Decompositions of the moonshine module with respect to subVOAs associated to codes over Z2k

In this paper. we give decompositions of the moonshine module V-2 with respect to subVOAs associated to extremal Type II codes over Z(2k) for an integer k greater than or equal to 2. Those subVOAs are isomorphic to the tensor product of 24 copies of the charge conjugation orbifold VOA. Using such decompositions, we obtain some elements of type 4A (k odd) and 2B (A even) of the Monster simple group Aut(Vdegrees). (C) 2002 Elsevier Science (USA).