{"id":5466,"date":"2022-01-09T01:31:22","date_gmt":"2022-01-09T09:31:22","guid":{"rendered":"https:\/\/www.xh86.me\/?p=5466"},"modified":"2022-01-09T02:31:40","modified_gmt":"2022-01-09T10:31:40","slug":"%e7%a1%ac%e6%a0%b8%ef%bc%81%e7%bb%88%e4%ba%8e%e6%9c%89%e4%ba%ba%e6%8a%8acrc%e8%ae%b2%e6%b8%85%e6%a5%9a%e4%ba%86%ef%bc%81","status":"publish","type":"post","link":"https:\/\/www.xh86.me\/?p=5466","title":{"rendered":"\u7ec8\u4e8e\u6709\u4eba\u628aCRC\u8bb2\u6e05\u695a\u4e86\uff01"},"content":{"rendered":"
\n
\n

\u5faa\u73af\u5197\u4f59\u6821\u9a8cCRC\uff08Cyclic Redundancy Check\uff09\u662f\u6570\u636e\u901a\u4fe1\u9886\u57df\u5e38\u7528\u7684\u4e00\u79cd\u6570\u636e\u4f20\u8f93\u68c0\u9519\u6280\u672f\u3002\u901a\u8fc7\u5728\u53d1\u9001\u7aef\u5bf9\u6570\u636e\u6309\u7167\u67d0\u79cd\u7b97\u6cd5\u8ba1\u7b97\u51fa\u6821\u9a8c\u7801\uff0c\u5e76\u5c06\u5f97\u5230\u7684\u6821\u9a8c\u7801\u9644\u5728\u6570\u636e\u5e27\u7684\u540e\u9762\uff0c\u4e00\u8d77\u53d1\u9001\u5230\u63a5\u6536\u7aef\u3002\u63a5\u6536\u7aef\u5bf9\u6536\u5230\u7684\u6570\u636e\u548c\u6821\u9a8c\u7801\u6309\u7167\u76f8\u540c\u7b97\u6cd5\u8fdb\u884c\u9a8c\u8bc1\uff0c\u4ee5\u6b64\u5224\u65ad\u63a5\u6536\u5230\u7684\u6570\u636e\u662f\u5426\u6b63\u786e\u3001\u5b8c\u6574\u3002<\/p>\n

\u76ee\u5f55<\/span><\/h1>\n
    \n
  • \n
    CRC\u7b80\u4ecb<\/section>\n<\/li>\n
  • \n
    CRC\u662f\u5982\u4f55\u8ba1\u7b97\u7684\uff1f<\/section>\n<\/li>\n
  • \n
    CRC\u9519\u8bef\u5982\u4f55\u5904\u7406\uff1f<\/section>\n<\/li>\n<\/ul>\n

    CRC\u7b80\u4ecb<\/span><\/h1>\n

    \u6211\u4eec\u77e5\u9053\uff0c\u6570\u636e\u5728\u4f20\u8f93\u8fc7\u7a0b\u4e2d\u53ef\u80fd\u4f1a\u56e0\u4e3a\u4f20\u8f93\u4ecb\u8d28\u6545\u969c\u6216\u5916\u754c\u7684\u5e72\u6270\u800c\u4ea7\u751f\u6bd4\u7279\u5dee\u9519\uff08\u4f7f\u539f\u6765\u76840\u53d8\u4e3a1\uff0c\u539f\u6765\u76841\u53d8\u4e3a0\uff09\uff0c\u4ece\u800c\u5bfc\u81f4\u63a5\u6536\u65b9\u63a5\u6536\u5230\u9519\u8bef\u7684\u6570\u636e\u3002\u4e3a\u5c3d\u91cf\u63d0\u9ad8\u63a5\u6536\u65b9\u6536\u5230\u6570\u636e\u7684\u6b63\u786e\u7387\uff0c\u5728\u63a5\u6536\u6570\u636e\u4e4b\u524d\u9700\u8981\u5bf9\u6570\u636e\u8fdb\u884c\u5dee\u9519\u68c0\u6d4b\uff0c\u4ec5\u5f53\u68c0\u6d4b\u7684\u7ed3\u679c\u4e3a\u6b63\u786e\u65f6\u624d\u63a5\u6536\u6570\u636e\u3002<\/p>\n

