On the period length of congruential pseudorandom number sequences generated by inversions

摘要

Congruential pseudorandom number sequences generated by inversions have been studied recently. These sequences do not show the undesirable lattice structure of the linear congruential method. The necessary and sufficient condition for the generated sequence to have the maximal period length was given by Eichenauer (1988) for the case of 2e modulus. Generalization of this result to the case of an arbitrary prime power modulus is obtained.