Pseudorandom Functions: Three Decades Later

Andrej Bogdanov; Alon Rosen

Paper 2017/652

Pseudorandom Functions: Three Decades Later

Andrej Bogdanov and Alon Rosen

Abstract

In 1984, Goldreich, Goldwasser and Micali formalized the concept of pseudorandom functions and proposed a construction based on any length-doubling pseudorandom generator. Since then, pseudorandom functions have turned out to be an extremely influential abstraction, with applications ranging from message authentication to barriers in proving computational complexity lower bounds. In this tutorial we survey various incarnations of pseudorandom functions, giving self-contained proofs of key results from the literature. Our main focus is on feasibility results and constructions, as well as on limitations of (and induced by) pseudorandom functions. Along the way we point out some open questions that we believe to be within reach of current techniques.

Note: This survey appeared in the book Tutorials on the Foundations of Cryptography, published in honor of Oded Goldreich’s 60th birthday.

Metadata

Available format(s): PDF
Category: Foundations
Publication info: Published elsewhere. Minor revision. Tutorials on the Foundations of Cryptography (Dedicated to Oded Goldreich)
DOI: 10.1007/978-3-319-57048-8_3
Keywords: pseudorandom functions
Contact author(s): alon rosen @ idc ac il
History: 2017-07-05: received
Short URL: https://ia.cr/2017/652
License: CC BY

BibTeX

@misc{cryptoeprint:2017/652,
      author = {Andrej Bogdanov and Alon Rosen},
      title = {Pseudorandom Functions: Three Decades Later},
      howpublished = {Cryptology {ePrint} Archive, Paper 2017/652},
      year = {2017},
      doi = {10.1007/978-3-319-57048-8_3},
      url = {https://eprint.iacr.org/2017/652}
}