    \u5dee\u9519\u68c0\u6d4b\u7684\u65b9\u5f0f\u6709\u591a\u79cd\uff0c\u5e38\u89c1\u7684\u6709\u5947\u5076\u6821\u9a8c\u3001\u6c42\u548c\u6821\u9a8c\u3001CRC\u6821\u9a8c\u7b49\u3002\u4ed6\u4eec\u7684\u5de5\u4f5c\u539f\u7406\u90fd\u662f\u53d1\u9001\u7aef\u5bf9\u6570\u636e\u6309\u7167\u67d0\u79cd\u7b97\u6cd5\u8ba1\u7b97\u51fa\u6765\u6821\u9a8c\u7801\uff0c\u5c06\u6821\u9a8c\u7801\u548c\u6570\u636e\u4e00\u8d77\u53d1\u9001\u5230\u63a5\u6536\u7aef\uff0c\u7136\u540e\u63a5\u6536\u7aef\u8fdb\u884c\u68c0\u9a8c\u786e\u5b9a\u6570\u636e\u662f\u5426\u53d1\u751f\u53d8\u5316\u3002<\/p>\n

    CRC\u662f\u7531W. Wesley Peterson\u57281961\u5e74\u53d1\u8868\u7684\u8bba\u6587\u4e2d\u63d0\u51fa\uff0c\u7531\u4e8eCRC\u6821\u9a8c\u5728\u901f\u5ea6\u3001\u6210\u672c\u3001\u6b63\u786e\u7387\u7b49\u65b9\u9762\u6bd4\u5176\u4ed6\u6821\u9a8c\u65b9\u5f0f\u66f4\u5177\u6709\u4f18\u52bf\uff0c\u56e0\u6b64\uff0cCRC\u6210\u4e3a\u8ba1\u7b97\u673a\u4fe1\u606f\u3001\u901a\u4fe1\u9886\u57df\u6700\u4e3a\u666e\u904d\u7684\u6821\u9a8c\u65b9\u5f0f\u3002\u4f8b\u5982\u5728\u6807\u51c6\u7684\u4ee5\u592a\u5e27\u683c\u5f0f\u4e2d\uff0c\u6700\u540e\u67094\u4e2a\u5b57\u8282\u957f\u5ea6\u7684\u5197\u4f59\u4f4d\uff0c\u7528\u4e8e\u5b58\u50a8CRC\u6821\u9a8c\u7684\u503c\uff0c\u8fd9\u4e2a\u5197\u4f59\u4f4d\u53c8\u5e38\u79f0\u4e3a\u5e27\u68c0\u9a8c\u5e8f\u5217FCS\uff08Frame Check Sequence\uff09\u3002<\/p>\n

    <\/div><\/p>\n

    \u4ee5\u592a\u5e27\u7ed3\u6784<\/span><\/p>\n

    CRC\u662f\u5982\u4f55\u8ba1\u7b97\u7684\uff1f<\/span><\/h1>\n

    CRC\u7684\u601d\u60f3\u5c31\u662f\u5148\u5728\u8981\u53d1\u9001\u7684K\u6bd4\u7279\u957f\u5ea6\u7684\u6570\u636e\u540e\u9762\u9644\u52a0\u4e00\u4e2aR\u6bd4\u7279\u957f\u5ea6\u7684\u6821\u9a8c\u7801\uff0c\u7136\u540e\u751f\u6210\u4e00\u4e2a\u65b0\u5e27\u53d1\u9001\u7ed9\u63a5\u6536\u7aef\u3002\u63a5\u6536\u7aef\u63a5\u6536\u5230\u65b0\u5e27\u540e\uff0c\u6839\u636e\u6536\u5230\u7684\u6570\u636e\u548c\u6821\u9a8c\u7801\u6765\u9a8c\u8bc1\u63a5\u6536\u5230\u7684\u6570\u636e\u662f\u5426\u6b63\u786e\u3002<\/p>\n

