"Babes-Bolyai" University of Cluj-Napoca
Faculty of Mathematics and Computer Science

Criptography
Code
Semes-
ter
Hours: C+S+L
Credits
Type
Section
MML0008
5
2+2+0
6
optional
Informatică
MML0008
6
2+1+0
5
optional
Matematică informatică
Teaching Staff in Charge
Prof. MARCUS Andrei, Ph.D.,  marcusmath.ubbcluj.ro
Lect. SACAREA Cristian, Ph.D.,  csacareamath.ubbcluj.ro
Aims
We present the most important algorithms for cryptography with private keys (DES, AES) and public keys (RSA, DSS), and also several protocols.
Content
Modular arithmetic. Congruences. Modular exponentiation. Quadratic residues. Classical cryptosystems. Complexity of algorithms. Factorization
Private key cryptosystems: DES, AES. Public key cryptosystems. One-way and trapdoor functions. Public key cryptosystems. RSA, Diffie-Hellman. Hash functions. Digital signature.
References
1. S. ARTO: Criptografie cu chei publice, Ed. Militara, Bucuresti 1983.
2. T. CORMEN, C. LEISERSON, R. RIVEST: Introducere în algoritmi. Computer Press Agora, Cluj Napoca1999.
3. N. KOBLITZ : A Course in Number Theory and Cryptography, Springer-Verlag, Berlin 1994.
4. R.LIDL, G. PILZ : Applied Abstract Algebra, Springer-Verlag, Berlin1998.
5. V.V. PATRICIU: Criptografie si securitatea retelelor de calculatoare. Ed. Tehnica, Bucuresti 1994
6. W. STALLINGS: Cryptography and Network Security, second ed., Prentice-Hall, 1999
Assessment
Homework. Essays. Exam.