Enhancing Information Security and Cryptography Efficiency with the Kushare Transform

Authors

  • Aml A. Altirban Mathematics Department, University of Tripoli Tripoli, Libya
  • Nagah A. Elbhilil Mathematics Department, University of Tripoli Tripoli, Libya
  • Muna I. Bnis Mathematics Department, University of Tripoli Tripoli, Libya

DOI:

https://doi.org/10.37375/foej.v3i2.2827

Keywords:

Kushare transform, Laplace transform, Information Security, encrypt, decrypt

Abstract

The focus lies on ensuring the security and confidentiality of information, particularly in light of the threat posed by hackers who can gain unauthorized access to private data belonging to individuals and institutions. Therefore, it is imperative that information be encoded in a manner that conceals it effectively.

To address this issue, encryption emerges as a viable solution for safeguarding messages and shared online information. This research proposes the utilization of encryption and decryption techniques based on a mathematical model.

Specifically, the unary Kushare integral transform and the binary Laplace-Kushare transform are employed for encrypting plaintext, along with their corresponding inverse transforms for decryption. This approach serves as a means of fortifying information against intrusion, with practical applications in utilizing the aforementioned mathematical models for encryption and decryption processes.

References

P. L. Chitraand K. Sathya . (2018). A novel password encryption using wedgesalgorithm with QR code, International journal of pure and applied mathematics, Volume 119, 857-861.

G. Naga Lakshmi, Ravi Kumar B. and Chandra Sekhar A. (2011). A cryptographic scheme of Laplace transforms, International Journal of Mathematical Archive-2(12), 2515-2519.

Kumar P. Senthil, Vasuki S. (2018), An Application of Mahgoub Transform in Cryptography, Advances in Theoretical and Applied Mathematics, ISSN 0973-4554, Volume 13, Number 2, pp. 91-99.

Abdelilah K. Hassan Sedeeg, Mohand M. Abdelrahim Mahgoub, Muneer A. Saif Saeed, (2016). An Application of the New Integral “Aboodh Transform” in Cryptography, Int J Pure Appl Math, 5 (5), 151-154.

Uttam Dattu Kharde., (2017), An Application of the Elzaki Transform in Cryptography, Journal for Advanced Research in Applied Sciences, 4(5), pp. 86– 89.

MampiSaha, (2017) Application of Laplace – Mellin transform for Cryptography,”Rai journal of technology and innovation, Vol-5, Issue 1.

Koshy, T. (2007). Elsevier. Second edition. Elementary Number Theory with Applications, London, UK.

Schiff, J.L. The Laplace Transform, Theory and Applications; Springer: New York, NY, USA, 1999.

Kushare, S. R., Patil, D. P. and Takate, A. M. (2021). The new integral transform, “Kushare transform”. International Journal of Advances in Engineering and Management, 3(9),1589-1592.

Patil, D. P., Tile, G. K., and Mahajan, Y. C. (2023). Application of Kushare transform in Abel’s Integral Equations. International Journal of All Research Education and Scientific Methods, 11(1),1144-1152.

Bodkhe, D. S., Panchal, S. K. (2015). Use of Sumudu Transform in Cryptography, “Kushare transform”. Bulletin of the Marathwada Mathematical society, 16(2),1-6.

Hiwarekar, A. P. (2012). A new method of Cryptography using Laplace transform. International Journal of Mathematical Archive, 3(3),1193-1197.

Hiwarekar, A. P. (2015). Application of Laplace transform for Cryptography. International Journal of Engineering and Science, 5(4),129-135.

Hemant, K., Undegaonkar, R. N., and Ingale (2020). Role of Some Integral Transform in Cryptography. International Journal of Engineering and Advances Technology, 9(3),376-380.

Bhuvaneswari, K., Bhuvaneswari, R. (2020). Application of Tarig Transformation in Cryptography. International Journal of Creative Research Thoughts, 8(6), 1878-1880.

Srinivas, V., Jayanthi, C. H. (2020). Application of the New Integral J-Transform in Cryptography. International Journal of Emerging Technologies, 11(2), 678-682.

Published

2024-07-02

How to Cite

Aml A. Altirban, Nagah A. Elbhilil, & Muna I. Bnis. (2024). Enhancing Information Security and Cryptography Efficiency with the Kushare Transform. Faculty of Education Scientific Journal, 3(2), 94–81. https://doi.org/10.37375/foej.v3i2.2827