The Knapsack Cryptography with Bell Number using Python Programming

Abstract

The cryptology is consisted of Kryptos ( hidden) and logos (word) terms in the Greek. It also means that “secrecy science” at thecommunication. In the present days, the expansion of the electronic comminucation network has more increased the importance ofcryptology. In this work, we have focused on Knapsack cryptosystem. In this purpose, the Bell numbers in the form of ‘super- increasingsequence’, which constitute the hypotenuse of the Bell triangle, are generated in the Python programming. The Knapsack encryptionand decryption of these numbers are modeled using the Python program. As an example, “ULUDAG UNIVERSITY” was considered,a 12-bit encryption was performed. It was observed that the Bell numbers are suitable for Knapsack encryption.