6.5630 | Fall 2023 | Graduate

Advanced Topics in Cryptography

Lecture 7: Soundness of the Fiat-Shamir Paradigm in the standard model

Topics

  • Definition of CI hash functions.
  • Existence in the ROM and simple counter example in the plain model.
  • Positive results for CI in the plain model from LWE (implies first NIZK from LWE)

Readings

R. Canetti, A. Lombardi, and D. Wichs, “Fiat-Shamir: From Practice to Theory, Part II NIZK and Correlation Intractability from Circular-Secure FHE (PDF).” STOC 2019: Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing, 1082–1090.

Homework

Problem set for 6.5630 (PDF), due in two weeks.

Lecture Videos

Part 1

Part 2

Course Info

As Taught In
Fall 2023
Level
Learning Resource Types
Lecture Videos