On strongly regular graphs with parameters $(75,32,10,16)$ and $(95,40,12,20)$

It is proved that strongly regular graphs with parameters $(75,32,10,16)$ and $(95,40,12,20)$ which have regular $\mu$-subgraphs do not exist. In particular, strongly regular locally $\mathrm{GQ}(3,3)$-graphs with $\mu=20$ do not exist.