@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 = {2018}, 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 = {3080-180X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22464.html} }