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A technique for the verification of concurrent parametric timed systems is presented. In the systems under study, each action has a bounded delay where the bounds are either constants or parameters. Given a safety property, the analysis computes automatically a set of constraints on the parameters sufficient to guarantee the property. The main contribution is an innovative representation of the parametric timed state space based on bit-vectors. Experimental results from the domain of timed circuits show that this representation improves both CPU time and memory usage with respect to another parametric approach, convex polyhedra.