An encrypted private session key for a private-key encryption method is quickly exchanged between a first device and a second device by computing encryption acceleration data using a public key for a public-key encryption method. The encryption acceleration data and the public key are sent to and used on the second device to encrypt a private session key exchanged between the first device and second device. The private-key encryption method is quickly initialized on the second device using encryption initialization data for the private-key encryption method computed on the first device using the exchanged private session key sent to the second device. The encryption acceleration data and encryption initialization data reduce a number of calculations needed on the second device to initialize and use the private-key encryption method, thereby reducing the overall time needed to create a cryptographically secure communications channel between the first device and the second device.