• 2022-06-09
     (15,5) 循环码的生成多项式为: [tex=13.5x1.5]GIKg1qo5B9op7hrsqWmGBIoJ7nQwJH5yg11ECZMRAPK/WyN8J6c92Qc8lrXZojZy[/tex]试求:  写出该码的系统形式的生成矩阵和一致校验矩阵;
  • 解 [tex=11.571x5.786]PIak5GQdBqGUzEAptxxv/bd9U5gshAHgMvw3E263OmkkzFLS+ejBsz4iOcGCOaYzdhJjPnKFUjBSwvtc6EVE5CnySKG49ytGar0oo3Rfp6K3jCxM0IX6iBTepa1Whd5AegGfWeB1gywCInVpSGsnGrrWrRjg8U6gZPNhguyrmYliOLIc4YyJA4WE7ijMXnYG[/tex][tex=11.643x11.214]E/CBeHziQKQ0sPcq43hZvoHpJHDKda1rY9XESlpM6jq5WT5s281lgD4WQPf2k7yE37Vos2WjJ0DfQ3m536Zf0Z08KEAcD7u4E7rnldJDaXOHkM+7ITtQkBXG9syaHMDuS9lGXEThFZy9eKs8BOOkCGCvuQOw+UT+j9LETuyhiEFFc9fSN12lM7LxeDT0DQu3DoljcAGk9b0mT7PSBvaahJsoB3CCj4yvVT0/JICu/i8fIht6lEQ7sDJGZQ+8uWJU46JkYaf5FzxiGP/bPJUYVPjM1x9hI3YswupVabrnQ6ZdFqsmLZk3learCH7TGGNe[/tex]

    内容

    • 0

      . 已知[tex=2.071x1.357]fKtHfy5PkM/VRAijZ52i8A==[/tex] 循环码的生成矩阵为[tex=13.5x3.5]Sn9tiYOlmZ7h9vHEJ7cBWz6hYtN6pEQebQDCS/1hZS3SY2Gq+CDlOuW7LI5lnUMvdlYxn/gqzsH5CHc+KUq912S8kbbM2JI9Oz1ccuos+IYjUZN6Go/EhRh7qvb3lGN9sxTWOGfovxNx6we5NUwOTW07h2TixaMYpX0tovBxsseDfnFtSVjfV0xwTIPAAOTqG8FEXMz6ajMu3obo0aWKkw==[/tex]试写出该码的生成多项式 [tex=1.857x1.357]fBOYuAIZ/H4m1Dx+my86tg==[/tex]和监督矩阵[tex=1.0x1.0]5cCYlc8KT4YbU5w753RaBuepE+1r6xIU/VfSPN0Fj+0=[/tex]

    • 1

      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];

    • 2

       若循环码以 g(x)= x+1为生成多项式,则求该码的一致校验多项式h(x) ;

    • 3

      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=0.929x1.0]rGq0+wwusEFO0LgjMJZJMvpknGyDqi+aORVwkF+3ikY=[/tex]和典型监督矩阵 [tex=1.286x1.214]Xw+l023EljiREVAQxLXBUYgCueuo+JmPgja9qBvB5/4=[/tex] 

    • 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]