An encryption processing apparatus and method in which the difficulty of encryption analysis based on power analysis can be increased considerably are provided. The transmission family members include three planetary gear sets having seven torque-transmitting mechanisms. Woven structures include patterns of radiopaque filaments measurable under x-ray. Further, the expiration time of certificates assigned to vehicles corresponding to a given geographic region can be tailored to be inversely proportional to the distance from a registered home region of the vehicle.