RC-Code if I have a generator matrix for a specific code how do I get the distance to the dual code?


$ \mathcal{R} \mathcal{S}_{6, 3}$ and $ a_{i} \in \mathbb{F}_{11}$

G=\begin{pmatrix}1&1&1 &1&1&1\ 0&1&2 &3&4&5\ 0&1^2&2^2 &3^2&4^2&5^2 \end{pmatrix}

G=\begin{pmatrix} 1&1&1 &1&1&1\0&1&2 &3&4&5\ 0&1&4 &9&5&3 \end{pmatrix}

I now have to determine the distance to the dual code.

Any clue how to accomplish this?

Thanks for any help.