Decomposition of the Moonshine vertex operator algebra as Virasoro modules

In this article, we obtain a decomposition of the Moonshine vertex operator algebra V associated with the algebra (L(1/2,0) x L(7/10,0) x L(4/5,0))(x12) Our method is based on a coset decomposition of the Leech lattice ii associated with (root 2A(2))(12) using some codes. In fact, we construct a code vertex operator algebra M-C(k) x M-D(t) with a ternary code D and a Z(2) x Z(2) code C and use it to obtain a decomposition of V (C) 2000 Academic Press.