SubjectsSubjects(version: 953)
Course, academic year 2023/2024
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Mathematical Cryptography and Cryptoanalysis II - NMMB336
Title: Matematická kryptografie a kryptoanalýza II
Guaranteed by: Department of Algebra (32-KA)
Faculty: Faculty of Mathematics and Physics
Actual: from 2023
Semester: summer
E-Credits: 3
Hours per week, examination: summer s.:2/0, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: Czech
Teaching methods: full-time
Teaching methods: full-time
Guarantor: Mgr. Veronika Bartová
Class: M Bc. MMIB
M Bc. MMIB > Povinné
M Bc. MMIT > Povinné
M Bc. OM > Povinně volitelné
Classification: Mathematics > Algebra
Co-requisite : NMMB335
Incompatibility : NMMB305, NMMB308
Interchangeability : NMMB305, NMMB308
Is incompatible with: NMMB308
Is interchangeable with: NMMB308
Annotation -
Required course for bachelor's program in Information security. The course describes basic methods and problems of cryptography. One by one, basic cryptographic primitives (modules) are described. The course also contains implementation and overview of the most important protocols.
Last update: Kaplický Petr, doc. Mgr., Ph.D. (30.05.2019)
Literature -

Neal Koblitz: Algebraic aspects of cryptography, Springer Verlag 1998;

Douglas R. Stinson: Cryptography: Theory and practice, Chapman and Hall, Boca Raton, 2006.

Serge Vaudenay, A classical introduction to cryptography: applications for communications security, Springer, New York, 2006.

Michael Luby: Pseudorandomness and cryptographic applications, Princeton Univ Pr. Princeton 1996.

Last update: Kaplický Petr, doc. Mgr., Ph.D. (30.05.2019)
Syllabus -

Asymmetric cryptosystems - one-way functions, RSA and factorization algorithms, quadratic sieve, discrete logarithm problem, Diffie-Hellman problem, ECDH, quantum threat, post-quantum algorithms on lattices, linear codes and multivariates.

Last update: Žemlička Jan, doc. Mgr. et Mgr., Ph.D. (02.01.2024)
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