International Association for Cryptologic Research

International Association
for Cryptologic Research


Paper: Public Key Cryptography from Different Assumptions

Boaz Barak
Avi Wigderson
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Abstract: We construct a new public key encryption based on two assumptions: 1) One can obtain a pseudorandom generator with small locality by connecting the outputs to the inputs using any sufficiently good unbalanced expander. 2) It is hard to distinguish between a random graph that is such an expander and a random graph where a (planted) random logarithmic-sized subset S of the outputs is connected to fewer than |S| inputs. The validity and strength of the assumptions raise interesting new algorithmic and pseudorandomness questions, and we explore their relation to the current state-of-art.
  title={Public Key Cryptography from Different Assumptions},
  booktitle={IACR Eprint archive},
  keywords={public-key cryptography /},
  note={ 14093 received 2 Aug 2008},
  author={Boaz Barak and Avi Wigderson},