{"id":186740,"date":"2020-10-19T08:31:13","date_gmt":"2020-10-19T00:31:13","guid":{"rendered":"http:\/\/4563.org\/?p=186740"},"modified":"2020-10-19T08:31:13","modified_gmt":"2020-10-19T00:31:13","slug":"%e8%8a%b1%e4%ba%86%e4%b8%a4%e5%a4%a9%e6%97%b6%e9%97%b4%e7%bb%88%e4%ba%8e%e7%9c%8b%e6%87%82-rsa-%e8%af%81%e6%98%8e%e8%bf%87%e7%a8%8b%ef%bc%8c%e7%9c%9f%e6%bb%b4%e6%98%af%e6%8b%8d%e6%a1%88%e5%8f%ab","status":"publish","type":"post","link":"http:\/\/4563.org\/?p=186740","title":{"rendered":"\u82b1\u4e86\u4e24\u5929\u65f6\u95f4\u7ec8\u4e8e\u770b\u61c2 rsa \u8bc1\u660e\u8fc7\u7a0b\uff0c\u771f\u6ef4\u662f\u62cd\u6848\u53eb\u7edd"},"content":{"rendered":"
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\u82b1\u4e86\u4e24\u5929\u65f6\u95f4\u7ec8\u4e8e\u770b\u61c2 rsa \u8bc1\u660e\u8fc7\u7a0b\uff0c\u771f\u6ef4\u662f\u62cd\u6848\u53eb\u7edd <\/h1>\n

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\u8cc7\u6df1\u5927\u4f6c : simonlu9 <\/span> <\/i> 5<\/span> <\/div>\n
<\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/p><\/div>\n
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\u8d34\u4e0a\u962e\u5927\u795e\u7684\u535a\u5ba2 https:\/\/www.ruanyifeng.com\/blog\/2013\/06\/rsa_algorithm_part_one.html<\/p>\n

\u5f53\u4e2d\u6d89\u53ca\u4e86\u4e2d\u56fd\u540c\u4f59\u5b9a\u7406\uff0c\u6b27\u62c9\u51fd\u6570\uff0c\u8865\u4e86\u8fd9\u4e9b\u57fa\u7840\u7b97\u52c9\u5f3a\u770b\u61c2\u3002\u4e86\u89e3\u5230\u6570\u5b66\u5b9a\u7406\u591a\u4e48\u91cd\u8981\uff0c\u4e00\u73af\u7d27\u6263\u4e00\u73af\uff0c\u6211\u5728\u60f3\u5f53\u65f6\u662f\u600e\u4e48\u53d1\u660e\uff0c\u77e5\u9053\u8fd9\u4e9b\u5b9a\u7406\u4e4b\u540e\u5728\u5012\u63a8\u56de\u53bb<\/p>\n

m^e \u2261 c (mod n) c^d \u2261 m (mod n) <\/code><\/pre>\n<\/p><\/div>\n
 \u5927\u4f6c\u6709\u8a71\u8aaa<\/b> (34<\/span>)        <\/div>\n
 <\/div>\n<\/p><\/div>\n<\/p><\/div>\n
    \n
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     \u8cc7\u6df1\u5927\u4f6c : qwertyegg <\/span>  <\/div>\n
     <\/i>            <\/span> <\/div>\n<\/p><\/div>\n
                                                                 \u4e0d\u8981\u8138\u63a8\u4e00\u4e0b\u6211\u81ea\u5df1\u5199\u7684 intro tutorial<\/p>\n
    https:\/\/github.com\/DogtorDoggo\/rsa-guide<\/p>\n
    \u672c\u6765\u6253\u7b97\u5199\u4e00\u4e0b\u8981\u6ce8\u610f\u7684\u5751\uff0c\u4f46\u662f\u4e00\u76f4\u62d6\u5ef6\u5230\u73b0\u5728\u90fd\u6ca1\u5199                                                            <\/p><\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : easonHHH <\/span>  <\/div>\n
     <\/i>            <\/span> <\/div>\n<\/p><\/div>\n
                                                                 \u6ca1\u4e86\u89e3\u4e4b\u524d\u5c31\u7279\u522b\u597d\u5947\uff0c\u7b97\u6cd5\u8fc7\u7a0b\u90fd\u662f\u516c\u5f00\u7684\uff0c\u4e0d\u5c31\u5f88\u5bb9\u6613\u7834\u89e3\u5417\uff1b\u4e86\u89e3\u539f\u7406\u5c31\u660e\u767d\u4e86\uff0c\u725b\u76ae\uff0c\u692d\u5706\u66f2\u7ebf\u52a0\u5bc6\u4e5f\u662f                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u4e3b<\/span> \u8cc7\u6df1\u5927\u4f6c : simonlu9 <\/span>  <\/div>\n
     <\/i>            <\/span> <\/div>\n<\/p><\/div>\n
