Efficient cryptographic schemes provably as secure as subset sum

  • Authors:
  • R. Impagliazzo;M. Naor

  • Affiliations:
  • California Univ., Berkeley, CA, USA;California Univ., Berkeley, CA, USA

  • Venue:
  • SFCS '89 Proceedings of the 30th Annual Symposium on Foundations of Computer Science
  • Year:
  • 1989

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Abstract

Very efficient constructions, based on the intractability of the subset sum problem for certain dimensions, are shown for a pseudorandom generator and for a universal one-way hash function. (Pseudorandom generators can be used for private key encryption, and universal one-way hash functions for signature schemes). The increase in efficiency in the construction is due to the fact that many bits can be generated/hashed with one application of the assumed one-way function. All the constructions can be implemented in NC using an optimal number of processors.