A transaction device for establishing a shared secret with a point of interaction (POI) over a communications network to enable encrypted communications between the transaction device and the point of interaction, the device comprising: an input arranged to receive communications from the point of interaction; a processor arranged to generate a first communication according to a Diffie-Hellman protocol; an output arranged to send the first communication to the point of interaction; wherein the processor is arranged to apply a randomly generated blinding factor, r, when generating the first communication and wherein, in response to receiving a second communication from the point of interaction at the input, the second communication having been generated according to the Diffie-Hellman protocol, the processor is arranged to apply the randomly generated blinding factor and generate a shared secret according to the Diffie-Hellman protocol in dependence on data contained within the second communication.