Pointers to CICYs:

• The complete construction of this class of spaces has been described in
  Complete Intersection Calabi-Yau Manifolds,
  P.Candelas, A.Dale, C.Lutken and R.Schimmrigk, Nucl.Phys. B298(1988)493

• The comple CICY list contains the degree matrices of the Calabi-Yau configurations as well as their Euler numbers.

• The computation of the Hodge numbers for CICYs is described in
  All Hodge numbers of all CICYs,
  P.Green, T.Hubsch and C.Lutken, Class.Quant.Grav 6(1989)105

• A code, written by Tristan Hubsch, which helps in the computation of Hodge number of the individual CICY spaces can be found here.