• 2022-06-09
    若已知一个 [tex=2.071x1.357]fKtHfy5PkM/VRAijZ52i8A==[/tex]循环码生成多项式为[tex=8.357x1.5]n4HJvClqbt1ZBeAWOj1DoBxhXMEF4M/jeyF+cIiDDGg=[/tex], 试求其生成矩阵。 
  • 解:循环码的生成矩阵的多项式形式为[tex=18.786x4.643]Sn9tiYOlmZ7h9vHEJ7cBW0rjqwgtCEfNumSJx5+rhXENjy2Ixu5mZ25SHSt8PLx27f98AtHY3+1Iwz7WpYDiDD3MPu6o03rTdGMcIMrOG5Md1XJwmFYL8pIi2fftGRm1sb3C9rzrt6fhHvPz9NUBpMPdiT0IA9KMIXDlFXvs5YjhfH/X4S15XQanwUrmVcbnz1AQ3t6YVH4Do7ifPBeRasjKHVLi//9qzbcdWrcA+5Fzu5WGrBo7oCll2zVQNa4amk/ryts6kdZGcbknxqikUw==[/tex]即[tex=13.929x3.5]hBdoVVdpaqs332htUvyoWZdWk6MmYO4kWL38V+67zkhkmUUDOoh/siNdUzhoX57CVotl/kWWts0UHAuDZmF5frZKa+Y9Hi0fhckwCHZ6uH1yDcrrfCitKNC3IkkzyO4c9ei42/0KeuZiy/8BEzRMAuibBUbBPN9xSopB+4MFrmZHLSa7fXxHspd5E5oxDxCMNb/pHCbuhZG6oaNqdYiWng==[/tex]

    举一反三

    内容

    • 0

      若[tex=2.071x1.357]fKtHfy5PkM/VRAijZ52i8A==[/tex]循环码的生成多项式是 [tex=7.929x1.5]5m6izDDFSAwXFIRIaiZTAXTY/EBPtDKDXRZ+7tNiLa8=[/tex], 请画出系统码编码电路。 

    • 1

      已知[tex=2.071x1.357]fKtHfy5PkM/VRAijZ52i8A==[/tex] 循环码的生成矩阵为[tex=7.429x3.5]krqLcez/NatiMpfHupaHv/jBV+daUeIEAvV3HGP7/6NJt7XUAYPw293TN4CfM3zjQyjckZx/nkC6ZffesezmeOiosuySiPKQuLl2ckZaZ0k=[/tex]若输入信息码为 [tex=1.5x1.0]SYPwVg8E46efdwmIbbbt2Q==[/tex] ,试写出对应的循环码码组;[br][/br]

    • 2

      已知一种[tex=2.071x1.357]fKtHfy5PkM/VRAijZ52i8A==[/tex]循环码的全部码组为[tex=18.0x2.357]CeOWlpLvH8Qhk/RmfIvBHYkVEkPOY8MuFlzJuPaF9YRDXiumO8Aw9HMXJ3FztJm0XTzE9WAIMhp/rwMwn0zTjQRGhMGd/A9A19vIj15rSms1FDLaa5aKyX8sP3SLQ3hfvZbUz3wtAMuHcY7Uc5OTtg==[/tex]试求:该循环码的生成多项式[tex=1.857x1.357]fBOYuAIZ/H4m1Dx+my86tg==[/tex]、典型生成矩阵[tex=0.786x1.0]LyvDGollVJ+xwurtsLcn0g==[/tex]和典型监督矩阵[tex=0.857x1.0]aPLFPHMGSKDwulHSwLWugg==[/tex];

    • 3

      已知[tex=2.071x1.357]fKtHfy5PkM/VRAijZ52i8A==[/tex]循环码的生成矩阵为[tex=7.429x3.5]krqLcez/NatiMpfHupaHv/jBV+daUeIEAvV3HGP7/6NJt7XUAYPw293TN4CfM3zjQyjckZx/nkC6ZffesezmeOiosuySiPKQuLl2ckZaZ0k=[/tex]该码能纠正几位错误?[br][/br]

    • 4

      已知[tex=2.071x1.357]GEir28FA4/d0c9UgaWIuCg==[/tex]循环码的生成多项式为[tex=6.643x1.5]Bre+i6lXDwBsmXjLBQVm94tJpC6LKjpDFYhU4eZTMUk=[/tex]试求该[tex=2.071x1.357]GEir28FA4/d0c9UgaWIuCg==[/tex]循环码的典型生成矩阵和典型监督矩阵;[br][/br]