  Let F be a non-archimedean local field and let G be a connected reductive
group defined over F. We assume that G splits over a tame extension of F and
that the residual characteristic p does not divide the order of the Weyl group.
To each discrete Langlands parameter of the Weil group of F into the complex
L-group of G we associate explicitly a finite set of irreducible supercuspidal
representations of G(F), and relate its internal structure to the centralizer
of the parameter. We give evidence that this assignment is an explicit
realization of the local Langlands correspondence.
