@article { author = {Prasad, B.}, title = {A new Gaussian Fibonacci matrices and its applications}, journal = {Journal of Algebra and Related Topics}, volume = {7}, number = {1}, pages = {65-72}, year = {2019}, publisher = {University of Guilan}, issn = {2345-3931}, eissn = {2382-9877}, doi = {10.22124/jart.2019.12999.1144}, abstract = {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 $93.33$\%.}, keywords = {Gaussian Fibonacci numbers,Fibonacci numbers,Golden mean}, url = {https://jart.guilan.ac.ir/article_3721.html}, eprint = {https://jart.guilan.ac.ir/article_3721_49da7f8b20ac8534782e530a53b0cea1.pdf} }