  More than 10 years ago, Dipper, James and Murphy developped the theory of
Specht modules for Hecke algebras of type $B\_n$. More recently, using
Lusztig's a-function, Geck and Rouquier showed how to obtain parametrisations
of the irreducible representations of Hecke algebras (of any finite type) in
terms of so-called canonical basic sets. For certain values of the parameters
in type $B\_n$, combinatorial descriptions of these basic sets were found by
Jacon, based on work of Ariki and Foda-Leclerc-Okado-Thibon-Welsh. Here, we
consider the canonical basic sets for all the remaining choices of the
parameters.
