As far as I know, the first exact size specifications were made by Augustin Norez Martinez under pressure from the FCI standard commission, so he said 60-65 cm (23.6" - 25.6"). In the course of time there were more and more exceedings of this limit which were even rewarded by the judges in the show ring, so that one day the call for a size limit came up by important breeders of the Dogo.
So in the end they adjusted the size a little bit upwards and said taller dogs than 27" must not be tolerated anymore.
So, 27" (68 cm) is the maximum size for a male Dogo according to the FCI standard and also defined by the Club del Dogo Argentino. Taller dogs have to be disqualified at shows.
Interesting side note: The Argentine club mentiones also an "ideal size" which is 25.2" to 25.6" (64 to 65 cm) for males and 24.4 to 25.2" (62 to 64 cm) for females.