New pseudo-random number generator system based on jacobian elliptic maps and standard map

الملخص EN

Chaotic systems have numerous properties, for example: mixing property, sensitivity to initial conditions parameters, structural complexity and deterministic dynamics.

These properties were investment in the last decade for cryptographic applications and developments of pseudorandom number/bit generator.

The paper propose new pseudorandom number (bits) generator (PRNG) based on the Jacobian elliptic chaotic maps and standard map.

The principle of the method consists in generating binary sequence from elliptic chaotic maps of cn and sn types.

These sequence positions is permuted using standard map.

The performance of the generator is studied through conventional statistical methods and also using the NIST test suite.

The results show that the produced sequences possess high randomness statistical properties and good security level which make it suitable for cryptographic applications.