Course
KRY - Cryptography
PDF Course Catalog Deutsche Version: KRY
Version: 3 | Last Change: 05.04.2022 18:00 | Draft: 0 | Status: vom verantwortlichen Dozent freigegeben
| Long name | Cryptography |
|---|---|
| Approving CModule | KRY_MaCSN, KRY_MaTIN |
| Responsible |
Prof. Dr. Heiko Knospe
Professor Fakultät IME |
| Level | Master |
| Semester in the year | summer semester |
| Duration | Semester |
| Hours in self-study | 78 |
| ECTS | 5 |
| Professors |
Prof. Dr. Heiko Knospe
Professor Fakultät IME |
| Requirements | Mathematics (Bachelor level) and programming skills. |
| Language | English |
| Separate final exam | Yes |
Literature
M. Bellare, P. Rogaway, Introduction to Modern Cryptography, UCSD CSE
H. Delfs, H. Knebl, Introduction to Cryptography, Springer
S. Goldwasser, M. Bellare, Lecture Notes on Cryptography, MIT
J. Hoffstein, J. Pipher, J.H. Silverman, An Introduction to Mathematical Cryptography, Springer
J. Katz, Y. Lindell, Introduction to Modern Cryptography, CRC Press
H. Knospe, A Course in Cryptography, American Mathematical Society
C. Paar, J. Pelz, Understanding Cryptography. Springer
N.P. Smart, Cryptography Made Simple, Springer
K. H. Rosen, Discrete Mathematics and its Applications, McGraw-Hill
V. Shoup, A Computational Introduction to Number Theory and Algebra, Cambridge University Press
H. Delfs, H. Knebl, Introduction to Cryptography, Springer
S. Goldwasser, M. Bellare, Lecture Notes on Cryptography, MIT
J. Hoffstein, J. Pipher, J.H. Silverman, An Introduction to Mathematical Cryptography, Springer
J. Katz, Y. Lindell, Introduction to Modern Cryptography, CRC Press
H. Knospe, A Course in Cryptography, American Mathematical Society
C. Paar, J. Pelz, Understanding Cryptography. Springer
N.P. Smart, Cryptography Made Simple, Springer
K. H. Rosen, Discrete Mathematics and its Applications, McGraw-Hill
V. Shoup, A Computational Introduction to Number Theory and Algebra, Cambridge University Press
Final exam
Details
Written ExamMinimum standard
Passing the examExam Type
Written ExamLearning goals
Knowledge
* Mathematical Fundamentals
* Encryption Schemes and Definitions of Security
* Elementary Number Theory
* Algebraic Structures
* Block Ciphers
* Stream Ciphers
* Hash Functions
* Message Authentication Codes
* Public-Key Encryption and the RSA Cryptosystem
* Key Establishment
* Digital Signatures
* Elliptic Curve Cryptography
* Outlook: Post-quantum cryptography
* Encryption Schemes and Definitions of Security
* Elementary Number Theory
* Algebraic Structures
* Block Ciphers
* Stream Ciphers
* Hash Functions
* Message Authentication Codes
* Public-Key Encryption and the RSA Cryptosystem
* Key Establishment
* Digital Signatures
* Elliptic Curve Cryptography
* Outlook: Post-quantum cryptography
Expenditure classroom teaching
| Type | Attendance (h/Wk.) |
|---|---|
| Lecture | 2 |
| Exercises (whole course) | 1 |
| Exercises (shared course) | 0 |
| Tutorial (voluntary) | 0 |
Special literature
keine/none
Special requirements
-
Accompanying material
keine/none
Separate exam
none
Learning goals
Skills
- Solve mathematical and cryptographical problems in Python / SageMath: working with large integers and residue classes, factorization, primality and prime density, RSA key generation and encryption / decryption, Diffie-Hellman key exchange.
- Write code to encrypt and decrypt files using the AES block cipher and different operation modes. Analyze the statistical properies of AES ciphertext.
- Write code for RSA key generation, key encapsulation / decapsulation and hybrid encryption / decryption.
- Write code to encrypt and decrypt files using the AES block cipher and different operation modes. Analyze the statistical properies of AES ciphertext.
- Write code for RSA key generation, key encapsulation / decapsulation and hybrid encryption / decryption.
Expenditure classroom teaching
| Type | Attendance (h/Wk.) |
|---|---|
| Practical training | 1 |
| Tutorial (voluntary) | 0 |
Special literature
keine/none
Special requirements
-
Accompanying material
keine/none
Separate exam
Exam Type
working on practical scenarion (e.g. in a lab)Details
Individual feedback and passing gradeMinimum standard
Successful completion of all lab tasks.
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