5bc6\u78bc\u7cfb\u7d71\u3001\u96dc\u6e4a\u51fd\u6578\u5bc6\u78bc\u7cfb\u7d71\u3001\u591a\u8b8a\u91cf\u5bc6\u78bc\u7cfb\u7d71\u548c\u8d85\u5947\u7570\u6a62\u5713\u66f2\u7dda\u540c\u6e90\u5bc6\u78bc\u7cfb\u7d71\u3002<\/p>\n \u5f8c\u91cf\u5b50\u5bc6\u78bc\u5b78\u6a19\u6e96\u5316\u7af6\u8cfd<\/strong><\/p>\n \u70ba\u4e86\u8fce\u63a5\u5f8c\u91cf\u5b50\u5bc6\u78bc\u5b78\u6642\u4ee3\u7684\u4f86\u81e8\uff0c\u7f8e\u570b\u570b\u5bb6\u6a19\u6e96\u66a8\u6280\u8853\u7814\u7a76\u9662\uff08National Institute of Standards and Technology\uff0cNIST\uff09\u81ea2016\u5e74\u8d77\u8209\u8fa6\u300c\u5f8c\u91cf\u5b50\u5bc6\u78bc\u5b78\u6a19\u6e96\u5316\u7af6\u8cfd\u300d\uff0c\u5fb5\u6c42\u65b0\u6642\u4ee3\u7684\u52a0\u89e3\u5bc6\u7cfb\u7d71\u8207\u6578\u4f4d\u7c3d\u7ae0\u7cfb\u7d71\u3002\u5728\u9019\u5834\u7af6\u8cfd\u53d6\u5f97\u6700\u7d42\u512a\u52dd\u8005\uff0c\u5c07\u6210\u70ba\u65b0\u4e00\u4ee3\u7684\u6a19\u6e96\u5316\u5bc6\u78bc\u7cfb\u7d71\u3002NIST \u66fe\u7d93\u8209\u8fa6\u904e\u5169\u5834\u7af6\u8cfd\uff1a\u5343\u79a7\u5e74\u524d\u5f8c\u7684\u5148\u9032\u52a0\u5bc6\u6a19\u6e96 AES \u7af6\u8cfd\u548c 2010 \u5e74\u524d\u5f8c\u7684\u96dc\u6e4a\u51fd\u6578 (SHA-3) \u7af6\u8cfd\u3002\u6210\u70ba\u6700\u5f8c\u7372\u9078\u7684 AES \u548c SHA-3 \u7684\u8d0f\u5bb6\u7684\u5bc6\u78bc\u7cfb\u7d71\u7684\u6295\u7a3f\u4eba\u540d\u5229\u96d9\u6536\u3002\u4e5f\u56e0\u6b64\uff0c\u9019\u6b21\u7684\u7af6\u8cfd\u5438\u5f15\u4e86\u4f86\u81ea\u5168\u4e16\u754c\u7684\u5718\u968a\u53c3\u8cfd\u4e00\u8f03\u9ad8\u4e0b\u30022016\u5e74\uff0cNIST \u5728\u7576\u5e744\u6708\u65bc\u65e5\u672c\u798f\u5ca1\u8209\u8fa6\u7684 PQCrypto (\u5f8c\u91cf\u5b50\u5bc6\u78bc\u5b78) \u6703\u8b70\u4e0a\u5ba3\u5e03\u958b\u59cb\u5fb5\u96c6\u5f8c\u91cf\u5b50\u5bc6\u78bc\u7cfb\u7d71\u53c3\u52a0\u7af6\u8cfd\u3002\u800c 2017\u5e7411\u670830\u65e5\u622a\u6b62\u6536\u4ef6\u6642\u5171\u670982\u7d44\u6295\u7a3f\u3002\u7d93\u904e\u4e00\u756a\u7c21\u55ae\u7684\u6aa2\u67e5\uff0c\u540c\u5e7412\u670821\u65e5(\u8056\u8a95\u5047\u671f\u524d\u5915\u7684\u9031\u4e94)\u516c\u544a\u4e0a\u7db2\u6709 69 \u4ef6\u5408\u683c\u7684\u7a3f\u4ef6\u3002<\/p>\n \u6bd4\u8cfd\u7684\u6545\u4e8b<\/strong><\/p>\n \u6c11\u9593\u6545\u4e8b\u4e2d\u7149\u8831\u7684\u904e\u7a0b\u662f\u628a\u6bd2\u87f2\u5168\u90e8\u4e1f\u9032\u4e00\u500b\u6c34\u7f38\uff0c\u6d3b\u8457\u722c\u51fa\u4f86\u7684\u5c31\u662f\u8831\u738b\u3002\u5176\u5be6\u9019\u500b\u7af6\u8cfd\u597d\u50cf\u4e5f\u6c92\u6709\u4ec0\u9ebc\u5dee\u5225\u3002NIST \u7684\u4eba\u54e1\u516c\u544a\u4e86\u8ab0\u9032\u5165\u7b2c\u4e00\u8f2a\u5c31\u56de\u5bb6\u653e\u5047\u904e\u7bc0\u4e86\u3002\u4f46\u662f\u5bc6\u78bc\u5b78\u5bb6\u591a\u6578\u90fd\u662f\u963f\u5b85 (\u4e0d\u5206\u7537\u5973\u8001\u5c11\u90fd\u662f)\u3002\u773e\u6240\u9031\u77e5\uff0c\u963f\u5b85\u662f\u4e0d\u904e\u7bc0\u7684\u3002\u7f8e\u570b\u7576\u5730\u6642\u959312\u670821\u65e5\u7684\u665a\u4e0a\u5c31\u6709\u5bc6\u78bc\u5b78\u5bb6\u7834\u4e86\u5176\u4ed6\u4eba\u6295\u7684\u7cfb\u7d71\u3002\u56db\u500b\u6708\u4e4b\u5f8c\u7684\u7b2c\u4e00\u6b21\u5f8c\u91cf\u5b50\u6a19\u6e96\u5316\u6703\u8b70\u5728\u4f5b\u7f85\u91cc\u9054\u53ec\u958b\u6642\uff0c\u5df2\u7d93\u6709 \u00bc \u6295\u7a3f\u7684\u5bc6\u78bc\u7cfb\u7d71\u88ab\u5fb9\u5e95\u64ca\u7834\u6216\u662f\u56b4\u91cd\u53d7\u640d\u3002<\/p>\n \u6b21\u5e74 (2019) \u7684\u4e00\u670831\u65e5\uff0c\u56e0\u70ba\u5ddd\u666e\u95dc\u9589\u806f\u90a6\u653f\u5e9c\u800c\u8ddf\u8457\u95dc\u9580\u95dc\u4e86\u5feb\u4e00\u500b\u6708\u7684 NIST \u91cd\u65b0\u958b\u9580\u8fa6\u516c\u4e0d\u4e45\u5c31\u516c\u544a\u4e86 26 \u7d44\u6649\u7d1a\u7b2c\u4e8c\u8f2a\u7684\u5bc6\u78bc\u7cfb\u7d71\u3002\u7576\u5e74\u516b\u6708\uff0cNIST \u5728\u52a0\u5dde Santa Barbara \u5927\u5b78\u8209\u8fa6\u7b2c\u4e8c\u6b21\u5f8c\u91cf\u5b50\u6e96\u5316\u6703\u8b70\u3002\u7fcc\u5e74 (2020) \u76847\u670823\u65e5\uff0cNIST \u516c\u544a\u4e86\u6649\u7d1a\u7b2c\u4e09\u8f2a\u7684\u5bc6\u78bc\u7cfb\u7d71\u3002 \u7d93\u904e\u5169\u8f2a\u7684\u7be9\u9078\uff0c\u9019\u6642\u5df2\u7d93\u5269\u4e0b15\u7d44\u4eba\u99ac\uff0c\u88ab\u5206\u70ba\u4e03\u7d44\u6c7a\u9078\u8005 (finalist) \u548c\u516b\u7d44\u5099\u9078\u8005 (alternate)\u3002\u6c7a\u9078\u8005\u4e2d\uff0c\u6709\u4e94\u500b\u6676\u683c\u5bc6\u78bc\u7cfb\u7d71\u3001\u4e00\u500b\u7de8\u78bc\u5bc6\u78bc\u7cfb\u7d71\u548c\u4e00\u500b\u591a\u8b8a\u91cf\u5bc6\u78bc\u7cfb\u7d71\u3002\u5099\u9078\u8005\u4e2d\u9084\u6709\u5169\u500b\u6676\u683c\u5bc6\u78bc\u7cfb\u7d71\u3002\u6676\u683c\u5bc6\u78bc\u7cfb\u7d71\u986f\u7136\u56e0\u70ba\u5176\u7e3d\u9ad4\u6027\u80fd\u512a\u8d8a\u800c\u4f54\u4e86\u7d55\u5927\u591a\u6578\u7684\u6649\u7d1a\u540d\u984d\u3002<\/p>\n \u4e2d\u7814\u9662\u672c\u6709\u76f8\u7576\u5f37\u7684\u5bc6\u78bc\u5b78\u5718\u968a\uff0c\u9019\u6b21\u6bd4\u8cfd\u4e5f\u6c92\u6709\u7f3a\u5e2d\u3002\u901a\u904e\u4e86\u7b2c\u4e00\u3001\u4e8c\u8f2a\u7684\u8003\u9a57\uff0c\u6211\u5011\u53c3\u8207\u4e86\u5169\u7d44\u6c7a\u9078\u8005 (\u6578\u4f4d\u7c3d\u7ae0\u7cfb\u7d71Rainbow\uff0c\u548c\u52a0\u89e3\u5bc6\u7cfb\u7d71 Classic McEliece) \u548c\u5169\u7d44\u5099\u9078\u8005 (\u6578\u4f4d\u7c3d\u7ae0\u7cfb\u7d71SPHINCS+\uff0c\u548c\u52a0\u89e3\u5bc6\u7cfb\u7d71NTRU PRIME)\u3002\u8ddd\u96e2\u6210\u70ba\u4e16\u754c\u6a19\u6e96\uff0c\u4f3c\u4e4e\u53ea\u5269\u4e00\u6b65\u4e4b\u9059\u3002\u5728\u9019\u904e\u7a0b\u7576\u4e2d\uff0c\u7b46\u8005\u7684 Rainbow \u5718\u968a\u9084\u6210\u529f\u7684\u7834\u89e3\u4e86\u548c Rainbow \u6700\u63a5\u8fd1\u7684\u7af6\u722d\u8005\uff0c\u540c\u5c6c\u591a\u8b8a\u91cf\u6578\u4f4d\u7c3d\u7ae0\u7cfb\u7d71\u7684 LUOV\u3002<\/p>\n \u722d\u8b70<\/strong><\/p>\n \u5728 Rainbow \u5165\u9078\u7b2c\u4e09\u8f2a\uff0c\u548c\u8ddf\u5b83\u540c\u985e\u7684\u7cfb\u7d71 GeMSS \u4e5f\u53d7\u5230\u81f4\u547d\u7684\u653b\u64ca\u4e4b\u5f8c\uff0c\u5b83\u672c\u4f86\u88ab\u770b\u597d\u6210\u70ba\u6a19\u6e96\u3002\u4f46\u662f LUOV \u7684\u767c\u660e\u4eba\u4e4b\u4e00\uff0c\u4e00\u4f4d\u5e74\u8f15\u6bd4\u5229\u6642\u4eba Ward Beullens\uff0c\u7ad9\u51fa\u4f86\u5fa9\u4ec7\u4e86\u3002Beullens \u767c\u73fe\u4e86 Rainbow \u7d50\u69cb\u4e0a\u7684\u4e00\u500b\u554f\u984c\uff0c\u4e26\u4e3b\u5f35\u56e0\u6b64 Rainbow \u7684\u5b89\u5168\u6027\u4e0d\u8db3\u3002\u7b46\u8005\u4ee3\u8868\u5718\u968a\u9032\u884c\u4e86\u4e00\u7cfb\u5217\u7684\u5206\u6790\u4e26\u5f97\u5230\u7d50\u8ad6\uff1a\u6211\u5011\u7684\u7cfb\u7d71\u5728 Beullens \u653b\u64ca\u4e0b\u9084\u662f\u6709\u8db3\u5920\u7684\u5b89\u5168\u6027\u3002\u7136\u5f8c\u96d9\u65b9\u548c NIST \u5c31\u5230\u5e95\u8ab0\u7684\u5206\u6790\u6bd4\u8f03\u7cbe\u78ba\u722d\u8b70\u4e86\u6578\u500b\u6708\u4e4b\u4e45\u3002\u4f46\u662f\u8070\u660e\u7684 