Using Cardano's method for solving cubic equation in the cryptosystem to protect data security against Cyber attack

Abstract

With the development taking place these days in information technology and protecting data security of data transmitted over the internet, there is an urgent and necessary need in order to protect data from falling into the hands of unauthorized persons. The difficulty of breaking the cipher text representing by using multiple keys instead of one key in the process of encryption and decryption, so it found that the mathematics represent a basic in many sciences because of the wide using for the concepts of the equations and functions, so one of the important using of the mathematics is in the cryptography science because all the cryptosystems in the world dells with the arithmetic operations, in this paper a new cryptosystem presented through using the 3ed order equation (cubic equation) for one variables and using Cardano's method for solving cubic equation, in order to add more security and complexity to the proposed cryptosystem since there is four different symmetric keys and changeable formula of the equation, many cryptanalysis applied on the proposed cryptosystem to ensure the validity and secrecy of the proposed algorithm, all results show the strength of the cryptosystem against the attacks as shown in the result section.