已知一个[tex=2.071x1.357]GEir28FA4/d0c9UgaWIuCg==[/tex] 循环码的全部码组为[img=668x198]17a38b1f3d0f58e.png[/img]试写出该循环码的生成多项式[tex=1.857x1.357]fBOYuAIZ/H4m1Dx+my86tg==[/tex]和生成矩阵[tex=2.286x1.357]pCptTr/y7P2l6DnvbxLDfKs7GcYb2a/2ZcqB0Nw/VCU=[/tex], 并将[tex=2.286x1.357]pCptTr/y7P2l6DnvbxLDfKs7GcYb2a/2ZcqB0Nw/VCU=[/tex] 化成典型阵。
举一反三
- 已知[tex=15.571x1.571]G0+YYVhQApMMUPRMHB6IYPnL6uVuG22GQBTydDXiAPGJol5v+g73XMV4pLTfF64oiwMyiI6OZGQcceSFswzwfnF1EK0g1SgmZIEmfRB0M5s=[/tex](1) 写出 [tex=2.071x1.357]fKtHfy5PkM/VRAijZ52i8A==[/tex]循环码的生成多项式;(2) 写出[tex=2.071x1.357]GEir28FA4/d0c9UgaWIuCg==[/tex]循环码的生成多项式;(3) 写出 [tex=2.071x1.357]TGo2+zQ867hah0EnVl0ZJA==[/tex]偶校验码的生成多项式;(4) 写出 [tex=2.071x1.357]2OiZMwvBLgPSEtShP7MKHQ==[/tex] 重复码的生成多项式。
- 已知[tex=2.071x1.357]GEir28FA4/d0c9UgaWIuCg==[/tex]循环码的监督矩阵为[tex=13.5x3.5]WSmbh6mV4UDbP86wu8Pu+WjvViebuUzn8NyPG9rrXjbkVw02CdZP27Jn1F3rEGIUb6w+wmt4MbnlbEdO6MZFSC8kecp/BdO8zZmuh7i55Ycr4Hg+a7oXbuCFEkLx1lel1qz+9cpce6m8XVvcNqUXwFDiM0Xxlmxz5G/snT+L/3wUHvKxu2lT3RXD+6mLA+R3[/tex]试写出该[tex=2.071x1.357]GEir28FA4/d0c9UgaWIuCg==[/tex]循环码的生成多项式[tex=1.857x1.357]fBOYuAIZ/H4m1Dx+my86tg==[/tex]和典型生成矩阵[tex=0.786x1.0]LyvDGollVJ+xwurtsLcn0g==[/tex];
- 已知一个[tex=2.071x1.357]GEir28FA4/d0c9UgaWIuCg==[/tex]循环码的全部码组为[tex=18.0x4.5]JfuQnY9G7d3YES/K7AC/IwGq8kvcInn1mg6G/Yud04cYWeqr7b3kTwU4vX0GmS/bV53PPUMRDsy4NacJcA+PYaUXsFDPAex8uop/42ih1xQzQGCRQZTM6xizQMM0zWj2/1f2B6eGF6rOhs4BWpINCGmMoneU/PlzBqESLK7aHoFDAM7q88I/ODtm1ECA5Nbfd7k2jjFXKP9KSluWh+7gS6CTholI9viB5Bw9VPjpP7hzgjT4UxcKPSGICmUPvZm2wcBsuebysQuJGDWt/TpGig==[/tex]试写出该循环码的生成矩阵[tex=2.143x1.357]bqX9vsWUVSZj54RncqlVIw==[/tex], 并将[tex=2.143x1.357]bqX9vsWUVSZj54RncqlVIw==[/tex]化成典型阵
- 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]
- 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]