CryptographieDéveloppement et Mathématiques pour l'ingénieur (STI)

• Mastering cryptographic concepts and algorithms

• History of cryptography,

• Symmetrical Cryptography:

• • -Floating figures, A5/1
• • -Block encryption, Feistel network, DES, permutation-substitution, AES
• • -Hachage, Construction Merkle-Damgård, MD5, SHA-2,
• • • Message authentication code, HMAC, Encrypt-then-MAC

• Asymmetric Cryptography:

• • -Arithmetic (first numbers, finite groups, Fermat theorem, Lagrange theorem, Fermat theorem, Euler theorem)
• • -Arithmetic algorithm (fast exposure, primality test)
• • -Diffie-Hellman key exchange
• • -Asymmetric encryption, signature, RSA, ElGamal
• • • End-to-end encryption, hybrid encryption, Hash-then-sign
• • -PKI and SSL

For FISE, Continuous + Review:

• a rated TD (implementation of RSA in wise) coefficient 1
• a final review on coefficient 3 sheet (authorized documents: calculator and documents specified in progress)

For FISA, Continuous Control:

• 2 TDs rated, and two knowledge checks during sessions.

• Stinson, Douglas Robert; Vaudenay, Serge; Oats, Gildas; Junod, Pascal, "Cryptography: theory and practice", Vuibert
• Schneier, Bruce; Vienna, Laurent, "Applied Cryptography: C-based algorithms, protocols and source codes", Vuibert
• Ferguson, Niels; Schneier, Bruce; Wauquier, Henri-Georges; Debonne, Raymond, "Cryptography: in practice", Vuibert