New Cryptosystem Using Sumudu Transform, Combination of Three Functions with Simulation and Python Code

Authors

  • Raut P. P. Department of Humanities and Applied Sciences, Shree L. R. Tiwari College of Engineering, Mira Road, Thane [M.S.], India. Research Center: S.P. College Pune. (Savitribai Phule Pune University)
  • Hiwarekar A. P. Department of General Science (Mathematics) Vidya Pratishthan’s Kamalnayan Bajaj, Institute of Engineering and Technology, Baramati, Pune [M.S.], India. (Savitribai Phule Pune University)

Keywords:

Cryptography, Sumudu Transform, Encryption, Decryption, Information Security

Abstract

In today’s world, information security is the most important component of our lives. Cryptography is among the best techniques designed to safeguard data security and message transmission. This paper presents a new method using successive combinations of the Sumudu transform of three functions for encoding and the inverse Sumudu transform for decoding. Starting with standard results on Sumudu transforms, we present our encryption method and obtain it as new theorems. Further, we generalized our method for the more secure algorithm. Finally, we used Python code to implement this strategy with simulation, our conclusions are based on the statistical analysis.

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Published

2025-07-20

Issue

Section

Articles

How to Cite

New Cryptosystem Using Sumudu Transform, Combination of Three Functions with Simulation and Python Code. (2025). Punjab University Journal of Mathematics, 56(11), 770-780. https://pujm.pu.edu.pk/index.php/pujm/article/view/538