PřF:M0170 Cryptography - Course Information
M0170 Cryptography
Faculty of ScienceSpring 2004
- Extent and Intensity
- 2/1/0. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
- Teacher(s)
- prof. RNDr. Jan Paseka, CSc. (lecturer)
- Guaranteed by
- prof. RNDr. Jan Paseka, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. RNDr. Jan Paseka, CSc. - Prerequisites
- Mathematical analysis I. and II., Linear algebra and geometry I. and II. , Fundamentals of mathematics, Algebra I, Probability and Statistics.
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Applied Informatics (programme FI, B-AP)
- Applied Informatics (programme FI, N-AP)
- Informatics (programme FI, B-IN)
- Informatics (programme FI, M-IN)
- Informatics (programme FI, N-IN)
- Mathematics (programme PřF, B-MA)
- Mathematics (programme PřF, M-MA)
- Mathematics (programme PřF, N-MA)
- Course objectives
- The basic aim of the lecture is the introduction of the student to establish the mathematical basics of the cryptography theory. Some applications, especially in computer science, of the cryptography theory are mentioned.
- Syllabus
- Introduction. A very abstract summary. History. Outline of the course. Cryptosystems and their application in computer science. Basic principles. Breaking a cryptosystem. Perfect secrecy. The one time-pad and linear shift-register sequences. The one time-pad. The insecurity of linear shift register sequences. One-way functions. Informal approach; the password problem. Using NP-hard problems as cryptosystems. The Data Encryption Standard (DES). The discrete logarithm. Public key cryptosystems. The idea of a trapdoor function. The Rivest-Shamir-Adleman (RSA) system. A public-key system based on the discrete logarithm. Authentication and digital signatures. Authentication in a communication system. Using public key networks to send signed messages. Two-party protocols. Multi-party protocols. Randomized encryption.
- Literature
- Welsh, Dominic.: Codes and Cryptography.Oxford University Press,M New York 1989. ISBN
- Porubský, Š. a Grošek, O. Šifrovanie. Algoritmy, Metódy, Prax. Grada, Praha 1992. ISBN 80-85424-62-2
- MENEZES, A. J., Paul van OORSCHOT and Scott A. VANSTONE. Handbook of applied cryptography. Boca Raton: CRC Press, 1997, xiii, 780. ISBN 0-8493-8523-7. info
- SCHNEIER, Bruce. Applied cryptography : protocols, algorithms, and source code in C. New York: John Wiley & Sons, 1996, xxiii, 758. ISBN 0471128457. info
- SALOMAA, Arto. Public-key cryptography. 2nd ed. Berlin: Springer, 1996, x, 271. ISBN 3540613560. info
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- Study Materials
The course is taught once in two years.
The course is taught: every week. - Listed among pre-requisites of other courses
- FI:PV079 Applied Cryptography
IV054 || PřF:M0170 || IA174 || now(IA174) || souhlas
- FI:PV079 Applied Cryptography
- Teacher's information
- http://www.math.muni.cz/~paseka
- Enrolment Statistics (Spring 2004, recent)
- Permalink: https://is.muni.cz/course/sci/spring2004/M0170