This paper presents a flavor of OT named Independent Oblivious Transfer in the Public-Key Public-Randomness Model (PKPR IOT, in short), with respect to the open problem given by De Santis. First it gives a non-interactive implementation of IOT, which can independently and obliviously transfer polynomial messages. The implementation is based on Quadratic Residuosity Assumption. Since it is limited to pre-fixed times, then another non-interactive implementation of IOT is presented, which can independently transfer messages for any times. The second implementation requires the sender to be honest and the receiver couldn't make his choice independently. So, the third interactive implementation is given. It is based on the BBCS oblivious transfer scheme of Rivest, and is rather more efficient than the above two non-interactive counterparts. All the three implementations presented are secure against receivers with unlimited computational power.