A random number generator based on elliptic curve operations

A Random Number Generator Based on Isogenies Operations

He Debiao*, Chen Jianhua, Hu Jin School of Mathematics and Statistics,Wuhan University, Wuhan 430072, Hubei, China 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...

Improving Security For Elliptic Curve Implementations on Smart Cards: A Random Number Generator Test Unit

A Security Analysis of the NIST SP 800-90 Elliptic Curve Random Number Generator

An elliptic curve random number generator (ECRNG) has been approved in a NIST standard and proposed for ANSI and SECG draft standards. This paper proves that, if three conjectures are true, then the ECRNG is secure. The three conjectures are hardness of the elliptic curve decisional Diffie-Hellman problem and the hardness of two newer problems, the x-logarithm problem and the truncated point pr...

Craft: a constraint-based random-number generator

In this paper I describe Craft, a floating-point constraint solver that generates sets of random numbers satisfying designerspecified algebraic constraints. Craft is available both as a C# API and as a Unity3D component that allows designers to directly specify constraints in the Unity editor. Despite the exponential complexity of the algorithm, the algorithm performs well on design-inspired pr...

Novel pseudo-random number generator based on quantum random walks

In this paper, we investigate the potential application of quantum computation for constructing pseudo-random number generators (PRNGs) and further construct a novel PRNG based on quantum random walks (QRWs), a famous quantum computation model. The PRNG merely relies on the equations used in the QRWs, and thus the generation algorithm is simple and the computation speed is fast. The proposed PR...