Use of Mathematical Concepts to Achieve High Levels of Security in Cryptography

Abstract

Encryption, the process by which plaintext (readable information) is transformed into ciphertext (meaningless symbols), was essentially equivalent with cryptography until the advent of modern computing (decryption). To prevent unauthorized access, a sender of an encrypted (coded) communication only reveals the decryption (decoding) method to the intended receivers. Changing the letter or number on the outer disk with the letter right beneath on the inner disk is all that's needed to encode a message. The proposed work creates a novel cryptographic technique where the key is the number of multiples of mod n using Laplace transforms. The Laplace transform has recently found a new use in the world of cryptography, which we describe here. In this research, By encrypting the plaintext using the Laplace transform of an appropriate function and decrypting it with its inverse, we provide a revolutionary iterative method to cryptography. Encryption is frequently employed by organizations and even governments to protect confidential information online. The techniques of cryptography owe a great deal to the contributions of mathematics.