So I have two Latin Squares, $A$ and $B$ that form a pair of MOLS of order $m$. I then have an Olderogge code formed from $A$ and $B$, where each binary vector of length $m^2$ is encoded as a codeword of length $m^2 + 4m + 1$.
For the code $C$, I want to prove that it's linear, determine its dimension, and most importantly, determine the minimum distance.
How would I do this?
Thanks.