International Association for Cryptologic Research

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Public-Key Encryption, Local Pseudorandom Generators, and the Low-Degree Method

Authors:
Alon Rosen , Bocconi University and Reichman University
Andrej Bogdanov , University of Ottawa
Pravesh Kothari , Carnegie Mellon University
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Presentation: Slides
Conference: TCC 2023
Abstract: The low-degree method postulates that no efficient algorithm outperforms low-degree polynomials in certain hypothesis-testing tasks. It has been used to understand computational indistinguishability in high-dimensional statistics. We explore the use of the low-degree method in the context of cryptography. To this end, we apply it in the design and analysis of a new public-key encryption scheme whose security is based on Goldreich's pseudorandom generator. The scheme is a combination of two proposals of Applebaum, Barak, and Wigderson, and inherits desirable features from both.
BibTeX
@inproceedings{tcc-2023-33604,
  title={Public-Key Encryption, Local Pseudorandom Generators, and the Low-Degree Method},
  publisher={Springer-Verlag},
  author={Alon Rosen and Andrej Bogdanov and Pravesh Kothari},
  year=2023
}