  A simple ``brute-force'' parallelisation procedure for the computational
implementation of high-order coupled cluster method (CCM) calculations is
presented here. This approach is investigated and illustrated by an application
of high-order CCM to the Heisenberg antiferromagnet on the Kagom\'e lattice
with nearest- and next-nearest-neighbour bonds. Ferromagnetic
next-nearest-neighbour bonds are used to stabilise a model state which contains
three sublattices in which the spins make angles of 120$^{\circ}$ to each
other. Ground-state results for up to approximately 10000 fundamental clusters
are presented, and our best estimate for the ground-state energy per spin of
the spin-half Kagom\'e lattice antiferromagnet with only nearest-neighbour
bonds is $E_g/N = -0.43104$. We believe that further increases (of at least
another order of magnitude) in the number of fundamental clusters might be
possible in future by using parallel processing techniques. The extension of
high-order CCM calculations in order to consider non-N\'eel (e.g., dimer solid)
model states, simulation of excitation spectra, lattice boson and fermion
models, and finite-sized systems is very briefly considered.
