  Based on Cynk-Hulek method we construct complex Calabi-Yau varieties of
arbitrary dimensions using elliptic curves with automorphism of order 6. Also
we give formulas for Hodge numbers of varieties obtained from that
construction. We shall generalize result of Katsura and Sch\"utt to obtain
arbitrarily dimensional Calabi-Yau manifolds which are Zariski in any
characteristic $p\not\equiv 1\pmod{12}.$
