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) L(7/10, 0) L(4/5, 0)) 12. Our method is based on a coset decomposition of the Leech lattice Λ associated with using some codes. In fact, we construct a code vertex operator algebra Mk Mt with a ternary code and a 2 × 2 code and use it to obtain a decomposition of V .