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。
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]fKtHfy5PkM/VRAijZ52i8A==[/tex]循环码的生成矩阵为[tex=7.429x3.5]krqLcez/NatiMpfHupaHv/jBV+daUeIEAvV3HGP7/6NJt7XUAYPw293TN4CfM3zjQyjckZx/nkC6ZffesezmeOiosuySiPKQuLl2ckZaZ0k=[/tex]试写出该[tex=2.071x1.357]fKtHfy5PkM/VRAijZ52i8A==[/tex]循环码的生成多项式[tex=1.857x1.357]fBOYuAIZ/H4m1Dx+my86tg==[/tex]和监督矩阵[tex=0.857x1.0]aPLFPHMGSKDwulHSwLWugg==[/tex];
- 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]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]
- [tex=2.071x1.357]fKtHfy5PkM/VRAijZ52i8A==[/tex]循环码的生成多项式为[tex=8.357x1.5]DB5kFYU1oPINp0gcSUrh0AZ5/H1xR1bPNzYhnJtsUsE=[/tex]当数据[tex=6.857x1.357]lGDR+sEpgMCuk1qCoVhb4zG6F/IO7r3mpOFr84AcPMauTSg4xCfeK/8qRFvwSbc0qXVF0EP9hKxQ7QPZ4b+RPw==[/tex] 时, 求系统循环码的码组[tex=1.071x1.143]4o7BOOkOHDYl51MA15caQQ==[/tex]