Cryptographic algorithm involving the matrix $Q^{p*}$
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
Cryptography is one of the most essential developing areas, which deals with the secure transfer of messages. In recent days, there are more number of algorithms have been evolved to provide better security. This work is also such an attempt. In this paper, an algorithm is presented for encryption and decryption which employs the matrix $Q^{p*}$ and the well- known equation $x^2 -py^2 =1$ where $p$ is a prime.
Abstract
Cryptography is one of the most essential developing areas, which deals with the secure transfer of messages. In recent days, there are more number of algorithms have been evolved to provide better security. This work is also such an attempt. In this paper, an algorithm is presented for encryption and decryption which employs the matrix $Q^{p*}$ and the well- known equation $x^2 -py^2 =1$ where $p$ is a prime.
참고문헌 (10)
- Andreescu, T., "An Introduction to Diophantine Equations a Problem-Based Approach" (2010), Birkhauser
- Gould, H. W, "A history of the Fibonacci Q-matrix and a higher-dimensional problem", Fibonacci Quart, 19(3), pp.250~257 (1981)
- J. Kannan, "Remodeled RSA Algorithm for Messages of Length Two Employing G- Primes", International Journal of Mathematics and Computer Research, 10(2), pp.2555~2558 (2022)
- J. Kannan, "Encryption Decryption Algorithm Using Solutions of Pell Equation", International Journal of Mathematics and its Applications, 10(1), pp.1~8 (2022)
- M. Mahalakshmi, "Cryptographic Algorithm Based on Prime Assignment", International Journal for Research in Applied Science and Engineering Technology, 10(1), pp.1744~1751 (2022), International Journal for Research in Applied Science and Engineering Technology (IJRASET)[DOI]
- Manju Somanath, "On a Class of Solutions for a Quadratic Diophantine Equation", Advances and Applications in Mathematical Sciences, 19(11), pp.1097~1103 (2020)
- Sumeyra, U. C. A. R., "A new application to coding theory via Fibonacci and Lucas numbers", Mathematical Sciences and Applications E-Notes, 7(1), pp.62~70 (2019)
- Tas, N., "A new coding", decoding algorithm using Fibonacci numbers, 2018, pp.10(02), 1850028~
- Tekcan, A, "Continued fractions expansion of√D and Pell equation x 2 − Dy2 = 1", Mathematica Moravica, 15(2), pp.19~27 (2011)
- Trappe, W., "Introduction to Cryptography" (2006), Prentice Hall