                                                                 @easonHHH \u8a00\u4e4b\u6709\u7406                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : kuro1 <\/span>  <\/div>\n
     <\/i>            <\/span> <\/div>\n<\/p><\/div>\n
                                                                 \u5927\u4e09\u8ba1\u7b97\u673a\u7f51\u7edc\u5b89\u5168\u5176\u4e2d\u4e00\u7ae0                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : vision1900 <\/span>  <\/div>\n
     <\/i>            <\/span> <\/div>\n<\/p><\/div>\n
                                                                 \u91cf\u5b50\u8ba1\u7b97\u673a\uff1aHold my beer                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : user8341 <\/span>  <\/div>\n
     <\/i>            <\/span> <\/div>\n<\/p><\/div>\n
                                                                 \u4e3b\u725b X \u554a\u3002<\/p>\n
    \u6570\u5b66\u5b9a\u7406\u8bc1\u660e\u53ea\u7ed9\u51fa\u4e00\u4e2a\u5b8c\u7f8e\u7684\u63a8\u7406\u8fc7\u7a0b\u3002\u6ca1\u544a\u8bc9\u6211\u4eec\u4f5c\u8005\u5982\u4f55\u60f3\u5230\u8fd9\u4e2a idea \u7684\u601d\u8003\u8fc7\u7a0b\u3002                                                            <\/p><\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : FutherAll <\/span>  <\/div>\n
     <\/i>            <\/span> <\/div>\n<\/p><\/div>\n
                                                                 https:\/\/furthergo.github.io\/rsa                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : FutherAll <\/span>  <\/div>\n
     <\/i>            <\/span> <\/div>\n<\/p><\/div>\n
                                                                 @FutherAll \u5468\u672b\u521a\u597d\u5199\u4e86\u4e00\u7bc7\uff0c\u611f\u89c9\u6b27\u62c9\u5b9a\u7406\u7684\u8bc1\u660e\u90e8\u5206\u6bd4\u8f83\u9ebb\u70e6                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : hatebugs <\/span>  <\/div>\n
     <\/i>            <\/span> <\/div>\n<\/p><\/div>\n
                                                                 \u5f53\u5e74\u5bc6\u7801\u5b66\u8001\u5e08\u7ed9\u6211\u4eec\u8bc1\u660e\u4e86\u597d\u51e0\u8282\u8bfe\uff0c\u8bf4\u5b9e\u8bdd\u542c\u7684\u5f88\u723d\u5f88\u987a\u7545\uff0c\u611f\u89c9\u5f88\u5947\u5999\u3002\u73b0\u5728\u8bc1\u660e\u7684\u7ec6\u8282\u5fd8\u7684\u5dee\u4e0d\u591a\u4e86\u3002                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : abersheeran <\/span>  <\/div>\n
     <\/i>            <\/span> <\/div>\n<\/p><\/div>\n
                                                                 \u563f\uff0c\u5efa\u8bae\u627e\u4efb\u4e00\u5927\u5b66\u7684\u516c\u5f00\u8bfe\u770b\u770b\u3002\u6bd4\u8fd9\u4e2a\u8fd8\u8be6\u7ec6\u7684\u3002                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : kindjeff <\/span>  <\/div>\n
     <\/i>            <\/span> <\/div>\n<\/p><\/div>\n
                                                                 http:\/\/www.matrix67.com\/blog\/archives\/5100                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : xenme <\/span>  <\/div>\n
     <\/i>            <\/span> <\/div>\n<\/p><\/div>\n
                                                                 \u4e4b\u524d\u89c1\u8fc7\u66f4\u795e\u5947\u7684\u52a0\u5bc6
    homomorphic encryption
