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Obfuscating Pseudorandom Functions is Post-quantum Complete

  • 2026
  • OriginalPaper
  • Chapter
Published in:
Authors
Pedro Branco
Abhishek Jain
Akshayaram Srinivasan
Published in
Theory of Cryptography
Publisher
Springer Nature Switzerland

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Abstract

The chapter delves into the cryptographic challenge of obfuscating pseudorandom functions in a post-quantum context. It explores the reduction of general-purpose indistinguishability obfuscation to obfuscating pseudorandom functions under the Learning with Errors (LWE) assumption. The text presents a construction of exponentially-efficient indistinguishability obfuscation under LWE in the Pseudorandom Oracle Model, demonstrating the pseudorandomness of the truth table of the obfuscated function in the presence of auxiliary information. Additionally, it discusses the construction of indistinguishability obfuscation in the standard model using the sub-exponential hardness of average-case indistinguishability obfuscation and LWE. The chapter also highlights the open questions and challenges in the field, such as obtaining an instantiation of average-case indistinguishability obfuscation from well-studied lattice-based assumptions and strengthening the construction in the Pseudorandom Oracle Model.
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previous chapter A Meta-complexity Theoretic Approach to Indistinguishability Obfuscation and Witness Pseudo-Canonicalization
next chapter Pseudorandom FE, iO and Applications
Title
Obfuscating Pseudorandom Functions is Post-quantum Complete
Authors
Pedro Branco
Abhishek Jain
Akshayaram Srinivasan
Copyright Year
2026
Book
Theory of Cryptography

Print ISBN: 978-3-032-12292-6

Electronic ISBN: 978-3-032-12293-3

Copyright Year: 2026

DOI
https://doi.org/10.1007/978-3-032-12293-3_7
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