Addition of Codewords in Linear Code/Examples/V(3,2)

Example of Addition of Codewords in $V \paren {3, 2}$
In the master code $V \paren {3, 2}$, the codewords $110$ and $011$ are added thus:
 * $110 + 011 = 101$

Proof
Taking the elements of $110$ and $011$ in pairs, successively, we have:

Hence the result.