  q-Supernomial coefficients are generalizations of the q-binomial
coefficients. They can be defined as the coefficients of the Hall-Littlewood
symmetric function in a product of the complete symmetric functions or the
elementary symmetric functions. Hatayama et al. give explicit expressions for
these q-supernomial coefficients. A combinatorial expression as the generating
function of ribbon tableaux with (co)spin statistic follows from the work of
Lascoux, Leclerc and Thibon. In this paper we interpret the formulas by
Hatayama et al. in terms of rigged configurations and provide an explicit
statistic preserving bijection between rigged configurations and ribbon
tableaux thereby establishing a new direct link between these combinatorial
objects.
