BIB-VERSION:: CS-TR-v2.0 ID:: STAN//CS-TR-79-753 ENTRY:: June 19, 1995 ORGANIZATION:: Stanford University, Department of Computer Science TITLE:: Should tables by sorted? TYPE:: Technical Report AUTHOR:: Yao, Andrew Chi-Chih DATE:: July 1979 PAGES:: 38 ABSTRACT:: We examine optimality questions in the following information retrieval problem: Given a set S of n keys, store them so that queries of the form "Is x $\in$ S?" can be answered quickly. It is shown that, in a rather general model including al1 the commonly-used schemes, $\lceil$ lg(n+l) $\rceil$ probes to the table are needed in the worst case, provided the key space is sufficiently large. The effects of smaller key space and arbitrary encoding are also explored. NOTES:: [Adminitrivia V1/Prg/19950619] END:: STAN//CS-TR-79-753