Introduction to cryptology

M1 MoSIG, INFO and AM, U. Grenoble Alpes

Lecturers: Pierre Karpman and Bruno Grenet

The documents for the first part of the cours are available on Pierre Karpman’s webpage.

Slides

• CM4 : Key exchange protocols
• CM5 : Public-key encryption
• CM6 : Digital signatures
• CM7 : RSA encryption scheme and signatures
• CM8 : TLS protocol

Exercise sheets

• TD4 : Key exchange protocols
• TD5 : Public-key encryption
• TD6 : Digital signatures
• TD7 : The RSA ecosystem

Some additional documents

• Probability Theory 101: If you’re unfamiliar with (discrete) probability theory, it may be worth it to have a look at these (you can focus on part 1 and 2). Try to do some exercises!

(other documents may appear later)

Bibliography

• J. Katz, Y. Lindell. Introduction to modern cryptography, 3rd. ed., CRC Press, 2021.

Very good textbook, unfortunately quite expensive.

• D. Boneh et V. Shoup. A Graduate Course in Applied Cryptography, version 0.6, Jan. 2023.

A slightly more difficult resource, but available for free and legally online.

• B. Barak. An intensive Introduction to Cryptography, course notes.

More theoretical presentation, for complexity theory lovers!

• M. Rosulek. The Joy of Cryptography, course notes, 2021.

From the webpage: “The Joy of Cryptography is a free undergraduate-level textbook that introduces students to the fundamentals of provable security.”

Previous year

Slides

1. Introduction
2. Block ciphers
3. Symmetric encryption
4. Hash functions
5. Message authentication codes & Authenticated encryption
6. Key exchange
7. Public-key encryption
8. Digital signatures
9. RSA public-key encryption and signatures
10. Transport Layer Security (TLS)

Exercise sheets

• TD 1: Introduction
• TD 2: Block ciphers
• TD 3: Symmetric encryption
• TD 4: Hash functions
• TD 5: Message authentication codes & authenticated encryption
• TD 6: Key exchange
• TD 7: Public-key encryption
• TD 8: Digital signatures
• TD 9: The RSA ecosystem

TP

• TP Multicollisions [mc.tar.bz2]

Exams

• Mid term
• Final Exam

Additional documents

• Probability Theory 101: If you’re unfamiliar with (discrete) probability theory, it may be worth it to have a look at these (you can focus on part 1 and 2). Try to do some exercises!
• One-time pad proof: a (correct!) proof of perfect secrecy for the one-time pad.
• AES animation from this website
• Birthday bounds: fully-written formal proofs

Last modification : April 17., 2024