New Method of Cryptography Using Laplace and Sumudu Transforms With Python Code

• Published in: IAENG international journal of applied mathematics Vol. 55; no. 5; pp. 1316 - 1324
• Main Authors: Priti, P Raut, Anil, P Hiwarekar
• Format: Journal Article
• Language: English
• Published: Hong Kong International Association of Engineers 01.05.2025
• Subjects: Applied mathematics; Computer systems; Cryptography; Decoding; Encryption; Laplace transforms; Python; Transformations (mathematics)
• ISSN: 1992-9978; 1992-9986

Due to the increase in computer networks and the vast use of the internet, individuals and organizations need to secure their data. Cryptography ensures confidence through encryption-decryption techniques via mathematics. This paper presents a new method using the successive application of the Laplace-Sumudu transform combining two functions for encoding and the corresponding inverse transform for decoding. Starting with the standard results on Laplace and Sumudu transforms, we introduce our encryption technique and derive it as new theorems. Further, it is generalized and we used a stepby-step iterative technique to increase the level of security of the algorithm. We used Python code to implement this method with examples. We also illustrate our method for Marathi language words and successfully applied it for encrypting paragraphs. Finally, we compared our method with existing cryptosystems for the advancements.