The nonexistence of distance-regular graphs with intersection arrays {27, 20, 10;1, 2, 18} and {36, 28, 4;1, 2, 24}

Locally, a distance-regular graph with ‘μ = 2’ carries the structure of a partial linear space. Using this, we show that there are no distanceregular graphs with intersection array {27, 20, 10; 1, 2, 18} or {36, 28, 4; 1, 2, 24} (on, respectively, 448 or 625 vertices).