Abstract
A parallel lexicographic unranking algorithm of a permutation of r out n objects is developed in this paper. The time complexity of our algorithm is O(rlogr/N+logrloglogN) on the CREW PRAM model, where N is the number of processors. This result shows that the problem for lexicographic unranking of a permutation is in NC. In particular, when N=1, our algorithm is also the most efficient sequential algorithm.