Some Shilla Graphs with b = 5 do not Exist

A Shilla graph is a distance-regular of diameter 3 that has second eigenvalue equal to = a3 . Koolen and Park found admissible arrays intersections the Shill graphs with b (there were 12 them). Belousov I.N. feasible intersection 4 50 them) 5 82 It proved in paper Schill {305,248,62;1,2,244}, {315,256,64;1,2,252}, {345,280,64;1,4,276},{615,496,124;1,4,492}, {815,656,164;1,2,652}, {855,688,172;1,4,684}, {855,688,170;1,5,684}, {910,732,180;1,10, 728}, {1000,804,201;1,3,800}, {1045,840,210;1,6,836}, {1055,848,212;1,4,844}, {1080,868,215;1,5,864}, {1155,928,232;1,2,924}, {1185,952,245;1,5,948}, {1235,992,248;1,8,988},{1535,1232,308;1,8,1228}, {1560,1252,310;1,10,1248}, {1615,1296,324;1,12,1292}, {1665,1336,334;1,2,1332} do not exist.