
3. Consider a (15,3) cyclic block code with generator polynomial glx) given by 6. 912 t) x*+x+x1 a. Show that g(x) can be a generator polynomial for an (15,3) cyclic code. b. For the message sequence m = 1 1 0, what is the corresponding codeword? c. Can the received sequence r 10110110 1101101be a codeword? d. Determine G | Pl3 I, the generator matrix in systematic form for this (15,3) code.
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