A type of public cryptosystem using polynomials and Pell sequences. (English) Zbl 1506.94020
References:
| [1] | Buchman, Introduction to cryptography, Springer-verlag |
| [2] | Koblitz, Neal “A course in number theory and cryptography” IBSN 3-578071-8 SPIN 10893308. · Zbl 0819.11001 |
| [3] | Rosen, K. H., Elementary number theory and its applications, Addson Wesly · Zbl 0964.11002 |
| [4] | Basin, S. L., Generalized Fibonacci Sequences and Squared Rectangles, The American Mathematical Monthly, 70, 4, 372-379 (1963) · Zbl 0118.27902 · doi:10.1080/00029890.1963.11987595 |
| [5] | Abdullah, K. (2010). Comparison between the RSA cryptosystem and elliptic curve cryptography (Thesis, Master of Science (MSc)). The University of Waikato, Hamilton, New Zealand. |
| [6] | Piper, Fred; Murthy, Sean, Cryptography: A very short introduction, E.H.Lock Wood, Math, Gazette, 51, 243-244 (1967) · doi:10.2307/3613247 |
| [7] | Koshy, T., Fibonacci and Lucas and Pell numbers and pascal’s triangle with Applications (2001), John Wiley: John Wiley, New York · Zbl 0984.11010 |
| [8] | Zhao, Feng-Zhen; Wang, Tianming, The values of a class of series involving generalized Fibonacci and Lucas numbers, International Journal of Mathematical Education in Science and Technology (2005) |
| [9] | ChandraSekhar, A.; ChayaKumari, D.; Pragathi, Ch.; Ashok Kumar, S., Multiple Encryptions of Fibonacci Lucas transformations, International Organization of Scientific Research (IOST), 12, 2, 66-72 (2016) |
| [10] | Dr. Chayakumari, D.; Dr. Ashok Kumar, S.; Triveni, D., super-encryption method of laplace transformations using fibonacci numbers, Journal of Huazhong University of Science and Technology, 50, 7 |
| [11] | Sekhar, A. Chandra, Linearly independent spanning sets and linear transformations for Multi-level Encryption, Journal of Information and Optimization Sciences, 36, 4, 385-392 (2015) · doi:10.1080/02522667.2014.961821 |
| [12] | Mittal, Gaurav; Kumar, Sunil; Narain, Shiv; Kumar, Sandeep, Group ring based public key cryptosystems, Journal of Discrete Mathematical Sciences and Cryptography (2021) · Zbl 1498.94076 |
| [13] | Dasdemir, Ahmet., On the Pell, Pell-Lucas and modified Pell numbers by matrix method, Applied Mathematical Sciences, 5.64, 3173-3181 (2011) · Zbl 1244.11015 |
| [14] | Horadam, A. F., Applications of modified Pell numbers to representations, Ulam Quarterly, 3.1, 34-53 (1994) · Zbl 0874.11023 |
| [15] | Çelik, Songül; Durukan, İnan; Özkan, Engin, New recurrences on Pell numbers, Pell-Lucas numbers, Jacobsthal numbers, and Jacobsthal-Lucas numbers, Chaos, Solitons & Fractals, 150, 111173 (2021) · Zbl 1489.11025 · doi:10.1016/j.chaos.2021.111173 |
| [16] | Yagmur, Tulay; Karaaslan, Nusret, Gaussian modified Pell sequence and Gaussian modified Pell polynomial sequence, Aksaray University Journal of Science and Engineering, 2.1, 63-72 (2018) |
| [17] | Horadam, A. F.; Mahon, J. M., Pell and pell-lucas polynomials, Fibonacci Quart, 23.1, 7-20 (1985) · Zbl 0557.10011 |
| [18] | Karaaslan, Nusret., A note on modified Pell polynomials, Aksaray University Journal of Science and Engineering, 3.1, 1-7 (2019) |
| [19] | Halici, Serpil., On the Pell polynomials, Sci, 5.37, 1833-1838 (2011) · Zbl 1258.11023 |
| [20] | Aziz, Semaa Hassan; Shihab, Suha; Rasheed, Mohammed, On Some Properties of Pell Polynomials, Al-Qadisiyah Journal of Pure Science, 26.1, 39-54 (2021) |
| [21] | Kızılateş, Can; Kirlak, Selihan, A new generalization of Fibonacci and Lucas type sedenions, Journal of Discrete Mathematical Sciences and Cryptography (2022) |
| [22] | Ramakrishna, Mathe; Atukuri, V.; Devireddy, Srinivasa Kumar, Securing information: cryptography and steganography, International Journal of Computer Science and Information Technologies, 3.3, 4251-4255 (2012) |
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