It is shown that generalized Moore geometries of type GMm(s, t, s+1) cannot exist if m=5. Combined with the results of a number of earlier papers this leads to the ensuing conclusion that such structures do not exist for m≥4. © 1989.
Damerell, R. M., Roos, C., & van Zanten, A. J. (1989). On the existence of certain generalized Moore geometries, V. Discrete Mathematics, 76(3), 183–189. https://doi.org/10.1016/0012-365X(89)90318-X