A method includes receiving biometric data, the biometric data non-uniformly distributed and processing the biometric data to a level of randomness as a plaintext vector, the level of randomness associated with a security level. The method also includes encrypting the plaintext vector using a relational linearity encryption scheme to generate a linearity ciphertext representative of the plaintext vector, encrypting the plaintext vector using a relational proximity encryption scheme to generate a proximity ciphertext representative of the plaintext vector, and communicating the linearity ciphertext and the proximity ciphertext to an authentication server. The method further includes receiving from the authentication server an authentication signal for the security level indicative of a linearity relationship between the linearity ciphertext and a registration linearity ciphertext discovered using a relational linearity key and of a proximity relationship between the proximity ciphertext and a registration proximity ciphertext detected using a relational proximity key.