Let $C$ be the two-error correcting code: $\{(00000000),(11100011),(00011111),(11111100)\}$ in $(Z_2)^8$.
Then it says to find two vectors that are correctable to a codeword in $C$ (of bit length $1$ and $2$).
I think that since $t=2$, my two vectors could be: $(00000001)$, and $(00000011)$
Then it asks for two vectors that are at least three bit errors from a codeword in $C$, but are uniquely correctable to a codeword in $C$.
Should I use the nearest neighbor policy here?