GPH - International Journal of Mathematics

CRYPTOGRAPHIC ENCRYPTION BASED ON RAIL-FENCE PERMUTATION CIPHER

Sun, 26 Nov 2023 00:00:00 +0000

Cryptographic systems play a pivotal role in securing sensitive information in various domains. Permutation ciphers, a fundamental component of classical cryptography, involve the rearrangement of characters in a message to achieve confidentiality. This paper explores the principles and applications of permutation ciphers in cryptographic encryption. The study delves into the historical context, the underlying mechanisms of permutation ciphers, and their relevance in contemporary cryptographic practices. Using permutation on n symbols and Rail Fence Cipher, we construct an algorithm for encrypting and decrypting a message for n = 2, 3

NUMBER THEORY IN RSA ENCRYPTION SYSTEMS

Michael N. John, Ogoegbulem Ozioma, Obukohwo, Victor, Henry Etaroghene Egbogho — Sun, 26 Nov 2023 12:04:32 +0000

RSA encryption is a widely employed cryptographic system based on the principles of number theory. Number theory is the branch of pure mathematics that studies positive whole numbers, called natural numbers and integers. Number theory seeks to discover relationships existing between numbers. Cryptography is the study of encryption and decryption of information. By encrypting information, data can be transmitted to the intended recipient securely across the internet. In this paper, we propose an RSA encryption scheme based on number theory, showing its applications to cryptography.