Efficient Cryptographic Schemes Provably as Secure as Subset Sum

  • Authors:
  • R. Impagliazzo;M. Naor

  • Affiliations:
  • -;-

  • Venue:
  • Efficient Cryptographic Schemes Provably as Secure as Subset Sum
  • Year:
  • 1993

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Abstract

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