Latest trends in public-key cryptography

The goal of this thesis is to describe principles of public-key cryptography, introduce and compare latest algorithms for asymmetric encryption and point out their advantages over the most popular cryptosystem - RSA. At the beginning, this thesis describes the evolution of public-key cryptography, its differences compared to symmetric-key cryptography and possibilities of using it for data encryption and digital signature. Mathematical background as well as principles of RSA are described afterwards. At the end, this thesis focuses on the latest algorithms on the basis of eliptic curves and their advantages over the most common algorithms are pointed out. The comparison is then summarized and a recommendation for the best cryptosystem is offered