Question: Let C be a cyclic code of length n with canonical generator g(x). Suppose (1 + x) divides g(x). Prove that all codewords in C

Let C be a cyclic code of length n with canonical

Let C be a cyclic code of length n with canonical generator g(x). Suppose (1 + x) divides g(x). Prove that all codewords in C have even weight. (b) Suppose C is a cyclic code which has at least one codeword of odd weight. Prove that 111 111 is a codeword of C

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