Algebraic cryptology methods and some applications

In this study, the aim is to examine and be informed about the development of the science of encryption since its first appearence; encryption methods and process of algorithms that have been used from past to present. This thesis consists of two parts: The first part includes cryptology input, the encryption method used throughout history and the cryptograhic studies that have been performed in our country, the basic definitions used in cryptography and mathematical theorems and definitions used in cryptographic operations have been demonstrated. In the second part, cryptography and cryptanalysis definitions have been given. Moreover; cryptography methods that are Caesar encryption, relocation password, Polybius checkerboard, Bifid and Trifid encryption, Playfair encryption, Affine encryption, Morse, ADFGVX encryption, Vernam encryption, Vigenere encryption, Hill encryption, encryption with power functions and RSA encryption systems have been examined along with examples.