Course­ Manual 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
Valid from summer semester 2021
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
Final exam
Details Written Exam
Minimum standard Passing the exam
Exam Type EN Klausur

Learning goals
Goal type Description
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
Expenditure classroom teaching
Type Attendance (h/Wk.)
Lecture 2
Exercises (whole course) 1
Exercises (shared course) 0
Tutorial (voluntary) 0
Special requirements
-
Accompanying material undefined
Separate exam No

Learning goals
Goal type Description
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.
Expenditure classroom teaching
Type Attendance (h/Wk.)
Practical training 1
Tutorial (voluntary) 0
Special requirements
-
Accompanying material undefined
Separate exam Yes
Separate exam
Exam Type EN praxisnahes Szenario bearbeiten (z.B. im Praktikum)
Details Individual feedback and passing grade
Minimum standard Successful completion of all lab tasks.

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