We study in this paper the use of randomized routing in multistage net
works. While log N additional randomizing stages are needed to break '
'spatial locality,'' within each permutation, only log log N additiona
l randomizing-stages are needed to break ''temporal locality'' among s
uccessive permutations. Thus, log N bits of initial randomization per
input, followed by log log N bits of randomization per packet are suff
icient to ensure that t permutations are delivered in time t + log N.
We present simulation results that validate this analysis.