Beullens \u6b64\u6642\u767c\u51fa\u4e86\u66f4\u51cc\u53b2\u7684\u4e00\u64ca\u3002\u57fa\u65bc\u76f8\u540c\u7684\u7d50\u69cb\u554f\u984c\u4ed6\u767c\u73fe\u4e86\u53e6\u4e00\u500b\u653b\u64ca\uff0c\u4e26\u7834\u89e3\u4e86 Rainbow \u6700\u5c0f\u7684\u53c3\u6578\u3002\u9019\u500b\u653b\u64ca\u6216\u8a31\u4e26\u4e0d\u662f\u6839\u672c\u6027\u7684\uff0c\u6216\u8a31 Rainbow \u53ef\u4ee5\u63db\u500b\u5927\u9ede\u7684\u53c3\u6578\u4ecd\u7136\u5b89\u5168\uff0c\u4f46\u662f\u5b83\u5df2\u4e0d\u53ef\u80fd\u9078\u4e0a\u4e86\u3002<\/p>\n \u8207\u6b64\u540c\u6642\u6676\u683c\u5bc6\u78bc\u7cfb\u7d71\u4e5f\u51fa\u73fe\u5b78\u7406\u548c\u6cd5\u52d9\u4e0a\u7684\u722d\u8b70\u3002\u5b78\u7406\u4e0a\u6709\u4eba (D.J. Bernstein) \u4e3b\u5f35\u67d0\u7a2e\u653b\u64ca\u662f\u53ef\u4ee5\u7834\u89e3 Kyber \u548c SABER\u3002\u4f46\u53e6\u4e00\u6d3e\u5bc6\u78bc\u5b78\u5bb6\u5c0d Bernstein \u7684\u7d50\u679c\u6975\u529b\u5426\u8a8d\u3002<\/p>\n \u6cd5\u52d9\u4e0a\u7684\u722d\u8b70\u662f\u9019\u6a23\u7684: \u6c7a\u9078\u8005\u4e2d\u7684 Kyber \u548c SABER \u90fd\u6709\u53ef\u80fd\u7684\u5c08\u5229\u8986\u84cb\uff0c\u6709\u00bc \u500b\u4e16\u7d00\u6b77\u53f2\u7684\u8001\u724c NTRU \u7cfb\u7d71\u5247\u662f\u6c92\u6709\u9019\u500b\u554f\u984c\u3002\u6709\u5c08\u5229\u8986\u84cb\u7684\u7cfb\u7d71\u5982\u679c\u6210\u70ba\u6a19\u6e96\uff0c\u5c31\u76f8\u7576\u65bc\u5728\u70ba\u7279\u5b9a\u4eba\u725f\u5229\u4e86\u3002\u525b\u525b\u63d0\u5230\u7684\u90a3\u4e00\u6d3e\u4eba\u5247\u6975\u529b\u4e3b\u5f35\u5c08\u5229\u4e0a\u6c92\u6709\u554f\u984c\u3002<\/p>\n \u6301\u6709\u5c08\u5229\u8005\u5728\u6cd5\u9662\u7372\u5f97\u4e86\u4e00\u4e9b\u52dd\u5229\u4e4b\u5f8c\u3002Kyber \u548c SABER \u7684\u547d\u904b\u770b\u4f86\u4f3c\u4e4e\u4e5f\u5c31\u6c7a\u5b9a\u4e86\u3002 \u5176\u4ed6\u7684\u9078\u62d4\u7d50\u679c<\/strong><\/p>\n \u9664\u4e86 Kyber\uff0c\u52a0\u89e3\u5bc6\u7684\u6676\u683c\u5bc6\u78bc\u7cfb\u7d71\u5747\u88ab\u5ba3\u5224\u51fa\u5c40\uff0cNIST \u5ba3\u544a\u5169\u500b\u6676\u683c\u9ad4\u7cfb\u7684\u6578\u4f4d\u7c3d\u7ae0\u7cfb\u7d71 Dilithium \u548c Falcon \u90fd\u662f\u65b0\u7684\u6a19\u6e96 (Dilithium \u662f\u5c6c\u65bc\u548c Kyber \u7684\u540c\u4e00\u6d3e\u7cfb\u652f\u6301\u7684\uff0c\u4f46\u5728\u5f88\u591a\u6027\u80fd\u8003\u91cf\u4e0a Falcon \u8981\u66f4\u597d)\u3002\u53e6\u5916\u57fa\u65bc\u96dc\u6e4a\u51fd\u6578\u7684\u7c3d\u7ae0 SPHINCS+ \u4e5f\u56e0\u70ba\u5b83\u5ee3\u88ab\u63a5\u53d7\u7684\u5b89\u5168\u6027\u800c\u88ab\u9078\u70ba\u6a19\u6e96\u3002\u8cc7\u8a0a\u6240\u7684\u502a\u5112\u672c\u8001\u5e2b\u662f SPHINCS+ \u7684\u5171\u540c\u63d0\u51fa\u8005\uff0c\u6211\u5011\u4e5f\u8981\u606d\u559c\u4ed6\u3002<\/p>\n \u540c\u6642NIST\u53e6\u5916\u958b\u4e86\u4e00\u500b\u7d66\u6578\u4f4d\u7c3d\u7ae0\u7684\u9078\u62d4\uff0c\u54b8\u8a8d\u4ed6\u5011\u5fc3\u76ee\u4e2d\u7684\u76ee\u6a19\u662f\u4e0a\u500b\u4e16\u7d00\u767c\u5c55\u51fa\u4f86\u7684\u591a\u8b8a\u91cf\u7cfb\u7d71 UOV\u3002\u4e2d\u7814\u9662\u5718\u968a\u4e5f\u5c07\u53c3\u8207\u9019\u500b\u7cfb\u7d71\u7684\u6295\u7a3f\u3002\u4ed6\u5011\u4e5f\u5ba3\u544a\u5e7e\u500b\u52a0\u89e3\u5bc6\u7cfb\u7d71 Classic McEliece, BIKE, HQC, \u548c SIKE \u7e7c\u7e8c\u9032\u884c\u7b2c\u56db\u8f2a\u9078\u62d4\u3002<\/p>\n \u5be6\u4f5c\u548c\u7d44\u5408\u8a9e\u8a00\u7684\u91cd\u8981\u6027<\/strong><\/p>\n \u96d6\u7136\u7af6\u8cfd\u66ab\u6642\u843d\u5e55\uff0c\u4f46\u662f\u70ba\u4e86\u9019\u500b\u7af6\u8cfd\u6240\u505a\u7684\u7814\u7a76\u4e26\u4e0d\u6703\u6d88\u5931\u3002\u4e2d\u7814\u9662\u5728\u6676\u683c\u5bc6\u78bc\u7cfb\u7d71\u7684\u8a08\u7b97\u4e0a\u6295\u6ce8\u4e86\u5927\u91cf\u7684\u5fc3\u8840\uff0c\u4e3b\u8981\u5728\u6676\u683c\u5bc6\u78bc\u7cfb\u7d71 Dilithium\u3001Kyber\u3001NTRU\u3001NTRU Prime\u548cSABER\u3002\u6211\u5011\u4e26\u5c08\u6ce8\u65bc\u9019\u4e9b\u5bc6\u78bc\u7cfb\u7d71\u4e2d\u6700\u6d88\u8017\u6642\u9593\u7684\u8a08\u7b97\uff1a\u591a\u9805\u5f0f\u4e58\u6cd5\u548c\u5176\u8b8a\u63db\u3002<\/p>\n C\u8a9e\u8a00\u662f\u4e00\u500b\u901a\u7528\u7a0b\u5f0f\u8a9e\u8a00\u3002\u56e0\u5176\u7cbe\u7d30\u7684\u8a18\u61b6\u9ad4\u8abf\u63a7\u80fd\u529b\uff0c\u8cc7\u6df1\u7a0b\u5f0f\u8a2d\u8a08\u5e2b\u6240\u5beb\u7684C\u7a0b\u5f0f\u901a\u5e38\u88ab\u8996\u70ba\u512a\u5316\u7684\u5be6\u4f5c\u3002\u7136\u800c\u5728\u5bc6\u78bc\u5b78\u5be6\u4f5c\u4e0a\uff0cC\u7a0b\u5f0f\u901a\u5e38\u53ea\u88ab\u505a\u70ba\u53c3\u8003\u5be