    <\/div><\/p>\n

    \u6570\u636e+\u6821\u9a8c\u7801\u793a\u4f8b\u00a0<\/span><\/p>\n

    \u5f53\u7136\uff0c\u8fd9\u4e2a\u9644\u52a0\u7684\u6821\u9a8c\u7801\u4e0d\u662f\u968f\u610f\u6dfb\u52a0\u7684\uff0c\u8981\u4f7f\u6240\u751f\u6210\u7684\u65b0\u5e27\u80fd\u4e0e\u53d1\u9001\u7aef\u548c\u63a5\u6536\u7aef\u5171\u540c\u9009\u5b9a\u7684\u67d0\u4e2a\u7279\u5b9a\u6570\u6574\u9664\uff08\u201c\u6a212\u9664\u6cd5\u201d\uff09\u3002\u63a5\u6536\u7aef\u628a\u63a5\u6536\u5230\u7684\u65b0\u5e27\u9664\u4ee5\u8fd9\u4e2a\u9009\u5b9a\u7684\u9664\u6570\u3002\u56e0\u4e3a\u5728\u53d1\u9001\u6570\u636e\u5e27\u4e4b\u524d\u5c31\u5df2\u901a\u8fc7\u9644\u52a0\u4e00\u4e2a\u6570\uff0c\u505a\u4e86\u201c\u53bb\u4f59\u201d\u5904\u7406\uff08\u4e5f\u5c31\u5df2\u7ecf\u80fd\u6574\u9664\u4e86\uff09\uff0c\u6240\u4ee5\u7ed3\u679c\u5e94\u8be5\u662f\u6ca1\u6709\u4f59\u6570\u3002\u5982\u679c\u6709\u4f59\u6570\uff0c\u5219\u8868\u660e\u8be5\u5e27\u5728\u4f20\u8f93\u8fc7\u7a0b\u4e2d\u51fa\u73b0\u4e86\u5dee\u9519\u3002<\/p>\n

    \u5728K\u6bd4\u7279\u6570\u636e\u540e\u9762\u518d\u62fc\u63a5R\u6bd4\u7279\u7684\u6821\u9a8c\u7801\uff0c\u6574\u4e2a\u7f16\u7801\u957f\u5ea6\u4e3aN\u6bd4\u7279\uff0c\u8fd9\u79cd\u7f16\u7801\u4e5f\u53eb(N,K)\u7801\u3002\u5bf9\u4e8e\u4e00\u4e2a\u7ed9\u5b9a\u7684(N,K)\u7801\uff0c\u53ef\u4ee5\u8bc1\u660e\u5b58\u5728\u4e00\u4e2a\u6700\u9ad8\u6b21\u5e42\u4e3aN-K=R\u7684\u591a\u9879\u5f0fg(x)\uff0c\u6839\u636eg(x)\u53ef\u4ee5\u751f\u6210R\u6bd4\u7279\u7684\u6821\u9a8c\u7801\u3002\u5176\u7b97\u6cd5\u662f\u4ee5GF(2)\u591a\u9879\u5f0f\u7b97\u672f\u4e3a\u6570\u5b66\u57fa\u7840\u7684\uff0c\u539f\u7406\u5982\u4e0b\u56fe\u6240\u793a\u3002<\/p>\n

    <\/div><\/p>\n

    CRC\u8ba1\u7b97\u516c\u5f0f\u00a0<\/span><\/p>\n

    g(x)\u53eb\u505a\u8fd9\u4e2a\u6821\u9a8c\u7801\u7684\u751f\u6210\u591a\u9879\u5f0f\u3002\u4e0d\u540c\u7684CRC\u751f\u6210\u591a\u9879\u5f0f\uff0c\u5176\u68c0\u9519\u80fd\u529b\u662f\u4e0d\u540c\u7684\u3002\u8981\u4f7f\u7528R\u4f4d\u6821\u9a8c\u7801\uff0c\u751f\u6210\u591a\u9879\u5f0f\u7684\u6b21\u5e42\u5e94\u4e3aR\u3002\u4ee5\u4e0b\u4e3a\u5e38\u89c1\u7684\u4e00\u4e9b\u6807\u51c6\u591a\u9879\u5f0f\u3002<\/p>\n

