Multiple of Codeword in Linear Code/Examples/V(3,3)

Example of Multiple of Codeword in $V \paren {3, 3}$
In the master code $V \paren {3, 3}$, the codeword $102$ is multiplied by $\eqclass 2 3$ thus:
 * $2 \paren {102} = 201$

Proof
Taking the elements of $201$ in turn, we have:

Hence the result.