  Besides all the attention given to lattice constructions, it is common to
find some very interesting nonlattice constellations, as Construction C, for
example, which also has relevant applications in communication problems
(multi-level coding, multi-stage decoding, good quantization efficieny). In
this work we present a constellation which is a subset of Construction C, based
on inter-level coding, which we call Construction C*. This construction may
have better immunity to noise and it also provides a simple way of describing
the Leech lattice $\Lambda_{24}.$ A condition under which Construction C* is a
lattice constellation is given.
