University of Guilan Journal of Algebra and Related Topics 2345-3931 7 1 2019 06 01 A new Gaussian Fibonacci matrices and its applications 65 72 3721 10.22124/jart.2019.12999.1144 EN B. Prasad Kandi Raj College, Kandi, India Journal Article 2019 04 13 In this paper, we introduced a new Gaussian Fibonacci matrix, $G^{n}$ whose elements are Gaussian Fibonacci numbers and we developed a new coding and decoding method followed from this Gaussian Fibonacci matrix, $G^{n}$. We established the relations between the code matrix elements, error detection and correction for this coding theory. Correction ability of this method is $93.33$\%. https://jart.guilan.ac.ir/article_3721_49da7f8b20ac8534782e530a53b0cea1.pdf