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基本原理:The syndrome of a received word depends solely on the error and not on the transmitted code word. 顺便问一句:error怎么表示? Theorem 8.15 Let HEMmxn(Z)and suppose that the linear code corre- sponding to H is single error-correcting.Letr be a received n-tuple that was transmitted with at most one error.If the syndrome ofr is 0,then no error has occurred;otherwrise,if the syndrome ofr is equal to some column of H, say the ith column,then the error has occurred in the ith bit. Example 17.Consider the matrix 1 0110 0 H 0 1101 11 00 and suppose that the 6-tuples x= (111110),y=(111111),andz= (010111)t have been received.Then Hx 目w-Θ基本原理:The syndrome of a received word depends solely on the error and not on the transmitted code word. 顺便问一句:error怎么表示?
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