Oblivious transfer (OT) is an essential building block for secure multiparty computation when there is no honest majority. In this setting, current protocols for n 3 parties require each pair of parties to engage in a single OT for each gate in the circuit being evaluated. Since implementing OT typically requires expensive public-key operations (alternatively, expensive setup or physical infrastructure), minimizing the number of OTs is a highly desirable goal. In this work we initiate a study of this problem in both an information-theoretic and a computational setting and obtain the following results.