Systems and methods for increasing security in a computer system are provided. The system includes one or more logic circuits. The one or more logic circuits receive a plurality of independent first entropy values from a hardware source, apply at least some of the plurality of independent first entropy values to a function to generate a second entropy value, and seed a pseudorandom number generator with the second entropy value. The one or more logic circuits also generate a random number using the pseudorandom number generator seeded with the second entropy value and may produce a block of ciphertext or message authentication code using the random number, or otherwise use the generated numbers as secure random numbers in applications such as cryptographic protocols.