Sciweavers

CRYPTO
2007
Springer

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

13 years 10 months ago
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 standards 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 problem. The x-logarithm problem is shown to be hard if the decisional Diffie-Hellman problem is hard, although the reduction is not tight. The truncated point problem is shown to be solvable when the minimum amount of bits allowed in NIST standards are truncated, thereby making it insecure for applications such as stream ciphers. Nevertheless, it is argued that for nonce and key generation this distinguishability is harmless. Key Words: Random Number Generation, Elliptic Curve Cryptography.
Daniel R. L. Brown, Kristian Gjøsteen
Added 07 Jun 2010
Updated 07 Jun 2010
Type Conference
Year 2007
Where CRYPTO
Authors Daniel R. L. Brown, Kristian Gjøsteen
Comments (0)