\input zb-basic \input zb-ioport \iteman{io-port 01114432} \itemau{Brunner, D.; Uhl, A.} \itemti{Parallel computation of optimal parameters for pseudo random number generation.} \itemso{B\"osz\"orm\'enyi, L\'aszl\'o (ed.), Parallel computation. 3rd international ACPC conference with special emphasis on parallel databases and parallel I/O, Klagenfurt, Austria, September 23--25, 1996. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1127, 78-89 (1996).} \itemab Summary: Two systematic search methods are employed to find multipliers for linear congruential pseudo-random number generation which are optial with respect to the discrepancy of pairs of successive pseudorandom numbers. These two methods are compared in terms of their suitability for parallel computation. Experimental results of an MIMD workstationcluster-implementation and an evaluation of the calculated parameters using the spectral-test are included. \itemrv{~} \itemcc{} \itemut{optimal parameters; search methods; multipliers; linear congruential pseudo-random number generation; parallel computation; spectral-test} \itemli{} \end