1. The problem statement, all variables and given/known data The problem is attached and it's part A. There is no need to put problem 4 hence the problem is fully explained in the file attached 2. Relevant equations Zk is mod k basically. 3. The attempt at a solution I know that we have to prove that the transformation is onto,one to one and preserves adjacency. It's one to one because T(s1)=T(s2) s1+v=s2+v s1=s2 It's onto because y=s+v y-v=s T(s)=T(y-v)=y-v+v=y I am not quite sure how to show that it preserves adjacency because I can't apply the concept of hamming distance anymore.