A new pseudo-random number generator with application in RSA

This paper presents a new pseudo-random number generator, named IPCS-PRNG (Inter-Perturbations of Chaotic Systems based Pseudo-Random Number Generator), which uses the sequences generated by two chaotic systems to inter-perturb their sequence values and control parameter. The cryptographic properties of inter-perturbing sequence, which is called IP sequence in the context, are analyzed theoretically. The sensitive dependence on initial conditions, distribution, auto-correlation and cross-correlation are tested. The stability of IP sequence and logistic map is compared. A text is encrypted by RSA with IPCS-PRNG, which strengthens the ability of resisting chosen ciphertext attack, common module attack, low exponent attack and timing attack of RSA.