Paper 2010/094

A Random Number Generator Based on Isogenies Operations

He Debiao, Chen Jianhua, Hu Jin

Abstract

A random number generator based on the operation of isogenies between elliptic curves over finite fields Fp is proposed. By using the proposed generator together with the isogeny cryptography algorithm, which is against the attack of quantum computer, we can save hardware and software components. Theoretical analyses show that periods of the proposed random number generator are sufficiently long. Moreover, the generated sequences have passed the U.S. NIST statistical test.