Técnicas de criptografía en las comunicaciones modernas. Empleo del método de curvas elípticas.

Abstract

The present project of study is oriented to realize a simulation of an asymmetric cryptographic algorithm of key cut using the method of elliptic curves; this research work is structured in three chapters. In chapter one, the description of the present titration work is carried out, such as: justification, background, problem definition, general objective, specific objectives, hypothesis and, the methodology to be followed. In chapter two, the theoretical foundation of Cryptography is developed, which explains the origins of Cryptography and its main definitions used; then the Symmetric Cryptography and the development of Asymmetric Cryptography are described; it has been tried, in each type of Cryptography, to specify the most relevant of the most used algorithms, which does not stop being less important subjects to highlight. A brief reference is made to Cryptanalysis, both for Symmetric and Asymmetric Systems and, finally, a brief description is made regarding Ciphering and Quantum Cryptanalysis. In chapter three, all the theoretical part related to Cryptography with Elliptical Curves is done; With these bases, a proposal of modeling an asymmetric algorithm is made by means of an open source tool, finally, conclusions and recommendations are shown.