TARU PUBLICATIONS
Journal of Discrete Mathematical Sciences and Cryptography cover
Hybrid ·Peer-reviewed·ISSN (Online): 2169-0065·ISSN (Print): 0972-0529

Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
submissions@tarupublications.com
Open Access Research Article

A new approach of cryptography using taylor series of logarithm function

* , ,

* Corresponding author · click or hover a name for details

pp. 1889–1895Vol. 26Issue 7October 2023DOI: 10.47974/JDMSC-1680 Crossmark XML
Received:
04 Oct 2022
Published Online:
30 Oct 2023
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-1680
Pages:
1889–1895

Abstract

This study investigated a novel cryptographic approach involving the encryption of plaintext using the coefficients of a Taylor series for the logarithm function multiplied by its corresponding index. The decryption process utilized the Laplace transform of the logarithm function and its inverse. Through this methodology, several innovative mathematical encryptions and decryption formulas were derived. The study also includes a practical example to demonstrate the broader implications of the findings.

Keywords

Subject Classifications

Primary 15A80Secondary 94A60

References

[1] G.A. Dhanorkar and A.P.Hiwarekar, “A generalized Hill cipher using matrix transformation”, International J. of Math. Sci. & Engg. Appls. Vol. 5, No. IV, pp 19-23 (July, 2011).
[2] A. P. Hiwarekar, “A new method of cryptography using Laplace transform”, International Journal of Mathematical, Archive 3(3), pp. 1193-1197 (2012).
[3] A. P. Hiwarekar, “A new Method of Cryptography using Laplace Transform of Hyperbolic Functions”, International Journal of Mathematical Archive-4(2), pp.208-213 (2013).
[4] M.Tuncay Gençoğlu, “Cryptanalysis A Cryptographic Scheme of Laplace Transforms”, Conference: ICPAM 2017.
[5] Jadhav Shaila Shivaji and  Hiwarekar A.P, “New Method for Cryptography using Laplace-Elzaki Transform”, Psychology and Education,  58(5), pp. 1-6 (2021).
[6] G.A. Dhanorkar and A.P.Hiwarekar, “A generalized Hill cipher using matrix transformation”, International J. of Math. Sci. & Engg. Appls. Vol. 5, No. IV, pp 19-23 (July, 2011).
[7] B. V. Ramana, “Higher Engineering Mathematics”, Tata McGraw-Hills (2007).
[8] Shubham Sharma & Ahmed J. Obaid. Mathematical modelling, analysis and design of fuzzy logic controller for the control of ventilation systems using MATLAB fuzzy logic toolbox, Journal of Interdisciplinary Mathematics, 23:4, 843-849 (2020), DOI: 10.1080/09720502.2020.1727611. 

Views: 404Downloads: 66Citations: 2