Cryptography (WS 2025/26)
Understand the building blocks of modern cryptographic protocols and learn the basics of cryptanalysis
Table of Content
Content
Cryptography is the mathematical backbone of information security. This lecture covers the most important building blocks modern cryptographic protocols and their security, including:- Authenticated Encryption, hashing, and symmetric primitives (AES-GCM, SHA-3, ...)
- Asymmetric encryption and digital signatures (RSA, DH, DSA, ECC, post-quantum crypto, ...)
- Authentication and key-exchange protocols, including an introduction to advanced privacy-preserving protocols
Material
| Date | Who | Lecture 15:00–17:00 (HS i1) | Practicals 14:00–15:00 (HS i1, i5, or i14) |
|---|---|---|---|
| 03.10.2025 | ME | L1 – Introduction | – |
| 10.10.2025 | ME | L2 – Symm. Primitives 1 – Block Ciphers & Friends | T1 |
| 17.10.2025 | ME | L3 – Symm. Primitives 2 – Lightweight Crypto | T2 |
| 24.10.2025 | ME | L4 – Symm. Primitives 3 – Cryptanalysis | T3 |
| 31.10.2025 | ME | L5 – Symm. Modes 1 – Authentication | T4 |
| 07.11.2025 | ME | L6 – Symm. Modes 2 – Encryption | T5 |
| 14.11.2025 | KU Exam 1 | ||
| 21.11.2025 | ME | L7 – Asymmetric Primitives 1 – Factoring, RSA | T6 |
| 28.11.2025 | ME | L8 – Asymmetric Primitives 2 – Discrete Log, ECC | T7 |
| 05.12.2025 | ME | L9 – Asymmetric Primitives 3 – PQC 1 | T8 |
| 12.12.2025 | ME | LA – Asymmetric Primitives 4 – PQC 2 | T9 |
| Holidays | - | ||
| 09.01.2026 | ME | LB – Protocols 1 – Authentication, Key Exchange | TA |
| 16.01.2026 | ME | LC – Protocols 2 – Advanced Protocols, Privacy | TB |
| 23.01.2026 | KU Exam 2 | ||
| VO Exam | - |
All lecture videos from WS 2020/2021 are available as a YouTube playlist.
The lecture slides are reasonably self-contained, but often briefly phrased. If you prefer full-text resources, you may find some of the following books interesting:
- Serious Cryptography, by J.-P. Aumasson
- Introduction to Cryptography with Coding Theory, by W. Trappe, L.C. Washington
Administrative Information
Our communication channel for questions is Discord.Lecture Exams (VO)
The VO exam is a written exam (for the main exam dates; alternatively, you can contact us for an oral exam any time). We will ask 4 questions on different topics; you can find lists of example questions to test yourself on the last slide for each lecture. Please find the exam dates and registration in TUGRAZonline.Exercise Sheets (KU)
We recommend to visit the KU and VO of Cryptography in the same semester. In the exercises, you practice the new topics in weekly exercise classes. The tasks are handed out after each week's lectures, and due for the exercises of the following week, where one student will be selected to present the solution for each of the tasks. Thus, presence is mandatory if you tick any tasks. You need to solve 50% of all examples to complete the KU. Use the TU Graz TeachCenter to tick the tasks you solved before each class. If you solve more than the required 50%, we will reward you with bonus points that are added to your exam results – for details, please check the lecture slides. Most of the exercises are pen-and-paper thinking exercises, but each sheet includes a bonus challenge that will require some programming. We treat the involvement of ChatGPT and similar tools the same way as the involvement of another natural person. That is, for involvement that qualifies as plagiarism or an impermissible level of assistance, the consequences will be the same in both cases.Exercise Exams (KU)
The grades for the KU are based on two exams (and the required 50% tick rate), plus bonus tasks. The dates and place are announced on this website. All students that participate at least in the first exam will receive a grade (positive or negative). There is a "second-chance" exam in February where you can re-take a KU exam (e.g., if you missed the main date or it didn't go so well).Lecture Dates