    \u4e0a\u6b21\u770b\u5230\u8bf4\u5fae\u8f6f\u8fd8\u662f\u8c01\u6709\u5b9e\u73b0                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : BIAOXYZ <\/span>  <\/div>\n
     <\/i>            <\/span> <\/div>\n<\/p><\/div>\n
                                                                 \u51c6\u786e\u8bf4\u53ea\u662f\u6b27\u62c9\u5b9a\u7406\u548c\u6269\u5c55\u6b27\u51e0\u91cc\u5f97\u7b97\u6cd5\uff0c\u4e0d\u6d89\u53ca\u4e2d\u56fd\u5269\u4f59\u5b9a\u7406\u3002                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : itskingname <\/span>  <\/div>\n
     <\/i>            <\/span> <\/div>\n<\/p><\/div>\n
                                                                 @user8341 \u601d\u8003\u8fc7\u7a0b\u6211\u5199\u8fc7\u6587\u7ae0\uff1a
    https:\/\/mp.weixin.qq.com\/s\/GSReA2B16ICYBCqOPb8kJg
    https:\/\/mp.weixin.qq.com\/s\/vqpClrVLYaeq9KUmx-UB0A                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : lvybupt <\/span>  <\/div>\n
     <\/i>            <\/span> <\/div>\n<\/p><\/div>\n
                                                                 \u516c\u94a5\u52a0\u5bc6\u60f3\u6cd5\u6765\u6e90\u4e8e DH \u5728 1976 \u5e74\u53d1\u8868\u4e86\u4e00\u7bc7\u5177\u6709\u5f00\u521b\u6027\u7684\u8bba\u6587\u300a\u5bc6\u7801\u5b66\u7684\u65b0\u65b9\u5411\u300b(New Directions in Cryptography)
    \u8fd9\u4e24\u4e2a\u4eba\u4e5f\u56e0\u4e3a DH \u534f\u8bae\u83b7\u5f97\u4e86\u56fe\u7075\u5956                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : dlsflh <\/span>  <\/div>\n
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                                                                 @xenme \u6211\u8bb0\u5f97\u662f IBM                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : qwertqwert12345 <\/span>  <\/div>\n
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                                                                 \u79bb\u6563\u6570\u5b66\u8bfe\u5fc5\u8bb2\u7684\u3002\u3002\u3002\u3002\u3002\u3002                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : tonyaiken <\/span>  <\/div>\n
     <\/i>            <\/span> <\/div>\n<\/p><\/div>\n
                                                                 @easonHHH \u4e0d\u516c\u5f00\u7684\u53cd\u800c\u5bb9\u6613\u7834\u89e3\uff0c\u56e0\u4e3a\u5b89\u5168\u6027\u6ca1\u6709\u88ab\u5e7f\u6cdb\u9a8c\u8bc1                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : zzw1998 <\/span>  <\/div>\n
     <\/i>            <\/span> <\/div>\n<\/p><\/div>\n
                                                                 \u6211\u8bb0\u5f97\u8fd9\u662f\u79bb\u6563\u6570\u5b66\u7684\u4e00\u8282\u8bfe\u7684\u5185\u5bb9                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : Perry <\/span>  <\/div>\n
     <\/i>            <\/span> <\/div>\n<\/p><\/div>\n
                                                                 \u5927\u5b66\u91cc\u6ca1\u5b66\u8fc7\u5417                                                             <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : aliceclark <\/span>  <\/div>\n
     <\/i>            <\/span> <\/div>\n<\/p><\/div>\n
                                                                 \u5f53\u521d\u81ea\u5df1\u4e0a\u8bfe\u7684\u65f6\u5019\u624b\u5199\u4e00\u904d RSA\uff0cAES \u7684\u7b80\u5316\u7248\u7b80\u76f4\u662f\u6536\u83b7\u9887\u591a                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : constexpr <\/span>  <\/div>\n
