Babes-Bolyai University of Cluj-Napoca
Faculty of Mathematics and Computer Science
Study Cycle: Graduate
SUBJECT
| MML0013 | Elements of Criptography |
| Teaching Staff in Charge |
Prof. MARCUS Andrei, Ph.D., marcus 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. |
| References |
|
1. A. Salomaa: 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.
|
| Links: | Syllabus for all subjects Romanian version for this subject Rtf format for this subject |