This paper introduces a class of wavelet packets based upon a set
of biorthogonal basis functions. Using a Kronecker product
formulation, we develop a self-similar factorization that obeys a
set of perfect reconstruction conditions. This construction is
then identified as a wavelet packet decomposition and is applied
to the finite field case. Finally, it is demonstrated that the
proposed wavelet packets can be applied as a well-known class of
error control codes.