Question: A linear (15,5) cyclic code has a generator polynomial g(x)= 1 + X + X + X4 + X5 + X8+ X10 a. What

A linear (15,5) cyclic code has a generator polynomial g(x)= 1 + X + X + X4 + X5 + X8+ X10 a. What is the codeword length n? b. Determine the systematic generator matrix G. c. Draw the circuit diagrams for the encoder and decoder, in terms of shift registers. d. Determine the codeword for the message polynomial m(X)= 1 + x + x A linear (15,5) cyclic code has a generator polynomial g(x) = 1 +X+X + X4+ X5 + X8+ X10 a. What is the codeword length n? b. Determine the systematic generator matrix G. c. Draw the circuit diagrams for the encoder and decoder, in terms of shift registers. d. Determine the codeword for the message polynomial m(X)= 1 + x + x

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