International Association
for Cryptologic Research

There are lots of Random Key Generators, In this paper, we gave a new construction of Randomized Bit Generator by using Algebraic number theory, which is quite easy to compute and also we keep the security of this generator in our mind. we discussed its applications as a secret key generator being a randomized bit generator in encryption schemes and hash functions. We tried to make it Quantumly secure by randomizing it and extending its parameters to see it as a Quantum Random key generator.