Minimean optimal key arrangements in hash tables

For an open-addressing hash functionh and a setA ofn keys, letCh(A) be the expected retrieval cost when the keys are arranged to minimize the expected retrieval cost in a full table. It is shown that, asymptotically for largen, whenh satisfies a certain doubly dispersive property, as is the case for double hashing,Ch(A)=0(1) with probability 1 − 0(1) for a randomA.