{"id":620,"date":"2021-11-20T15:57:18","date_gmt":"2021-11-20T07:57:18","guid":{"rendered":"https:\/\/aic.leexinghai.com\/?p=620"},"modified":"2021-11-20T15:57:19","modified_gmt":"2021-11-20T07:57:19","slug":"h11116-%e7%ac%ac%e5%9b%9b%e7%ab%a0%e8%af%be%e5%90%8e%e4%b9%a0%e9%a2%98","status":"publish","type":"post","link":"https:\/\/www.leexinghai.com\/aic\/h11116-%e7%ac%ac%e5%9b%9b%e7%ab%a0%e8%af%be%e5%90%8e%e4%b9%a0%e9%a2%98\/","title":{"rendered":"H11116-\u7b2c\u56db\u7ae0\u8bfe\u540e\u4e60\u9898"},"content":{"rendered":"\n

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4.\u7528\u63a8\u5e7f\u7684Euclid\u7b97\u6cd5\u6c4267mod119\u7684\u9006\u5143<\/strong><\/p>\n\n\n\n

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67X\u22611mod119<\/p>\n\n\n\n
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$\"\"$
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$\"\"$
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$\"\"$
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2<\/td> 1<\/td> <\/td> 2<\/td><\/tr>
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<\/p>\n\n\n\n
10.\u8bbe\u901a\u4fe1\u53cc\u65b9\u4f7f\u7528RSA\u52a0\u5bc6\u4f53\u5236\uff0c\u63a5\u6536\u65b9\u7684\u516c\u5f00\u94a5\u662f\uff08e,n\uff09=(5,35),\u63a5\u6536\u5230\u7684\u5bc6\u6587\u662fC=10\uff0c\u6c42\u660e\u6587M\u3002<\/strong><\/p>\n\n\n\n
**\u89e3\uff1a<\/p>\n\n\n\n**
**\u7531\u5df2\u77e5\u5f97\uff1ae=5\uff0cn=35\uff0cC=10<\/p>\n\n\n\n**
**\u4f7f\u7528rsa\u52a0\u5bc6\u7b97\u6cd5\u6709C\u2261m^{e<\/sup>modn<\/p>\n\n\n\n}**
**\u5c06\u5df2\u77e5\u6761\u4ef6\u4ee3\u5165\u516c\u5f0f\u6709\uff1a<\/p>\n\n\n\n**
**10=m^{5<\/sup>mod35<\/p>\n\n\n\n}**
**\u4f7f\u7528py\u8ba1\u7b97\uff1a\u5f97\u56fe6<\/p>\n\n\n\n**
$\"\"$
\u56fe6<\/figcaption><\/figure><\/div>\n\n\n\n
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**18.\u692d\u5706\u66f2\u7ebfE_{11<\/sub>\uff081\uff0c6\uff09\u8868\u793ay2\u2261x3+x+6mod11,\u6c42\u5176\u4e0a\u7684\u6240\u6709\u70b9\u3002<\/strong><\/p>\n\n\n\n}**
**\u8ba1\u7b97\u6709\u56fe7<\/p>\n\n\n\n**
$\"\"$
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**(1)\u6c42A\u7684\u516c\u5f00\u94a5PA\u3002<\/p>\n\n\n\n**
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\u56fe1<\/figcaption><\/figure><\/div>\n\n\n\n
\u5373\u5b58\u5728\u4e00\u4e2aX\uff08X<a\uff09\uff0c\u4f7f\u5f97<\/p>\n\n\n\n
67X\u22611mod119<\/p>\n\n\n\n
\u6709X\u226167^{-1<\/sup>mod119<\/p>\n\n\n\n}
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\u56fe2<\/figcaption><\/figure><\/div>\n\n\n\n
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\u56fe3<\/figcaption><\/figure><\/div>\n\n\n\n
