「Cryptography-MIT6875」: Lecture 12

In this series, I will learn MIT 6.875, Foundations of Cryptography, lectured by Vinod Vaikuntanathan.
Any corrections and advice are welcome. ^ - ^

Topics Covered:

  • Construction of CRHF from Discrete Log

  • Digital Signatures only from OWF

  • Direct Constructions:Trapdoor Permutation and the Hash-and-Sign Paradigm.

  • Random Oracles.


「Cryptography-MIT6875」: Lecture 11

In this series, I will learn MIT 6.875, Foundations of Cryptography, lectured by Vinod Vaikuntanathan.
Any corrections and advice are welcome. ^ - ^

Today’s topic is Many-time Digital Signatures.

Topics Covered:

  • Many-time, stateful, signature schemes.
  • Naor-Yung construction: stateless EUF-CMA-secure signature schemes.

「Cryptography-MIT6875」: Lecture 10

In this series, I will learn MIT 6.875, Foundations of Cryptography, lectured by Vinod Vaikuntanathan.
Any corrections and advice are welcome. ^ - ^

Today’s topic is Digital Signatures.

Topics Covered:

  • Motivation for Digital Signatures.
  • Definition: EUF-CMA Security
  • One-time signatures: Lamport’s Scheme.
    • how to sign a single bit, once
    • how to sign $n$ bits, once
  • Collision-resistant hashing
    • how to sign polynomially many bits, once.