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

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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Publication Details

Journal
Punjab University Journal of Mathematics
Published
2025-06-20
DOI
https://doi.org/10.52280/pujm.2024.56(11)05
Primary Topic
Chaos-based Image/Signal Encryption
Type
article
Field-Weighted Citation Impact
0.00
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article

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

Rizky Kharisma N.E.P
Punjab University Journal of Mathematics
Chaos-based Image/Signal Encryption
article

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

Rizky Kharisma N.E.P
article en

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.

Punjab University Journal of Mathematics
Savitribai Phule Pune University (IN)
Openalex Percentile: Top 82%
Chaos-based Image/Signal Encryption
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