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Course, academic year 2019/2020
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Theoretic Cryptography I - NMMB307
Title in English: Teoretická kryptografie I
Guaranteed by: Department of Algebra (32-KA)
Faculty: Faculty of Mathematics and Physics
Actual: from 2018
Semester: winter
E-Credits: 3
Hours per week, examination: winter s.:2/0 Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: Czech
Teaching methods: full-time
Guarantor: Mgr. Robert El Bashir, Ph.D.
Class: M Bc. MMIB
M Bc. MMIB > Povinné
M Bc. MMIT
M Bc. MMIT > Povinné
M Bc. OM
M Bc. OM > Povinně volitelné
Classification: Mathematics > Algebra
Incompatibility : NMMB305
Interchangeability : NMMB305
Is co-requisite for: NMMB308
Annotation -
Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (09.05.2018)
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.
Course completion requirements - Czech
Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (11.06.2019)

Předmět je zakončen ústní zkouškou.

Literature -
Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (09.05.2018)

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.

Requirements to the exam - Czech
Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (11.06.2019)

Zkouška je ústní. Požadavky ke zkoušce odpovídají sylabu předmětu v rozsahu, který byl prezentován na přednášce.

Syllabus -
Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (09.05.2018)

Shannon theory, symmetric cryptography, linear reccuring requences (period, spectrum, randomness criteria, Berlekamp-Massey algorithm), Boolean functions (spectrum, correlation matrix, difference propagation, cryptographic criteria).

 
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