Study of the theory of numbers applied to some cryptographic methods using TIC

Abstract

A In sciences, cryptography is a branch of math called “The Theory of Information”. This branch is divided in theory of coding and cryptology, which at the same time is divided in cryptanalysis and cryptography, that is about the laws of information coding. By having mathematical grounds, like statistics, number’s theory, algorithmic complexity theory and communication theory, it is simpler to understand the mathematical way that they intervene in the processes of encryption and decryption of a message by performing a study to visualize the moment when they are applied in a cryptosystem. Emphasizing the use of computer programs, it is possible to integrate two areas that have always been linked in technological advances. Finding the way that these mathematical foundations help to the efficiency and security of these systems, by adding programs such as Cryptool that favors the development of cryptography.