Gaussian Leonardo Polynomials and Applications of Leonardo Numbers to Coding Theory

Abstract

In this paper, we firstly introduce the Gaussian Leonardo polynomial sequences { GLe n (x)} n 0 and we obtain Binet's formula, generating function of this sequence. Moreover, we define the matrix Gl(x) in the form of 3 x 3. Finally, we study on the coding and decoding applications of the Leonardo number by using the Leonardo matrix P.