Question: A binary linear cyclic block code C c y c ( n , k ) has code length n = 1 4 and generator polynomial

A binary linear cyclic block code Ccyc(n,k) has code length n=14 and generator polynomial g(x)=1+x3+x4+x5.
(a) If all the information symbols are '1's, what is the corresponding code vector?
(b) Find the syndrome corresponding to an error in the last information symbol. Is this code capable of correcting this error?
A binary linear cyclic block code Ccyc(n,k) has code length n=14

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