@Article{JICS-13-056, author = {Monojit Das and Manjusri Basu}, title = {A New Coding Theory on Fibonacci n-Step Polynomials}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {13}, number = {1}, pages = {056--073}, abstract = {In this paper, we develop a new series of Fibonacci ?-step polynomials. Based on these series of polynomials, we introduce a new class of square matrix of order ?. Thereby, we define a new coding theory called Fibonacci ?-step polynomials coding theory. Then we calculate the generalized relations among the code elements for all values of ?. It is shown that, for ? = 2, the correct ability of this method is 93.33% whereas for n = 3, the correct ability of this method is 99.80%. The interesting part of this coding/decoding method is that the correct ability does not depend on ? and increases as ? increases. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22464.html} }