Keywords:-
Article Content:-
Abstract
Now - a- days, the exchange of sensitive information, such as credit card numbers, over the internet is common practice. Protecting data and electronic systems is crucial to our way of living. Cryptography deals with the study of communication over a channel may not be secure and problems related with them. One such well known algorithm is RSA algorithm. This paper displays the classical RSA algorithm and modifies the work in generation of keys. There will be two assignments for the alphabets. Here the only interest is on messages with two letters.
References:-
References
Elkamchouchi, H., Elshenawy, K., &Shaban, H. 2002, Extended RSA cryptosystem and digital signature schemes in the domain of Gaussian integers. In The 8th International Conference on Communication Systems, 2002, 91-95.
El-Kassar, A. N., Haraty, R. A., Awad, Y. A., & Debnath, N. C. 2005, Modified RSA in the Domains of Gaussian Integers and Polynomials Over Finite Fields. In CAINE 298-303.
Manju Somanath, J. Kannan and K. Raja, 2017 “On a Class of Solutions for a Diophantine Equation of Second Degree”, International Journal of Pure and Applied Mathematics, 117(12), 55 – 62.
Manju Somanath and J. Kannan, 2016 “Congruum Problem”, International Journal of Pure and Applied Mathematical Sciences (IJPAMS), 9(2), 123-131.
Manju Somanath, K. Raja, J. Kannan and M. Mahalakshmi, “On A Class of Solutions for A Quadratic Diophantine Equation”, Advances and Applications in Mathematical Sciences, 19(11), 1097 – 1103.
Manju Somanath, J. Kannan and K. Raja, 2016 “Lattice Points of an Infinite Cone〖 x〗^2+y^2=(α^2n+β^2n ) z^2”, International Journal of Mathematical Trends and Technology, 38(2), 95 - 98. 7) Manju Somanath, K. Raja, J. Kannan and V. Sangeetha, “On the Gaussian Integer Solutions for an Elliptic Diophantine Equation”, Advances and Applications in Mathematical Sciences, 20(5), 2021, 815 – 822.
Manju Somanath, K. Raja, J. Kannan and B. Jeyashree, “Non Trivial Integral Solutions of Ternary Quadratic Diophantine Equation”, Advances and Applications in Mathematical Sciences, 19(11), 2020, 1105 – 1112.
Manju Somanath, J. Kannan and K. Raja, 2017 “On Polynomial Solutions of Quadratic Equation”, International Journal of Mathematics and its Applications (IJMAA), 5(4 – F), 839 – 844.
Pradhan, S., & Sharma, B. K. 2014, A modified variant of RSA algorithm for Gaussian integers. In Proceedings of the Second International Conference on Soft Computing for Problem Solving (SocProS 2012), December 28-30, 2012 (pp. 183-187). Springer, New Delhi.
Trappe, W., & Washington, L. C. 2006, Introduction to Cryptography. Prentice Hall.