Which of the following codes are

(a) cyclic,

(b) linearly equivalent to a cyclic code?

(i) {OOOO, 1100, 0110, 0011, 1001} over Z2

(ii) {OOOO, 1122, 2211} over Z3

(iii) the q-a:ry repetition code over Zp, length n

(iv) the set of all binary words of length n with even weight

(v) the ternary code of length n whose codeword weights are all == 0 mod 3

(vi) as for (v) but with all codewords COCIC2'" Cn-l satisfying L Ci == 0 mod 3.