New cryptosystem using linear combination of function and Sumudu transform with Python code

Abstract

In today’s digital world, information protection is essential for every individual, banking sector, e-commerce, etc., which can be done through cryptography. Cryptography protects the information in such a way that unauthorized users cannot understand it. This paper presents a new mathematical technique for cryptography using the Sumudu transform of two linear functions for encoding and the corresponding inverse transform for decoding. Starting with standard results on Sumudu transforms, we present our encryption-decryption method and obtain it in the form of new theorems. Further, the results are generalized and then we apply an iterative process for making our algorithm more secure. We also implemented this method using Python code and finally, we illustrate our results with suitable examples.