    <\/div><\/p>\n

    \u5e38\u89c1\u751f\u6210\u591a\u9879\u5f0f<\/span><\/p>\n

    \u8fd9\u4e9b\u591a\u9879\u5f0f\u7684\u503c\u4fbf\u662f\u6a212\u9664\u6cd5\u7684\u9664\u6570\u3002\u800c\u6839\u636e\u8fd9\u4e2a\u9664\u6570\u83b7\u5f97\u6821\u9a8c\u7801\u5e76\u8fdb\u884c\u6821\u9a8c\u7684\u539f\u7406\u53ef\u4ee5\u5206\u4e3a\u4ee5\u4e0b\u51e0\u4e2a\u6b65\u9aa4\uff1a<\/p>\n

      \n
    • \n
      \u53d1\u9001\u7aef\u3001\u63a5\u6536\u7aef\u5728\u901a\u4fe1\u524d\uff0c\u7ea6\u5b9a\u597d\u9664\u6570P\uff0c\u4e5f\u5c31\u662f\u524d\u9762\u8bf4\u7684\u591a\u9879\u5f0f\u7684\u503c\u3002P\u5e94\u8be5\u662fR+1\u4f4d\u957f\u5ea6\uff1b<\/section>\n<\/li>\n
    • \n
      \u53d1\u9001\u7aef\u9996\u5148\u5728\u539f\u6765\u7684K\u4f4d\u6570\u636e\u540e\u9762\u52a0R\u4e2a0\uff0c\u76f8\u5f53\u4e8e\u539f\u6765\u7684\u6570\u636e\u5de6\u79fb\u4e86R\u4f4d\uff1b<\/section>\n<\/li>\n
    • \n
      \u7136\u540e\u8fdb\u884c\u6a212\u9664\u6cd5\u8fd0\u7b97\uff08\u5176\u5b9e\u5c31\u662f\u5f02\u6216XOR\u8fd0\u7b97\uff09\uff0c\u5c06\u52a00\u4e4b\u540e\u7684K+R\u4f4d\u7684\u6570\u9664\u4ee5P\uff0c\u5faa\u73af\u8ba1\u7b97\uff0c\u76f4\u5230\u4f59\u6570\u7684\u9636\u6570\u5c0f\u4e8eR\uff0c\u8fd9\u4e2a\u4f59\u6570\u5c31\u662f\u9644\u52a0\u7684\u6821\u9a8c\u7801\uff0c\u5982\u679c\u957f\u5ea6\u4e0d\u8db3R\u4f4d\u9700\u8981\u5728\u524d\u9762\u52a00\u8865\u9f50\uff1b<\/section>\n<\/li>\n
    • \n
      \u53d1\u9001\u7aef\u5c06R\u4f4d\u6821\u9a8c\u7801\u9644\u52a0\u5728\u539f\u6570\u636e\u540e\u9762\u53d1\u9001\u7ed9\u63a5\u6536\u65b9\uff1b<\/section>\n<\/li>\n
    • \n
      \u63a5\u6536\u65b9\u63a5\u6536\u5230\u6570\u636e\u540e\uff0c\u5c06\u6570\u636e\u4ee5\u6a212\u9664\u6cd5\u65b9\u5f0f\u9664\u4ee5\u9664\u6570P\u3002\u5982\u679c\u6ca1\u6709\u4f59\u6570\uff0c\u8bf4\u660e\u5728\u4f20\u8f93\u8fc7\u7a0b\u4e2d\u6ca1\u6709\u51fa\u73b0\u9519\u8bef\uff0c\u5426\u5219\u8bf4\u660e\u6709\u9519\u8bef\u3002<\/section>\n<\/li>\n<\/ul>\n

      \u4e0b\u9762\u4ee5\u4e00\u4e2a\u7b80\u5355\u793a\u4f8b\u6765\u5c55\u793aCRC\u7684\u8ba1\u7b97\u8fc7\u7a0b\uff1a<\/p>\n

      \u4ee5g(x)\u4e3aCRC-4=X4+X+1\u4e3a\u4f8b\uff0c\u6b64\u65f6\u9664\u6570P=10011\u3002\u5047\u8bbe\u6e90\u6570\u636eM\u4e3a10110011\u3002<\/p>\n

      \u5728\u53d1\u9001\u7aef\u5c06M\u5de6\u79fb4\u4f4d\uff0c\u7136\u540e\u9664\u4ee5P\u3002<\/p>\n

