A Study on Using the Golden Ratio in Unique Key Generation

With rapidly advancing technology and widespread internet, transfer security of the data has become more prominent. Encryption methods, one of the data protection tools, consist of more than one layer within themselves. One of these layers is the generation of unique keys. There are challenges in preventing key duplication and reducing predictability in unique key generation. Existing methods have difficulties in this regard and are constantly being sought for better ones. This study examines the use of the golden ratio by developing a new approach to produce unique keys. This method, which is based on Steinhaus’s mathematical experiments on the golden ratio and the theories he created, has successfully generated unique keys in the tests performed. The proposed method addresses an important problem in the field of cryptographic security and provides a solid foundation for future research in this field.