Question: Math Coding Theory question (all info are given below): PROBLEM 1. Consider cyclic codes in Z. (i) For each dimension k = 0, 1, ...,4,

Math Coding Theory question (all info are given below):

PROBLEM 1. Consider cyclic codes in Z. (i) For each dimension k = 0, 1, ...,4, find all cyclic codes of that dimension in terms of their generators g(r). (ii) Consider codes of dimension 3. Each such code is a hyperplane in Z, defined by a linear equation. Find this linear equation for each cyclic code of dimension 3

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