Encryption Decryption Algorithm Using Solutions of Pell Equation
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Keywords:
Pell equation, Encryption-decryption algorithm, $Q^{3*}$ matrix, CryptographyAbstract
Cryptography is a concept of protecting information and conversations which are transmitted through a public source, so that the intended persons only read and process it. There are several encryption and decryption algorithm which involves mathematical concepts to provide more security to the text which has to be shared through a medium. In this paper, the algorithm is written on the basis of the Pell equation $x^2-3y^2=1$ whose solutions are given by the recurrence relations from which the matrix $Q^{3*}$ is defined. The central theme is to convert the taken message into a matrix of even size which is later divided into blocks.
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