  We apply the crystal basis theory for Fock spaces over quantum affine
algebras to the modular representations of the cyclotomic Hecke algebras of
type $G(p,p,n)$. This yields a classification of simple modules over these
cyclotomic Hecke algebras in the non-separated case, generalizing our previous
work [J. Hu, J. Algebra 267 (2003) 7-20]. The separated case was completed in
[J. Hu, J. Algebra 274 (2004) 446--490]. Furthermore, we use Naito--Sagaki's
work [S. Naito & D. Sagaki, J. Algebra 251 (2002) 461--474] on
Lakshmibai--Seshadri paths fixed by diagram automorphisms to derive explicit
formulas for the number of simple modules over these Hecke algebras. These
formulas generalize earlier results of [M. Geck, Represent. Theory 4 (2000)
370-397] on the Hecke algebras of type $D_n$ (i.e., of type $G(2,2,n)$).
