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1 CIS 5371 Cryptography 4. Collision Resistant Hash Functions B ased on: Jonathan Katz and Yehuda Lindell Introduction to Modern Cryptography.

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Presentation on theme: "1 CIS 5371 Cryptography 4. Collision Resistant Hash Functions B ased on: Jonathan Katz and Yehuda Lindell Introduction to Modern Cryptography."— Presentation transcript:

1 1 CIS 5371 Cryptography 4. Collision Resistant Hash Functions B ased on: Jonathan Katz and Yehuda Lindell Introduction to Modern Cryptography

2 2 Collision Resistance

3 3 Definition 5.1, Hash Function

4 4

5 5 Definition 4.12 Collision Resistant Hash Function

6 6 Weaker notions of security for Hash Functions

7 7

8 8 Generic birthday attack

9 9 Improved birthday attack

10 10 Improved birthday attack

11 11 Construction 4.12 The Merkle-Damgaard transform

12 12 The Merkle-Damgaard transform...

13 13 Theorem 4.14

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