Some New Fibonacci Matrices and Error Detecting-Correcting Codes
| dc.authorid | https://orcid.org/0000-0001-6197-4958 | |
| dc.contributor.author | Kürüz, Ferhat | |
| dc.date.accessioned | 2025-07-10T12:39:44Z | |
| dc.date.available | 2025-07-10T12:39:44Z | |
| dc.date.issued | 2025 | |
| dc.department | Mühendislik ve Mimarlık Fakültesi | |
| dc.description.abstract | The rapid and accurate transfer of information is essential in today’s digital world, where error detecting and correcting codes play a crucial role. In this context, Fibonacci numbers have been extensively applied in coding theory, particularly in coding structures based on Fibonacci polynomials and symmetric matrices. This study proposes a novel coding framework by defining and using some new Fibonacci matrices with their determinants. The properties of these matrices are analyzed to construct efficient coding and error correction mechanisms. The proposed structure enables the transmission of larger data volumes in a single iteration without compromising the error correction performance, demonstrating the potential of Fibonacci matrices for reliable and efficient information transfer. | |
| dc.identifier.citation | Kürüz, F. Some New Fibonacci Matrices and Error Detecting-Correcting Codes. Symmetry 2025, 17, 333. https:// doi.org/10.3390/sym17030333 | |
| dc.identifier.doi | 10.3390/sym17030333 | |
| dc.identifier.issn | 2073-8994 | |
| dc.identifier.issue | 3 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.uri | https://hdl.handle.net/11363/10083 | |
| dc.identifier.volume | 17 | |
| dc.indekslendigikaynak | Scopus | |
| dc.institutionauthor | Kürüz, Ferhat | |
| dc.institutionauthorid | https://orcid.org/0000-0001-6197-4958 | |
| dc.language.iso | en | |
| dc.publisher | Multidisciplinary Digital Publishing Institute (MDPI) | |
| dc.relation.ispartof | Symmetry | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | coding theory | |
| dc.subject | error detecting and correcting codes | |
| dc.subject | Fibonacci matrices | |
| dc.subject | determinants | |
| dc.title | Some New Fibonacci Matrices and Error Detecting-Correcting Codes | |
| dc.type | Article |
