Cryptography

Quoting Wikipedia:

Cryptography or cryptology is the practice and study of techniques for secure communication in the presence of third parties called adversaries. More generally, cryptography is about constructing and analyzing protocols that prevent third parties or the public from reading private messages; various aspects in information security such as data confidentiality, data integrity, authentication, and non-repudiation are central to modern cryptography. Modern cryptography exists at the intersection of the disciplines of mathematics, computer science, and electrical engineering. Applications of cryptography include ATM cards, computer passwords, and electronic commerce.

In 2006, I was given the opportunity (through an EGIDE funded mission), to give a serie of lectures (in french) in the context of the “Cours Sécurité DEA Informatique” of the Univ. of Yaounde I (Cameroon). I also participated to several practical sessions on this topic within the Master in Security, Cryptology and Coding of Information systems, a joint program between Université Joseph Fourier (UJF) (now Université Grenoble-Alpes) and Grenoble INP between 2004 and 2007.

This page offers the material I prepared for this lecture.

Lectures

Title	Size	Language
Introduction à la cryptographie	2MB
Introduction à la cryptographie à clé publique, by: F. Leprévost, S. Varrette and N. Bernard	882 KB
Fonctions de Hachage et Signatures Electroniques	815K
Architectures PKI	346K

Note: I have also some support slides on elliptic curves cryptography but haven’t collected the authorization to display them online. If you need them, mail me so I can put you in contact with the primary authors of these slides.

Support Books

Several reference books can be used as support for this lecture: [1] [2] [3].

Otherwise, I strongly encourage you to check my own books related to this topic:

Exercises / Projects

Important: I feel obliged to insist: the below material (including appendix layout) are quite old now and would deserve a big refresh. They are proposed for archiving reasons in the hope they might still be useful to students / lecturers.
You will find way more up-to-date exercises in my book.

Title	Size	Language
TD: Pré-requis à la cryptographie à clé publique	69KB
TD: le Chiffrement RSA	38KB
TD: Collisions & fonctions de hachage	49KB
TD Analyse de Fréquence - src_TD-analyse_freq.tgz	126KB
Project (C): Implémentation de l’algorithme D.E.S - src_Project_C_DES.tgz	139KB
TP (C++): Manipulation du corps F256	79K
Project (C++): Implémentation de l’algorithme A.E.S - src_Project_C++_AES.tgz	181KB

Through the UJF/INPG Master SCCI, I prepared in collaboration with Prof. Gérard Vinel several exercises over MAPLE proposed below:

Title	Size	Language
TP MAPLE: Théorie des Nombres	78KB
TP MAPLE: Tests de primalité probabilistes	76KB

Past Exams

Below are (old) exams I prepared for lectures related to cryptography (and network security).

References

1. D. R. Stinson, Cryptography: Theory and Practice, 2nd ed. Chapman & Hall/CRC Press, 2002.
   
   BibTeX URL Abstract
   ×

   BibTeX

   @book{Stinson02,
     author = {Stinson, Douglas R.},
     title = {Cryptography: Theory and Practice},
     publisher = {Chapman \& Hall/CRC Press},
     edition = {2nd},
     year = {2002},
     isbn = {1-58488-206-9},
     url = {http://www.cacr.math.uwaterloo.ca/~dstinson/CTAP2/CTAP2.html},
     optannote = {}
   }
   

2. B. Schneier, "Cryptographie Appliquée", 2nd ed. NY: Vuibert, Wiley and International Thomson Publishing, 1997.
   
   BibTeX Abstract
   ×

   BibTeX

   @book{Schneier97,
     author = {Schneier, Bruce},
     title = {{"Cryptographie Appliquée"}},
     publisher = {Vuibert, Wiley and International Thomson Publishing},
     year = {1997},
     address = {NY},
     edition = {2nd},
     isbn = {2-7117-8676-5},
     optannote = {Edition originale: "Applied Cryptography"}
   }
   

3. A. J. Menezes, S. A. Vanstone, and P. C. V. Oorschot, Handbook of Applied Cryptography, 1st ed. CRC Press, Inc., 1996.
   
   BibTeX Abstract
   ×

   BibTeX

   @book{Menezes96,
     author = {Menezes, Alfred J. and Vanstone, Scott A. and Oorschot, Paul C. Van},
     title = {Handbook of Applied Cryptography},
     publisher = {CRC Press, Inc.},
     year = {1996},
     isbn = {0-8493-8523-7},
     series = {Computer Sciences Applied Mathematics Engineering},
     edition = {1st},
     note = {see http://www.cacr.math.uwaterloo.ca/hac/}
   }