Super-Encryption with Pell-Lucas Matrices and Graphs via Laplace Transformations

Abstract

This research study suggests a novel encryption method called multiphase encryption. Multiphase encryption method encrypts the original data multiple times using various powerful encryption algorithms at each stage. Multiphase encryption method using graph theory properties of trees, Pell-Lucas Matrices and Vigenère cipher greatly increases the complexity of the encryption algorithm and another a new technique of super encryption using Laplace transformations through Fibonacci numbers by exploiting the properties of trees in graph theory via Beaufort cipher to encrypt the plain text which is more secure than the symmetric key cryptosystem as the plain text is encrypted in multi layers.