In this paper, we first show that many independent pseudorandom permutations over {0, 1}n can be obtained from a single public random permutation and secret n bits. We next prove ...
We consider the problem of permutation reconstruction, which is a variant of graph reconstruction. Given a permutation p of length n, we delete k of its entries in each possible w...
An undirected graph is a treelike comparability graph if it admits a transitive orientation such that its transitive reduction is a tree. We show that treelike comparability graphs...
We show that any quantum algorithm to decide whether a function f : [n] → [n] is a permutation or far from a permutation must make Ω n1/3 /w queries to f, even if the algorith...
d Abstract) Thomas H. Cormen Leonard F. Wisniewski Department of Mathematics and Computer Science Dartmouth College We give asymptotically equal lower and upper bounds for the num...