      <\/div><\/p>\n

      \u53d1\u9001\u7aefCRC\u8ba1\u7b97\u793a\u4f8b\u00a0<\/span><\/p>\n

      \u8ba1\u7b97\u5f97\u5230\u7684\u4f59\u6570\u5c31\u662f0100\uff0c\u4e5f\u5c31\u662fCRC\u6821\u9a8c\u7801\u3002\u5c060100\u9644\u52a0\u5230\u539f\u59cb\u6570\u636e\u5e2710110011\u540e\uff0c\u7ec4\u6210\u65b0\u5e27101100110100\u53d1\u9001\u7ed9\u63a5\u6536\u7aef\u3002\u63a5\u6536\u7aef\u63a5\u6536\u5230\u8be5\u5e27\u540e\uff0c\u4f1a\u7528\u8be5\u5e27\u53bb\u9664\u4ee5\u4e0a\u9762\u9009\u5b9a\u7684\u9664\u6570P\uff0c\u9a8c\u8bc1\u4f59\u6570\u662f\u5426\u4e3a0\uff0c\u5982\u679c\u4e3a0\uff0c\u5219\u8868\u793a\u6570\u636e\u5728\u4f20\u8f93\u8fc7\u7a0b\u4e2d\u6ca1\u6709\u51fa\u73b0\u5dee\u9519\u3002<\/p>\n

      <\/div><\/p>\n

      \u63a5\u6536\u7aefCRC\u6821\u9a8c\u793a\u4f8b<\/span><\/p>\n

      CRC\u9519\u8bef\u5982\u4f55\u5904\u7406\uff1f<\/span><\/h1>\n

      \u7f51\u7edc\u8bbe\u5907\u7684\u63a5\u53e3\u5076\u5c14\u51fa\u73b0\u6781\u5c11\u91cf\u7684CRC\u9519\u5305\u53ef\u4ee5\u4e0d\u7528\u5173\u6ce8\u3002\u5982\u679c\u662f\u63a5\u53e3\u6301\u7eed\u4ea7\u751fCRC\u9519\u5305\uff0c\u4e00\u822c\u4e3b\u8981\u7531\u4f20\u8f93\u4ecb\u8d28\u5bfc\u81f4\u7684\uff0c\u6bd4\u5982\u8fde\u63a5\u7684\u53cc\u7ede\u7ebf\u6216\u8005\u5149\u7ea4\u8d28\u91cf\u6709\u95ee\u9898\uff0c\u63a5\u53e3\u5149\u6a21\u5757\u5f02\u5e38\u7b49\u3002\u6b64\u65f6\u53ef\u5c1d\u8bd5\u66f4\u6362\u63a5\u53e3\u6216\u5149\u6a21\u5757\u3001\u7ebf\u7f06\u7b49\uff0c\u7136\u540e\u518d\u68c0\u67e5\u6b64\u95ee\u9898\u662f\u5426\u5df2\u89e3\u51b3\u3002<\/p>\n<\/section>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

      \u5faa\u73af\u5197\u4f59\u6821\u9a8cCRC\uff08Cyclic Redundancy Check\uff09\u662f\u6570\u636e\u901a\u4fe1\u9886\u57df\u5e38\u7528\u7684\u4e00\u79cd\u6570\u636e\u4f20\u8f93\u68c0\u9519\u6280\u672f\u3002 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[8],"tags":[],"class_list":["post-5466","post","type-post","status-publish","format-standard","hentry","category-cisco"],"_links":{"self":[{"href":"https:\/\/www.xh86.me\/index.php?rest_route=\/wp\/v2\/posts\/5466","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.xh86.me\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.xh86.me\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.xh86.me\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.xh86.me\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5466"}],"version-history":[{"count":1,"href":"https:\/\/www.xh86.me\/index.php?rest_route=\/wp\/v2\/posts\/5466\/revisions"}],"predecessor-version":[{"id":5830,"href":"https:\/\/www.xh86.me\/index.php?rest_route=\/wp\/v2\/posts\/5466\/revisions\/5830"}],"wp:attachment":[{"href":"https:\/\/www.xh86.me\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5466"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.xh86.me\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5466"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.xh86.me\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5466"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}