Hi Bob,
On a related note only, have you seen "
Continued Fractions and Lattice Sieving " by Franke and Kleinjung?
At a glance, it seems to discuss the techniques they use for finding a reduced basis for a given lattice.
Other papers from the same conference are found here:
http://www.ruhr-uni-bochum.de/itsc/tanja/SHARCS/
-Don