How to build 4 codewords with a code distance of 5? I wonder how can I construct 4 (distinct) codewords given the fact that code distance is 5. As far as I know that the code distance is the number of distinct bits between any 2 codewords. How to achieve this code distance for the 6 possible pairs from the 4 codewords available(of any bit length). I named, for example, codewords u, v, w, &amp; x so d(u,v) = d(u,w) = d(u,x) = d(v,w) = d(v,x) = d(w,x) = 5. The code words must be in binary format i.e 00100 10011. I considered a code length of 10 to achieve this but still struggling to find a solution.
0000000000
1111100000
0000011111
1111111111