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The Cryptography is the study of secret writings, which means of the methods to transmit a message between two people in such a way that it is impossible for a third person to read the message. In this seminar we will give an overview of the mathematical tools used in Cryptography. Bibliography: 1) W. Trappe, L. C. Washington - Introduction to Cryptography, with coding theory, Pearson, 2006. 2) N.Koblitz - A Course in Number Theory and Cryptography, Springer, 1994. 3) N. Koblitz - Algebraic aspects of Cryptography, Springer, Springer, 1998.