A cryptographic technique applying Laplace Transform and Exponetial Function

Mohib Rasool, Kala Raja Mohan

Abstract


Secured Information transformation from one person to another is very much essential in this world of internet. In electronic communications such as system security, smart card, mobile communications etc, the data are stored in the various applications used in them. While using all the applications, we give permission to access all the information. Cryptography is based on transformation of multiple rounds of transformation of messages in the form of plain text as input into encrypted text message. Through suitable mathematical technique, secrecy of the information is maintained. This paper proposes a Laplace and its inverse transform technique with a suitable function for encryption and decryption of a message.

Keywords


Cryptography, hyperbolic sine function, Laplace Transform

Full Text:

PDF

References


A. P. Hiwarekar, “New mathematical modeling for cryptography,” Journal of Information Assurance and Security, 9, 027-033 (2014).

M. Tuncay Gencoglu, “Cryptanalaysis of a New Method of Cryptography using Laplace Transform Hyperbolic Functions.” Communications in Mathematics and Applications, 8, 183-189 (2017).

A. P. Hiwarekar, “A new method of Cryptography ussing Laplace transform of Hyperbolic functions,” International Journal of Mathematical Archive, 4, 208-213 (2013).

Dr. K. Hemant K. Undegaonkar, “Security in Communication By Using Laplace Transform and Cryptography,” International Journal of Scientific & Technology Research, 8, 3207-3209 (2019).

S. Sujatha, “Application of Laplace Transforms in Cryptography,” International Journal of Mathematical Archive, 4, 67-71 (2013).

C. H. Jayanthi and V. Srinivas, “Mathematical Modelling for Cryptography using Laplace Transform,” International Journal of Mathematics Trends and Technology, 65, 10-15 (2019).

G. Nagalakshmi, A. Chandra Sekhar and D. Ravi Sankar, “Asymmetric key Cryptography using Laplace Transform,” International Journal of Innovative Technology and Exploring Engineering, 9, 3083-3087 (2020).

S. Dhingra, A. A. Savalgi and S. Jain, “Laplace Transformation based Cryptographic Technique in Network Security,” International Journal of Computer Applications, 136, 6-10 (2016).

M. Saha, “Application of Laplace – Mellin Transform for Cryptography,” Raj Journal of Technology Research & Innovation, 5, 12-17 (2017).

A. K. H. Sedeeg, M. M. Abdelrahim Mahgoub, and M. A. Saif Saeed, “An Application of the New Integral “Aboodh Transform” in Cryptography,” Pure and Applied Mathematics Journal, 5, 151-154 (2016).

Kala Raja Mohan, Suresh Rasappan, Regan Murugesan, Sathish Kumar Kumaravel and Ahamed A. Elngar, “Secret Information Sharing Using Probability and Bilinear Transformation”, Proceedings of 2nd International Conference on Mathematical Modeling and Computational Science, 115-122 (2022).

A. Meenakshi, J. Senbagamalar, and A. Neel Armstrong, “Encryption on Graph Networks”, Proceedings of 2nd International Conference on Mathematical Modeling and Computational Science, 123-130 (2022).

Kala Raja Mohan, Suresh Rasappan and Sathish Kumar Kumaravel, “Secret Information sharing Using Laplace Transform and Hyperbolic Tangent Function”, AIP Conference Proceedings 2516, 12003, 1-6, (2022).




DOI: http://dx.doi.org/10.21533/scjournal.v12i2.275

Refbacks

  • There are currently no refbacks.


Copyright (c) 2023 Mohib Rasool, Kala Raja Mohan

ISSN 2233 -1859

Digital Object Identifier DOI: 10.21533/scjournal

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License