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A course is the basic teaching unit, it's design as a medium for a student to acquire comprehensive knowledge and skills indispensable in the given field. A course guarantor is responsible for the factual content of the course.
For each course, there is a department responsible for the course organisation. A person responsible for timetabling for a given department sets a time schedule of teaching and for each class, s/he assigns an instructor and/or an examiner.
Expected time consumption of the course is expressed by a course attribute extent of teaching. For example, extent = 2 +2 indicates two teaching hours of lectures and two teaching hours of seminar (lab) per week.
At the end of each semester, the course instructor has to evaluate the extent to which a student has acquired the expected knowledge and skills. The type of this evaluation is indicated by the attribute completion. So, a course can be completed by just an assessment ('pouze zápočet'), by a graded assessment ('klasifikovaný zápočet'), or by just an examination ('pouze zkouška') or by an assessment and examination ('zápočet a zkouška') .
The difficulty of a given course is evaluated by the amount of ECTS credits.
The course is in session (cf. teaching is going on) during a semester. Each course is offered either in the winter ('zimní') or summer ('letní') semester of an academic year. Exceptionally, a course might be offered in both semesters.
The subject matter of a course is described in various texts.

ANI-BVS Embedded Security Extent of teaching: 2P+2C
Instructor: Novotný M. Completion: Z,ZK
Department: 18103 Credits: 5 Semester: L

Annotation:
Students gain basic knowledge in selected topics of cryptography and cryptanalysis. The course focuses particularly on efficient implementations of cryptographic primitives in hardware and software (in embedded systems). Students gain a good overview of functionality of (hardware) cryptographic accelerators, smart cards, and resources for securing internal functions of computer systems.

Lecture syllabus:
1. Embedded Systems with Cryptographic Features, SmartCards.
2. Attacks on Cryptographic Systems I: Correlation Power Analysis.
3. Introduction to Elliptic Curve Cryptography (ECC).
4. ECC, Arithmetics over GF(p), Montgomery Domain.
5. ECC, Arithmetics over GF(2^m) with Polynomial Basis Representation.
6. ECC, Arithmetics over GF(2^m) with Normal Basis Representation.
7. (Pseudo)Random Number Generators in Embedded Systems.
8. Efficient Exponentiation.
9. Efficient Implementation of RSA, Efficient Multiplication.
10. Attacks on Cryptographic Systems II: Brute-Force attacks, Meet-in-the-Middle Attack.
11. Attacks on Cryptographic Systems II: Time-Memory Trade-Off (TMTO) Tables Attacks.
12. Attacks on Cryptographic Systems III: Guess-and-Determine Attack.
13. Attacks on Cryptographic Systems IV: Side-Channel and Fault-Injection Attacks.

Seminar syllabus:
1. Implementation of a symmetric cipher in an FPGA or a microcontroller.
2. Differential Power Analysis
3. Elliptic Curve Cryptography (ECC). Point addition over elliptic curve; its implementation in the FPGA or the microcontroller.
4. Diffie-Hellman key exchange over elliptic curve (ECDH); its implementation in the FPGA or the microcontroller.
5. RSA.

Literature:
1. Paar, C.: Implementation of Cryptographic Schemes 1. Ruhr-University Bochum, 2015. ISBN xxxx.
2. Paar, C.: Implementation of Cryptographic Schemes 2. Ruhr-University Bochum, 2012. ISBN xxxx.
3. Deschamps, J. P. - Imana, J. L. - Sutter, G. D.: Hardware Implementation of Finite-Field Arithmetic. McGraw Hill, 2009. ISBN 978-0-0715-4581-5.
4. Brooks, C.J. - Grow, C. - Craig, P. - Short, D.: Cybersecurity Essentials, 1st Edition. Sybex, 2018. ISBN 978-1119362395.
5. Menezes, A.J. - van Oorschot, P.C. - Vanstone, S.A.: Handbook of Applied Cryptography. CRC press, 2018. ISBN 9780429466335.

Requirements:

Výukové materiály na https://courses.fit.cvut.cz/NI-BVS/index.html

The course is also part of the following Study plans:
Study Plan Study Branch Role Recommended semester
QNI Unspecified Specialisation of Study V 2
ANI-WI Web Engineering VO 2
ANI-SI Software Engineering (in Czech) VO 2
NI-PB.2026 Computer Security V 2
NI-SPOL.2026 Unspecified Specialisation of Study V 2
NI-UI.2026 Artificial Intelligence V 2
NI-PJ.2026 Programming Languages V 2
NI-TI.2026 Computer Science V 2
NI-PSS.2026 Computer Systems and Networks V 2
ANI-MI Business Informatics VO 2
ANI-VG Visual computing and Game design VO 2
ANI-SPOL Unspecified Specialisation of Study VO 2
ANI-ES Embedded systems PS 2


Page updated 18. 8. 2026, semester: Z/2023-4, Z/2021-2, Z/2022-3, L/2025-6, L/2022-3, Z/2025-6, L/2023-4, L/2024-5, Z/2026-7, L/2021-2, L/2026-7, Z/2024-5, Send comments to the content presented here to Administrator of study plans Design and implementation: J. Novák, I. Halaška