Key generation and security analysis of text cryptography using cubic power of Pell's equation

K. R. Raghunandan, Rashmitha Shetty, Ganesh Aithal · 2017

Security is major aspect when information is shared in a communication era. To keep the information secure various algorithm are proposed in public key cryptography. In this paper we are introducing new way of approach which overcomes the drawback of RSA in terms of integer factorization method and Wiener's attack which calculates the decryption key. The key generation process of cubic power of Pell's equation is different from traditional RSA method. The public key “K” is dependent on alpha, prime numbers and variables of Pell's equation. It is difficult to obtain the private key using public key exponent “K”. The paper aims to satisfy efficient, secure and reliable comparing with RSA by proving various attacks and histogram analysis.

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