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Conjectured Security of the ANSI-NIST Elliptic Curve RNG
Authors: Daniel R. L. BrownAbstract:
An elliptic curve random number generator (ECRNG) has been proposed in ANSI and NIST 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.
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