Building Hard Problems by Combining Easy Ones

Riddhi Ghosal; Amit Sahai

Paper 2023/1088

Building Hard Problems by Combining Easy Ones

Riddhi Ghosal, University of California, Los Angeles

Amit Sahai, University of California, Los Angeles

Abstract

In this work, we initiate a new conceptual line of attack on the fundamental question of how to generate hard problems. Motivated by the need for one-way functions in cryptography, we propose an information-theoretic framework to study the question of generating new provably hard one-way functions by composing functions that are easy to invert and evaluate, where each such easy function is modeled as a random oracles paired with another oracle that implements an inverse function.

Metadata

Available format(s): PDF
Category: Foundations
Publication info: Published elsewhere. Major revision. 2023 International Symposium of Information Theory
Keywords: Random Oracles Information Theory Indifferentiability One-Way Functions
Contact author(s): riddhi @ cs ucla edu
sahai @ cs ucla edu
History: 2023-11-01: revised; 2023-07-13: received; See all versions
Short URL: https://ia.cr/2023/1088
License: CC BY

BibTeX

@misc{cryptoeprint:2023/1088,
      author = {Riddhi Ghosal and Amit Sahai},
      title = {Building Hard Problems by Combining Easy Ones},
      howpublished = {Cryptology {ePrint} Archive, Paper 2023/1088},
      year = {2023},
      url = {https://eprint.iacr.org/2023/1088}
}