A computer readable medium embodying a program to be executed by a terminal device used for a biometric authentication, the program including: an image generation code generating an enrolled image and a verification image from biometric information of a user collected at a sensor coupled to the terminal device; a filter generation code generating a random filter for scrambling the enrolled image and an inverse filter of the random filter; a transformation code transforming the enrolled image to a registration template by applying the random filter to the enrolled image and transforming the verification image to a filtered verification image by applying the inverse filter to the verification image; communication code transmitting the registration template and the filtered verification image to a biometric server thereby the biometric server performs biometric authentication of the user based on the cross-correlation between the registration template and the filtered verification image.