Question: Coding Theory (Math) problem: PROBLEM 2. (i) Prove that there is a unique cyclic code C C Z5 of dimension 3. Describe the codewords in

Coding Theory (Math) problem:

PROBLEM 2. (i) Prove that there is a unique cyclic code C C Z5 of dimension 3. Describe the codewords in C. (ii) There are two cyclic codes of dimension 4 in Z9. For each such code find its generator matrix G and its parity check matrix H

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