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**8.\u6c4225\u7684\u6240\u6709\u672c\u539f\u6839<\/strong><\/p>\n\n\n\n**
**\u89e3\uff1a<\/p>\n\n\n\n**
**\u7531\u5df2\u77e5\u5f97\uff1an=25<\/p>\n\n\n\n**
**\u6709<\/p>\n\n\n\n**
$\"\"$ <\/figure>\n\n\n\n
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\u56fe4<\/figcaption><\/figure><\/div>\n\n\n\n
\u6574\u7406\u5f97\u88681<\/p>\n\n\n\n
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2<\/td> 7<\/td> <\/td> 3<\/td><\/tr>
2<\/td> 8<\/td> <\/td> 6<\/td><\/tr>
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2<\/td> 11<\/td> <\/td> 23<\/td><\/tr>
2<\/td> 12<\/td> <\/td> 21<\/td><\/tr>
2<\/td> 13<\/td> <\/td> 17<\/td><\/tr>
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2<\/td> 15<\/td> <\/td> 18<\/td><\/tr>
2<\/td> 16<\/td> <\/td> 11<\/td><\/tr>
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2<\/td> 18<\/td> <\/td> 19<\/td><\/tr>
2<\/td> 19<\/td> <\/td> 13<\/td><\/tr>
2<\/td> 20<\/td> <\/td> 1<\/td><\/tr><\/tbody><\/table>
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$\"\"$
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2<\/td> 1<\/td> <\/td> 2<\/td><\/tr>
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<\/p>\n\n\n\n
10.\u8bbe\u901a\u4fe1\u53cc\u65b9\u4f7f\u7528RSA\u52a0\u5bc6\u4f53\u5236\uff0c\u63a5\u6536\u65b9\u7684\u516c\u5f00\u94a5\u662f\uff08e,n\uff09=(5,35),\u63a5\u6536\u5230\u7684\u5bc6\u6587\u662fC=10\uff0c\u6c42\u660e\u6587M\u3002<\/strong><\/p>\n\n\n\n
**\u89e3\uff1a<\/p>\n\n\n\n**
**\u7531\u5df2\u77e5\u5f97\uff1ae=5\uff0cn=35\uff0cC=10<\/p>\n\n\n\n**
**\u4f7f\u7528rsa\u52a0\u5bc6\u7b97\u6cd5\u6709C\u2261m^{e<\/sup>modn<\/p>\n\n\n\n}**
**\u5c06\u5df2\u77e5\u6761\u4ef6\u4ee3\u5165\u516c\u5f0f\u6709\uff1a<\/p>\n\n\n\n**
**10=m^{5<\/sup>mod35<\/p>\n\n\n\n}**
**\u4f7f\u7528py\u8ba1\u7b97\uff1a\u5f97\u56fe6<\/p>\n\n\n\n**
$\"\"$
\u56fe6<\/figcaption><\/figure><\/div>\n\n\n\n
\u6545\u660e\u6587M=5\u3002<\/p>\n\n\n\n
**18.\u692d\u5706\u66f2\u7ebfE_{11<\/sub>\uff081\uff0c6\uff09\u8868\u793ay2\u2261x3+x+6mod11,\u6c42\u5176\u4e0a\u7684\u6240\u6709\u70b9\u3002<\/strong><\/p>\n\n\n\n}**
**\u8ba1\u7b97\u6709\u56fe7<\/p>\n\n\n\n**
$\"\"$
\u56fe7<\/figcaption><\/figure>\n\n\n\n
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<\/p>\n\n\n\n
20.\u5229\u7528\u692d\u5706\u66f2\u7ebf\u5b9e\u73b0ELGamal\u5bc6\u7801\u4f53\u5236\uff0c\u8bbe\u692d\u5706\u66f2\u7ebf\u662fE11\uff081\uff0c6\uff09\uff0c\u751f\u6210\u5143G=\uff082\uff0c7\uff09\uff0c\u63a5\u6536\u65b9A\u7684\u79d8\u5bc6\u94a5nA=7.<\/strong><\/p>\n\n\n\n
**(1)\u6c42A\u7684\u516c\u5f00\u94a5PA\u3002<\/p>\n\n\n\n**
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