An Improved Pseudo-Random Generator Based on the Discrete Logarithm Problem

  • Authors:
  • Rosario Gennaro

  • Affiliations:
  • IBM T.J.Watson Research Center, P.O. Box 704, Yorktown Heights, NY 10598, USA

  • Venue:
  • Journal of Cryptology
  • Year:
  • 2005

Quantified Score

Hi-index 0.00

Visualization

Abstract

Under the assumption that solving the discrete logarithm problem modulo an n-bit safe prime p is hard even when the exponent is a small c-bit number, we construct a new pseudo-random bit generator. This new generator outputs n – c – 1 bits per exponentiation with a c-bit exponent and is among the fastest generators based on hard number-theoretic problems.