| Date | Begin | End | Location | Event | Type | Comment |
|---|---|---|---|---|---|---|
| 2025/10/17 | 14:00 | 15:00 | HS i1 | Abhaltung | KU | fix/ |
| 2025/10/17 | 14:00 | 15:00 | HS i14 | Abhaltung | KU | fix/ |
| 2025/10/17 | 14:00 | 15:00 | HS i5 | Abhaltung | KU | fix/ |
| 2025/10/17 | 15:00 | 17:00 | HS i1 | Abhaltung | VO | fix/ |
| 2025/10/24 | 14:00 | 15:00 | HS i5 | Abhaltung | KU | fix/ |
| 2025/10/24 | 14:00 | 15:00 | HS i1 | Abhaltung | KU | fix/ |
| 2025/10/24 | 14:00 | 15:00 | HS i14 | Abhaltung | KU | fix/ |
| 2025/10/24 | 14:00 | 15:00 | HS i14 | Abhaltung | KU | fix/ |
| 2025/10/24 | 15:00 | 17:00 | HS i1 | Abhaltung | VO | fix/ |
| 2025/10/31 | 14:00 | 15:00 | HS i5 | Abhaltung | KU | fix/ |
| 2025/10/31 | 14:00 | 15:00 | HS i1 | Abhaltung | KU | fix/ |
| 2025/10/31 | 14:00 | 15:00 | HS i14 | Abhaltung | KU | fix/ |
| 2025/10/31 | 15:00 | 17:00 | HS i1 | Abhaltung | VO | fix/ |
| 2025/11/07 | 14:00 | 15:00 | HS i5 | Abhaltung | KU | fix/ |
| 2025/11/07 | 14:00 | 15:00 | HS i1 | Abhaltung | KU | fix/ |
| 2025/11/07 | 14:00 | 15:00 | HS i14 | Abhaltung | KU | fix/ |
| 2025/11/07 | 15:00 | 17:00 | HS i1 | Abhaltung | VO | fix/ |
| 2025/11/14 | 14:00 | 15:00 | HS i5 | Abhaltung | KU | fix/ |
| 2025/11/14 | 14:00 | 15:00 | HS i1 | Abhaltung | KU | fix/ |
| 2025/11/14 | 14:00 | 15:00 | HS i14 | Abhaltung | KU | fix/ |
| 2025/11/14 | 15:00 | 17:00 | HS i1 | Abhaltung | VO | fix/ |
| 2025/11/21 | 14:00 | 15:00 | HS i1 | Abhaltung | KU | fix/ |
| 2025/11/21 | 14:00 | 15:00 | HS i14 | Abhaltung | KU | fix/ |
| 2025/11/21 | 15:00 | 17:00 | HS i11 "SIEMENS Hörsaal" | Abhaltung | KU | fix/ |
| 2025/11/21 | 15:00 | 17:00 | HS i2 | Abhaltung | KU | fix/ |
| 2025/11/21 | 15:00 | 17:00 | HS i1 | Abhaltung | VO | fix/ |
| 2025/11/28 | 14:00 | 15:00 | HS i1 | Abhaltung | KU | fix/ |
| 2025/11/28 | 14:00 | 15:00 | HS i14 | Abhaltung | KU | fix/ |
| 2025/11/28 | 14:00 | 15:00 | HS i5 | Abhaltung | KU | fix/ |
| 2025/11/28 | 15:00 | 17:00 | HS i1 | Abhaltung | VO | fix/ |
| 2025/12/05 | 14:00 | 15:00 | HS i1 | Abhaltung | KU | fix/ |
| 2025/12/05 | 14:00 | 15:00 | HS i14 | Abhaltung | KU | fix/ |
| 2025/12/05 | 15:00 | 17:00 | HS i1 | Abhaltung | VO | fix/ |
| 2025/12/12 | 14:00 | 15:00 | HS i1 | Abhaltung | KU | fix/ |
| 2025/12/12 | 14:00 | 15:00 | HS i14 | Abhaltung | KU | fix/ |
| 2025/12/12 | 14:00 | 15:00 | HS i5 | Abhaltung | KU | fix/ |
| 2025/12/12 | 15:00 | 17:00 | HS i1 | Abhaltung | VO | fix/ |
| 2025/12/19 | 14:00 | 15:00 | HS i5 | Abhaltung | KU | fix/ |
| 2025/12/19 | 14:00 | 15:00 | HS i1 | Abhaltung | KU | fix/ |
| 2025/12/19 | 14:00 | 15:00 | HS i14 | Abhaltung | KU | fix/ |
| 2025/12/19 | 15:00 | 17:00 | HS i1 | Abhaltung | VO | fix/ |
| 2026/01/09 | 14:00 | 15:00 | HS i5 | Abhaltung | KU | fix/ |
| 2026/01/09 | 14:00 | 15:00 | HS i1 | Abhaltung | KU | fix/ |
| 2026/01/09 | 14:00 | 15:00 | HS i14 | Abhaltung | KU | fix/ |
| 2026/01/09 | 15:00 | 17:00 | HS i1 | Abhaltung | VO | fix/ |
| 2026/01/16 | 14:00 | 15:00 | HS i14 | Abhaltung | KU | fix/ |
| 2026/01/16 | 14:00 | 15:00 | HS i14 | Abhaltung | KU | fix/ |
| 2026/01/16 | 14:00 | 15:00 | HS i5 | Abhaltung | KU | fix/ |
| 2026/01/16 | 14:00 | 15:00 | HS i1 | Abhaltung | KU | fix/ |
| 2026/01/16 | 15:00 | 17:00 | HS i1 | Abhaltung | VO | fix/ |
| 2026/01/23 | 14:00 | 15:00 | HS i1 | Abhaltung | KU | fix/ |
| 2026/01/23 | 14:00 | 15:00 | HS i14 | Abhaltung | KU | fix/ |
| 2026/01/23 | 14:00 | 15:00 | HS i5 | Abhaltung | KU | fix/ |
| 2026/01/23 | 15:00 | 17:00 | HS i2 | Abhaltung | KU | fix/ |
| 2026/01/23 | 15:00 | 17:00 | HS i11 "SIEMENS Hörsaal" | Abhaltung | KU | fix/ |
| 2026/01/23 | 15:00 | 17:00 | HS i1 | Abhaltung | VO | fix/ |
| 2026/01/30 | 15:00 | 17:00 | HS i1 | Abhaltung | VO | fix/ |
