  In this note, we give two different proofs that relation algebra $52_{65}$ is
representable over a finite set. The first is probabilistic, and uses Johnson
schemes. The second is an explicit group representation over $
(\mathbb{Z}/2\mathbb{Z})^{10}$. We also give a finite representation of
$59_{65}$ over $\mathbb{Z}/113\mathbb{Z}$ using a technique due to Comer.