     <\/i>            <\/span> <\/div>\n<\/p><\/div>\n
                                                                 \u6253\u6270\u4e86\uff0c\u770b\u5230\u6570\u8bba\u5c31\u5934\u5927                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : watzds <\/span>  <\/div>\n
     <\/i>            <\/span> <\/div>\n<\/p><\/div>\n
                                                                 \u5927\u4e00\u8fd8\u8981\u7528 c \u5b9e\u73b0\u8fd9\u4e2a\u7b97\u6cd5\u5462\uff0c\u5148\u5199\u597d\u5927\u6570\u52a0\u51cf\u4e58\u9664\uff0c\u7d20\u6027\u68c0\u6d4b\uff0c\u6700\u540e\u53ea\u5b9e\u73b0\u5230\u5bfb\u627e\u5927\u7d20\u6570                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : littlewing <\/span>  <\/div>\n
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                                                                 \u6211\u9009\u62e9\u653e\u5f03                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : p1gd0g <\/span>  <\/div>\n
     <\/i>            <\/span> <\/div>\n<\/p><\/div>\n
                                                                 \u5bc6\u7801\u5b66\u7814\u7a76\u751f\u8def\u8fc7~
    \u6709\u610f\u601d\u7684\u5bc6\u7801\u7b97\u6cd5\u53ef\u591a\u4e86\uff0c\u53ea\u4e0d\u8fc7\u8fd9\u4e2a\u5708\u5b50\u8fd8\u662f\u592a\u5c0f\u4f17\u4e86\u3002                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : lingxi27 <\/span>  <\/div>\n
     <\/i>            <\/span> <\/div>\n<\/p><\/div>\n
                                                                 \u5b9e\u7528\u7684 rsa \u548c\u6559\u79d1\u4e66\u7684 rsa \u8fd8\u662f\u5f88\u4e0d\u4e00\u6837\u7684                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : gunpowderfans <\/span>  <\/div>\n
     <\/i>            <\/span> <\/div>\n<\/p><\/div>\n
                                                                 \u6240\u4ee5\u5927\u5b66\u4fe1\u606f\u5b89\u5168\u4e13\u4e1a\u7684\u6570\u5b66\u8bfe\u7a0b\u662f\u6700\u591a\u7684                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : bsmagic <\/span>  <\/div>\n
     <\/i>            <\/span> <\/div>\n<\/p><\/div>\n
                                                                 RSA \u7684\u4e0b\u4e00\u4ee3\u662f\u4ec0\u4e48                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u4e3b<\/span> \u8cc7\u6df1\u5927\u4f6c : simonlu9 <\/span>  <\/div>\n
     <\/i>            <\/span> <\/div>\n<\/p><\/div>\n
                                                                 @bsmagic \u641e\u5b9a\u5927\u7d20\u6570\u5206\u89e3\u5c31\u53ef\u4ee5\u4e0b\u4e00\u4ee3\u5566\uff0c\u76ee\u524d\u8fd8\u7b97\u6bd4\u8f83\u5b89\u5168\u5427                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : aliceclark <\/span>  <\/div>\n
     <\/i>            <\/span> <\/div>\n<\/p><\/div>\n
                                                                 @bsmagic \u76ee\u524d\u8fd8\u662f\u633a\u770b\u597d\u91cf\u5b50\u8ba1\u7b97\u673a\u7684\u5927\u7d20\u6570\u5206\u89e3\u7684\uff0c\u771f\u6b63\u5b9e\u7528\u4e86\u4e4b\u540e\u771f\u662f\u4e0d\u6562\u60f3\u8c61\uff0c\u90a3\u4e48\u591a RSA \u7684\u5e94\u7528\u90fd\u8981\u51c9\u3002
