New Pseudo-Random Number Generator System Based on Jacobian Elliptic maps and Standard Map


Abstract- Chaotic systems have numerous properties, for example: mixing property,sensitivity to initial conditions parameters, structural complexity and deterministicdynamics. These properties were investment in the last decade for cryptographicapplications and developments of pseudorandom number/bit generator. The paper proposenew pseudorandom number (bits) generator (PRNG) based on the Jacobian elliptic chaoticmaps and standard map. The principle of the method consists in generating binary sequencefrom elliptic chaotic maps of cn and sn types. These sequence positions is permuted usingstandard map. The performance of the generator is studied through conventional statisticalmethods and also using the NIST test suite. The results show that the produced sequencespossess high randomness statistical properties and good security level which make itsuitable for cryptographic applications.