[2] G. Cerda-Morales, On generalized Fibonacci and Lucas numbers by matrix methods, Hacet. J. Math. Stat. 42 (2013), no. 2, 173–179.
[4] D.S. Dummit and R.M. Foote, Abstract Algebra, Wiley Hoboken, 2004.
[9] C.H. King, Some further properties of the Fibonacci numbers, Master’s thesis, San Jose State, San Jose, CA, 1960.
[10] T. Koshy, Fibonacci and Lucas Numbers with Applications, Volume 2, John Wiley & Sons, 2019.
[13] M. Kumari and J. Tanti, On the role of the Fibonacci matrix as key in modified ECC, arXiv preprint arXiv:2112.11013 (2021).
[16] E. Özkan and ˙I. Altun, Generalized Lucas polynomials and relationships between the Fibonacci polynomials and Lucas polynomials, Commun. Algebra 47 (2019), no. 10, 4020–4030.
https://doi.org/10.1080/00927872.2019.1576186
[18] K. Prasad and H. Mahato, On some new identities of Lucas numbers and generalization of Fibonacci trace sequences, Palest. J. Math. 12 (2023), no. 2, 329–340.
[19] K. Prasad, H. Mahato, and M. Kumari, Some properties of -circulant matrices with -balancing and -Lucas balancing numbers, Bol. Soc. Mat. Mex. 29 (2023), no. 2, Artical ID: 44.
https://doi.org/10.1007/s40590-023-00510-6
[20] W. Stallings, Cryptography and network security - principles and practice, 7th edition, Pearson Education India, 2017.
[22] D.R. Stinson, Cryptography: Theory and Practice, Chapman and Hall/CRC., New York, 2005.