We present a generalization of the seminal EKE protocol to achieve a minimal (in communication flows and exponentiations) sPAKE in the UC model using a primitive we call programmable-once public function (POPF). Intuitively, a POPF is a function whose output can be programmed by one party on exactly one point. All other outputs of the function are outside of any party's control. We also use this primitive to achieve a UC-secure 1-out-of-$N$ oblivious tranfer protocol.