Hybrid Cryptographically Secure Pseudo-Random Bit Generator

Many cryptographic applications need random and pseudo random numbers, for e.g., cryptographic key generations, digital signatures and authentication protocols. In this paper we suggest a modification to Dual Elliptic Curve Deterministic Random Bit Generator (Dual_EC_DRBG) and propose a composite Cryptographically Secure Pseudo-Random Number Generator (CSPRNG) using modified Dual EC DRBG. We implemented the composite CSPRNG (BEL CSPRNG) and carried out empirical tests like runs test, longest run test, cumulative test, frequency test and block frequency test on the output sequence produced by BEL CSPRNG using NIST test suite. We compared output against the standard Pseudo-Random Number Generators (PRNGs) like Linear Congruential Generator (LCG), Blum Blum Shub (BBS) and modified Dual EC DRBG. We were successful in overcoming the drawbacks of Dual EC DRBG and achieve an increase in cycle length of the output sequence generated.