  We present a new Randomized Multiple Independent Comb Shaping (RandoMICS)
algorithm based on phase-only tailored transmission for ultrashort laser pulse
replication. The benefit of this method is satellite-free generation of
programmable laser pulse sequences. The result is achieved by creating a
transmission function as a stochastic comb of disjoint segments of optical
frequency continuum with numerically optimized segment width distribution. The
algorithm is realized by generating a regular aperiodic comb and random
permutations of its elements. Experimental demonstration is performed with an
acousto-optic pulse shaper providing broadband multi-window transmission
function with arbitrarily variable widths of the segments. Suppression of
undesired satellite pulses by the factor of 8 is demonstrated as well as
generating pulse replicas with extended usable delay range compared to
phase-only pulse shaping with periodic transmission combs.