6\u4f5c\uff0c\u800c\u4e0d\u8ad6\u53ca\u6548\u80fd\u548c\u5404\u5e73\u53f0\u7684\u5b89\u5168\u6027\u3002\u5bc6\u78bc\u5b78\u5be6\u4f5c\u4e2d\uff0c\u76ee\u6a19\u662f\u5beb\u51fa\u5168\u4e16\u754c\u6700\u5feb\u7684\u7a0b\u5f0f\uff0c\u8a18\u61b6\u9ad4\u914d\u7f6e\u53ea\u662f\u5176\u4e2d\u4e00\u500b\u5f71\u97ff\u56e0\u7d20\u3002\u6548\u80fd\u826f\u597d\u4e14\u5b89\u5168\u7684\u5be6\u4f5c\u5e38\u5e38\u7528\u5230\u5e73\u53f0\u7684\u7279\u6b8a\u6307\u4ee4\u548c\u7d44\u5408\u8a9e\u8a00\u3002<\/p>\n \u5728\u9019\u5e7e\u5e74\u9593\uff0c\u4e2d\u7814\u9662\u958b\u767c\u51fa\u5f88\u591a\u7684\u624b\u6cd5\u4f86\u5be6\u4f5c\u6676\u683c\u5bc6\u78bc\u5b78\uff0c\u7279\u5225\u662f\u5728\u5feb\u901f\u5085\u7acb\u8449\u8b8a\u63db (Fast Fourier Transform, FFT) \u548c\u6578\u8ad6\u8f49\u63db (Number Theoretic Transform \u6216 NTT, FFT \u7528\u5728\u6574\u6578\u74b0\u7684\u4e00\u7a2e\u7279\u5316) \u7684\u5be6\u4f5c\u6280\u5de7\u4e0a\u582a\u7a31\u7368\u6b65\u5168\u7403\u3002\u4e0a\u5716\u662f\u5176\u4e2d\u4e4b\u4e00\uff0c\u6211\u5011\u958b\u767c\u51fa\u4f86\u65b0\u7248\u7684\u8774\u8776\u8b8a\u63db (butterfly) \u7528\u4f86\u52a0\u901f\u6676\u683c\u5bc6\u78bc\u5b78\u4e2d\u6700\u91cd\u8981\u7684 NTT\u3002\u4e2d\u7814\u9662\u4e5f\u662f\u6700\u65e9\u63d0\u4f9b\u5f62\u5f0f\u9a57\u8b49\u4f5c\u7528\u65bc\u5feb\u901f\u6676\u683c\u5bc6\u78bc\u5b78\u7d44\u5408\u8a9e\u8a00\u7a0b\u5f0f\u4e26\u8b49\u660e\u70ba\u6b63\u78ba\u7684\u51fa\u8655\u3002<\/p>\n \u5c07\u4f86\u8207\u9858\u666f<\/strong><\/p>\n \u4e0d\u8ad6\u6700\u5f8c\u7d50\u679c\u9019\u500b\u4e16\u754c\u662f\u63a1\u7528\u54ea\u500b\u6216\u54ea\u4e9b\u7cfb\u7d71\uff0c\u4e2d\u7814\u9662\u7684\u5bc6\u78bc\u5b78\u5718\u968a\u5e0c\u671b\u63d0\u4f9b\u7d66\u5168\u4e16\u754c\u5feb\u901f\u3001\u5b89\u5168\u3001\u6b63\u78ba\u3001\u5ee3\u7528\u7684\u7a0b\u5f0f\u5eab\uff0c\u540c\u6642\u4e5f\u5c0d\u5f8c\u91cf\u5b50\u5bc6\u78bc\u7cfb\u7d71\u7684\u5b89\u5168\u6027\u505a\u51fa\u66f4\u7cbe\u78ba\u7684\u8a55\u91cf\u3002\u9084\u8acb\u5927\u5bb6\u62ed\u76ee\u4ee5\u5f85\u3002<\/p>\n","protected":false},"excerpt":{"rendered":" \u5f8c\u91cf\u5b50\u5bc6\u78bc\u5b78\u2013\u4ee5\u53e4\u5178\u96fb\u8166\u62b5\u79a6\u91cf\u5b50\u7834\u5bc6 \u6bcf\u7a2e\u52a0\u5bc6\u7cfb\u7d71\u7684\u6839\u57fa\uff0c\u90fd\u662f\u4e00\u9053\u8907\u96dc\u7684\u6578\u5b78\u96e3\u984c\uff0c\u800c\u73fe\u5728\u4e3b\u6d41\u7684\u516c\u9470\u52a0\u89e3\u5bc6\u7cfb\u7d71\uff0c […]<\/p>\n","protected":false},"author":1,"featured_media":28080,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[990,983],"tags":[],"acf":[],"_links":{"self":[{"href":"https:\/newsletter.sinica.edu.tw\/wp-json\/wp\/v2\/posts\/28059"}],"collection":[{"href":"https:\/newsletter.sinica.edu.tw\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/newsletter.sinica.edu.tw\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/newsletter.sinica.edu.tw\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/newsletter.sinica.edu.tw\/wp-json\/wp\/v2\/comments?post=28059"}],"version-history":[{"count":1,"href":"https:\/newsletter.sinica.edu.tw\/wp-json\/wp\/v2\/posts\/28059\/revisions"}],"predecessor-version":[{"id":29044,"href":"https:\/newsletter.sinica.edu.tw\/wp-json\/wp\/v2\/posts\/28059\/revisions\/29044"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/newsletter.sinica.edu.tw\/wp-json\/wp\/v2\/media\/28080"}],"wp:attachment":[{"href":"https:\/newsletter.sinica.edu.tw\/wp-json\/wp\/v2\/media?parent=28059"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/newsletter.sinica.edu.tw\/wp-json\/wp\/v2\/categories?post=28059"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/newsletter.sinica.edu.tw\/wp-json\/wp\/v2\/tags?post=28059"}],"curies":[{"name":"wp","href":"https:\/api.w.org\/{rel}","templated":true}]}}
\n\u4f46\u6700\u5f8c NIST \u6c7a\u5b9a\u82b1\u9322\u8cb7\u4e0b\u9019\u5169\u500b\u5c08\u5229\uff0c\u4e26\u9078\u64c7 Kyber \u70ba\u6700\u5f8c\u7684\u52dd\u5229\u8005\u3002\u7531\u65bc\u4e4b\u524d\u5439\u54e8\u8005 Snowden \u4e8b\u4ef6\u4e2d\u5df2\u7d93\u6709\u4eba\u6307\u63a7\u904e\u7f8e\u570b\u570b\u5bb6\u5b89\u5168\u5c40 (NSA) \u80fd\u5920\u6307\u63ee NIST\uff0c\u56e0\u6b64 NIST \u7a76\u7adf\u6709\u4f55\u60f3\u6cd5\u53d7\u5230\u4e00\u4e9b\u8cea\u7591\u3002<\/p>\n![\"\u3010\u5c08\u6b04\u3011\u5f8c\u91cf\u5b50\u5bc6\u78bc\u5b78](\"https:\/newsletter.sinica.edu.tw\/wp-content\/uploads\/2022\/07\/3-1.png\")
<\/p>\n