Babes-Bolyai University of Cluj-Napoca
Faculty of Mathematics and Computer Science
Study Cycle: Graduate
SUBJECT

Code	Subject	
MA024	Cryptography	

Section	Semester	Hours: C+S+L	Category	Type	
Mathematics - in Hungarian	8	2+2+0		optional	
Computer Science - in Hungarian
Computer Science - in English	8	2+2+0		optional	
Mathematics-Computer Science - in Hungarian	8	2+2+0		optional	

Teaching Staff in Charge	Lect. SZANTO Csaba Lehel, Ph.D., szanto@math.ubbcluj.ro
Lect. SACAREA Cristian, Ph.D., csacarea@math.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.	
Bibliography	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.