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Due to the ever expansion of technology and the development of the world wide web over the recent decades we have access to a large amount of resources and can share information with different people regardless of the distance that separates us. These advancements have different consequences such as the transmission of information in a correct way, the security that must be assured in this type of transmissions and the speed with which they are transferred. It is here that cryptography plays an important role in everyday life, allowing communication to interact to its fullest with the surrounding environment without fearing from outsiders’ attacks thanks to the security provided by encrypting plain messages. Cryptography is the technique that protects documents and data. It uses numbers and codes to write secret information in documents and confidential data that need to circulate in the network. To this date, there are different cryptographic techniques, such as RSA, quantum, asymmetric; they have are all in advanced research and development stages. This paper aims to discuss the advantages and disadvantages of using these new types of mathematical methods underlying in computer security and generating a computational model based on a mathematical model, ensuring a high level of security, complexity, ease of implementation and more.

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