img
img
img
img
img
Home / all-journals/ /Article

An Execution of a Mathematical Example Using Euler’s Phi-Function in Hill Chiper Cryptosystem


Mohiuddin Ahmed1* and Md. Ashik Iqbal1


1Faculty Member in Mathematics, Department of Computer Science and Engineering, North Western University (NWU), Khulna, Bangladesh. 

*Correspondence: mohiuddina6@gmail.com (Mohiuddin Ahmed, Faculty Member in Mathematics, Department of Computer Science and Engineering, NWU, Khulna, Bangladesh). 

§ Presented at the International Conference on Applied Science Mathematics and Statistics (ICASMS - 2020), 25-26 November 2020, organized by SciencePlus Global Research Forum.

Powered by Froala Editor


ABSTRACT

In this article, we have explained the RSA public-key cryptosystem initiate by Rivest and Hill Chiper cryptosystem initiate by Lester. Hill for coding and decoding the text. To explain these we apply the Euler-phi function, congruence, and simple Matrix Application in cryptography to decode and encode the message. In our analyses, we have collaborated two cryptosystems which is more assured than standard cryptographic process such as Ceaser cipher. We apply both secret-key cryptography and public-key cryptography which differ from standard cryptography. In our presentation, we use two keys for coding and two for decoding. 


Keyword: Cryptography, Congruence, Euler’s phi function, Hill Chiper, RSA cryptosystem, and Matrix.


Citation: Ahmed M, and Iqbal MA. (2020). An execution of a mathematical example using Euler’s Phi-function in Hill Chiper cryptosystem, Int. J. Mat. Math. Sci., 2(6), 99-103. https://doi.org/10.34104/ijmms.020.0990103


Powered by Froala Editor