    \u53cd\u5012\u662f\u5bf9\u79f0\u52a0\u5bc6\u5bf9\u91cf\u5b50\u8ba1\u7b97\u673a\u8fd8\u633a resisted \u7684\uff0c\u8fd8\u6709\u597d\u591a\u540e\u91cf\u5b50\u65f6\u4ee3\u7684\u52a0\u5bc6\u7684\u5019\u9009\uff0c\u4ec0\u4e48 lattice \u5566\uff0c\u8d85\u5947\u827a\u692d\u5706\u66f2\u7ebf\u5565\u7684                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : bsmagic <\/span>  <\/div>\n
     <\/i>            <\/span> <\/div>\n<\/p><\/div>\n
                                                                 @aliceclark \u611f\u89c9\u91cf\u5b50\u8ba1\u7b97\u673a\u5c31\u662f\u4e2a\u5671\u5934\uff0c\u76ee\u524d\u6765\u770b\u90fd\u662f\u5dee\u5f3a\u4eba\u610f\u3002                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : shm7 <\/span>  <\/div>\n
     <\/i>            <\/span> <\/div>\n<\/p><\/div>\n
                                                                 \u597d\u4e45\u524d \u4fe1\u606f\u5b89\u5168\u8bfe\u4e0a\u7684\u95ee\u9898\uff0c\u4e0d\u8fc7 rsa \u5e94\u8be5\u51e0\u4e2a\u5c0f\u65f6\u5c31\u80fd\u7834\u89e3\u4e86\u73b0\u5728\u3002                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : xenme <\/span>  <\/div>\n
     <\/i>            <\/span> <\/div>\n<\/p><\/div>\n
                                                                 @shm7 \u4f60\u8fd9\u54ea\u91cc\u6765\u7684\u7ed3\u8bba\uff1f
    \u73b0\u5728\u8bc1\u4e66\u4e3b\u6d41\u8fd8\u662f RSA\uff0c\u51e0\u4e2a\u5c0f\u65f6\uff0c\u90a3\u4e0d\u662f\u5230\u5904\u90fd\u662f\u52ab\u6301\u4e86\u3002                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
  • \n
    \n
    \n
     \u8cc7\u6df1\u5927\u4f6c : joydee <\/span>  <\/div>\n
     <\/i>            <\/span> <\/div>\n<\/p><\/div>\n
                                                                 @xenme \u662f IBM 6 \u6708\u4efd\u63a8\u51fa\u6765\u7684\uff0c
    \u539f\u59cb\u6587\u7ae0:https:\/\/www.ibm.com\/blogs\/research\/2020\/06\/ibm-releases-fully-homomorphic-encryption-toolkit-for-macos-and-ios-linux-and-android-coming-soon\/
    \u76f8\u5173\u5f00\u6e90\u5730\u5740:https:\/\/github.com\/homenc\/HElib\/ 
    \u4e0d\u8fc7\u592a\u6666\u6da9\u4e86\uff0c\u8bba\u6587\u53ea\u770b\u61c2\u4e86\u70b9\u76ae\u6bdb                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
  • \n","protected":false},"excerpt":{"rendered":"
    \u82b1\u4e86\u4e24\u5929\u65f6\u95f4\u7ec8\u4e8e\u770b\u61c2 rsa \u8bc1\u660e…<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[],"tags":[],"_links":{"self":[{"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/posts\/186740"}],"collection":[{"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/4563.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=186740"}],"version-history":[{"count":0,"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/posts\/186740\/revisions"}],"wp:attachment":[{"href":"http:\/\/4563.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=186740"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/4563.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=186740"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/4563.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=186740"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}