On orbifold constructions associated with the Leech lattice vertex operator algebra
  In this article, we study orbifold constructions associated with the Leech
lattice vertex operator algebra. As an application, we prove that the structure
of a strongly regular holomorphic vertex operator algebra of central charge
$24$ is uniquely determined by its weight one Lie algebra if the Lie algebra
has the type $A_{3,4}^3A_{1,2}$, $A_{4,5}^2$, $D_{4,12}A_{2,6}$, $A_{6,7}$,
$A_{7,4}A_{1,1}^3$, $D_{5,8}A_{1,2}$ or $D_{6,5}A_{1,1}^2$ by using the reverse
orbifold construction. Our result also provides alternative constructions of
these vertex operator algebras (except for the case $A_{6,7}$) from the Leech
lattice vertex operator algebra.
