New method of elliptic curve transformations which appear to require probabilistic exponential time of invert have been constructed. New DRGB mechanism on elliptic curve transformations opens additional ways of developing of modern methods to generate cryptographically strong sequences of pseudorandom bits. The method of generate random bit sequences based on isomorphic transformations of elliptic curve points. The existing method permits to increase a number of internal states is given. A complexity of invert generator to enlarges from increase of internal states. One more result of this paper is obtaining lower bound period pseudorandom bit sequences. Keywords: cryptography, elliptic curves, random bit generators.
