Encryption with Complex Variable and its Capabilities
Jiahong Sun · Theoretical and Natural Science · 2024
Cybersecurity is instrumental to the modern world. The most effective protection of data online is cryptography and encryption. There are two main types: symmetric and asymmetric. They employ important mathematical concepts to encode vital information. Nevertheless, the encryption field remains largely within the world of real numbers. This paper analyzes an encryption method presented by George Stergiopoulos et al. utilizing complex numbers and investigates its possible usage. The process involves investigating the necessary complex variable applications and a comparative scoring system which provides vital outlook on the promise of this new methodology. Subsequently, the investigation of the time complexity, security and encryption speeds provides a vital outlook on the practical uses in society. The results are promising feasibility of this new algorithm and the encouragement of further investigation into complex variable applications that encrypt with a more substantial range than any operation in the real numbers. Thus, the explicit novel insightful comparison of both symmetric and asymmetric encryption systems to the proposed complex encryption shows vital promise and further interest in investigation into this field as it opens the possibilities to an infinite array of novel complex operations that were previously inaccessible due to the restraint of real numbers.