A new oblivious transfer protocol was proposed within the framework of universally composable security(UC-DT).The protocol based on the verifiably smooth projective hashing(VSPH) is against adaptive adversaries in a common reference string(CRS) model.The UC-OT protocol improves computational efficiency with non-committing encryptions(NCE)which is based on decisional compounding residuosity
achieves UC-OT
and it saves O(n)-1 rounds in communication efficiency than bit-OT protocols.Compared with Canetti’s scheme in non-erase model
the message reduced once.Compared with Fischlin’s scheme
the message transfers were reduced twice
and the scheme does not rely on the auxiliary party