Let C be a (n. k, d) binary linear code. Define the extended code to be...

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Let C be a (n. k, d) binary linear code. Define the extended code to be n+1 [a=0} C(C₁,..., Cn Cn+1) (C₁,..., Cn) E C and {(e₁, : Write generator and parity check matrices of the extended code in terms of generator and parity check matrices of the original code. Assume d odd. What is the minimal distance of the extended code? Let C be a (n. k, d) binary linear code. Define the extended code to be n+1 [a=0} C(C₁,..., Cn Cn+1) (C₁,..., Cn) E C and {(e₁, : Write generator and parity check matrices of the extended code in terms of generator and parity check matrices of the original code. Assume d odd. What is the minimal distance of the extended code?

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Lets denote the generator matrix of the original code C as GG with dimensions knkn The parity check ... View the full answer