Moonshine vertex operator algebra as image-modules

In this article, we study the structure of the famous Moonshine vertex operator algebra Vmusic natural as a module for a certain vertex operator subalgebra isomorphic to image. As our main result, we obtain a complete decomposition of Vmusic natural associated with this algebra. Our method is based on an embedding of the lattice image into the Leech lattice. Actually, we construct certain vertex operator algebras using some image and image codes. A decomposition of the Moonshine vertex operator algebra is obtained by a careful study of their representations.