Contact Details and Lecture Time

• Associate Professor Jiageng Chen （陈嘉耕）jiageng.chen@mail.ccnu.edu.cn
• Consultation Time: Wednesday: 16:00-18:00
• Lecture Time: Tuesday: 13:40-15:40, 8216

Subject Organization

 What is this subject about?

• Cryptographic foundations for computer security.
• Cryptographic primitives.
• Cryptanalysis.
• Mathematics for public key cryptography.
• Security proofs and modeling.

The objectives of this subject

• Describe the fundamental requirements of cryptographic systems.
• Analyze and understand formal presentations of security systems.
• Apply some cryptanalytic techniques.
• Appreciate the difference between symmetric key and public key systems, at the application level and the underlying mathematical level.
• Interpret and possibly develop security proofs.

Required Background

• Some familiarity with number theory.
• Some familiarity with algebra.
• Having studied some cryptography will help a lot.

Approximate Contents

• Introduction, cryptology
• Encryption, block ciphers: AES
• Linear cryptanalysis, differential cryptanalysis
• Number theory for cryptography
• Hashing
• Integrity
• Security notions
• Public key cryptography
• ElGamal, Cramer-Shoup, Signature schemes
• Elliptic curve cryptography
• Bilinear pairing
• Identity based cryptography

References

• A Graduate Course in Applied Cryptography by D.Boneh and V.Shoup
• Introduction to Modern Cryptography, Jonathan Katz, Yehuda Lindell
• Understanding Cryptography, Christof Paar and Jan Pelzl,2010.
• block Cipher Companion, Lars R.Knudsen, Matthew J.B.Robshaw
• William Stallings. Cryptography and Network Security: Principles and Practices. Prentice Hall.