Generalized k–step Jacobsthal numbers coding and decoding method
*Arun Kumar YadavCorresponding authorarun.math.rs@igu.ac.inDepartment of Mathematics Indira Gandhi University School of Basic and Applied Sciences K. R. Mangalam University Sohna RoadGurugram, Haryana, 122103, IndiaView full profile → , Manju Pruthimanju.pruthi@yahoo.comDepartment of Mathematics Indira Gandhi University Department of Mathematics Indira Gandhi University MeerpurRewari, Haryana, 123401, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 10 Aug 2022
- Accepted:
- 06 Dec 2022
- Published Online:
- 30 Sep 2023
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-1726
- Pages:
- 1773–1799
Abstract
Keywords
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References
[1] Al-Kateeb A., Generalization of Jacobsathal and Jacobsathal Lucas Number (2020). https://www.researchgate.net/publication/336086490.
[2] Basu, M., Prasad B., Coding theory on the m-extension of the Fibonacci p-numbers, Chaos, Solutions, and Fractals 42, 2522-2530, (2009).
[3] Basu, M., Das, M., Coding theory on Fibonacci n-step numbers, Discrete Mathematics, Algorithms and Application, Vol. 6, No. 2, 1450017 (2014).
[4] Basu, M., Das, M., Coding theory on generalized Fibonacci n-step polynomials, Journal of Information and Optimization Sciences, Vol. 38, No.1, 83-13 (2017).
[5] Esmaeili M., Esmaeili M., A Fibonacci-polynomial based coding method with error detection and correction, Computers & Mathematics with Applications, Vol. 60, Issue 10, 2738-2752, (2010).
[6] F. Qi, “Determinantal expressions and recurrence relations for Fubini and Eulerian polynomials,” J. Interdiscip. Math., vol. 22, no. 3, pp. 317–335 (2019), doi: 10.1080/09720502.2019.1624063.
[7] Sundarayya P., Vara Prasad. M.G., Coding theory on Pell-Lucas p numbers, IOP Conf. Series: Journal of Physics: conf. series 1344 (2019).
[8] Stakhov A., Massingue V., Sluchenkova A., “Introduction into Fibonacci Coding and Cryptography, (1999).
[9] Tas N., Ucar S., Ozgur N.: Pell Coding and Pell Decoding Methods with Some Applications, Contributions of Discrete Mathematics, Vol. 15, No. 1, 52–66 (2020).
[10] Tas N., Ucar S., Ozgur Y.,Kaymak O., A new coding/decoding algorithm using Fibonacci numbers, Discrete Mathematics Algorithms and Applications, (2017).
[11] Ucar S., Tas N., Ozgur N. Y., A new cryptography model via Fibonacci and Lucas numbers, Mathematical Sciences and Applications E-Notes, (2019). Doi: 10.36753/mathenot.559251.
[12] Yilmaz F., Bozkurt D., The generalized order –k Jacobsthal numbers, Int. J. Comtemp. Math and Sciences, vol. 4, no. 34, 1685-1694 (2009).
