线性码的数学基础 Theorem 8.8 Suppose that G is an n x k standard generator matrir.Then C=y:Gx=y for x is an (n,k)-block code.More specifically,C is a group code. Theorem 8.10 Let H =(A Im)be an mxn canonical parity-check matrix and iet G be the nx (n-m)standard generator matrisr associated with H.Let C be the code generated by G.Then y is in C if and only if Hy =0.In particular,C is a linear code with canonical parity-check matrix H.线性码的数学基础