[en] The phase transition to reflection asymmetric intrinsic nuclear shapes at high angular momentum is analyzed in the framework of the cranked Hartree-Fock-Bogoliubov approximation, with the Gogny interaction, using approximate parity projection before variation. The N=88 isotones are studied and good agreement is found for the energy splitting of the even and odd parity states and B (E1)/B(E2) transition probabilities. Differences on dipole moments between odd and even parity states found at low spin disappear with increasing angular momentum. (author)