Cryptography device having secure provision of random number sequences

Abstract

Secure computation of a random number sequence in a cryptographic device. The computation is secured by receiving a homomorphic ciphertext seed vector, selecting an initial internal state from the seed vector, the initial internal state composed of a subset of elements of the seed vector, updating an internal state from a previous internal state using multivariate functions accepting elements of the previous internal state as inputs to produce a homomorphic ciphertext from homomorphic ciphertext input values, generating an intermediate result vector of homomorphic ciphertexts from the homomorphic ciphertext internal state multivariate functions accepting the elements of the internal state as inputs to produce a homomorphic ciphertext from homomorphic ciphertext input values, and decrypting the intermediate result vector elements into plaintext vector elements, thereby producing a plaintext deterministic random sequence vector corresponding to plaintext seed elements used to produce the seed vector. Other systems and methods are disclosed.