Master in Security of Integrated Systems and Application : Secure your future

Program

Public-key Cryptography Techniques (28h)

Sylvain Duquesne

Cryptography fundamentals

  1. Introduction to cryptography (7h)
  2. Mathematics for cryptography (21h)
  3. Algorithms for cryptography (28h)
  4. Secret-key cryptography techniques (28h)
  5. Public-key cryptography techniques (28h)

Synopsis

This course is constructed on the two main public-key cryptosystems. On the one hand RSA is currently the most used but has some weaknesses and on the other hand elliptic curve cryptosystems become more and more popular. The course is illustrated by 4 sessions on computers. During this course, students will acquire a good knowledge of the public-key cryptography and a solid formation on the two cryptosystems used currently and probably during the next decade (and even more).

Timetable

(A session amounts to 13/4 hours.)
Session 1
Introduction to public-key cryptography
Session 2
The RSA cryptosystem
Session 3
Parameter generation and protocols
Session 4
Attacks on the RSA system
Sessions 5–6
Computer application: RSA
Session 7
The discrete logarithm problem
Session 8
Protocols based on the discrete logarithm problem
Sessions 9
Attacks on the discrete logarithm problem
Session 10
Introduction to elliptic curves
Sessions 11–12
Elliptic curve cryptography
Session 13
Parameter generation
Session 14
Overview of other public key cryptosystems
Sessions 15–16
Computer application: Discrete logarithm problem

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