Securing information systems using fractal geometry

Abstract

This article deals with the use of the principles of fractal geometry applicable in the field of cryptographic security of communication within information systems. The theory of the proposed solution is based on the field of iterative fractals created using the TEA (Time Escape Algorithm) algorithm. The introductory part deals with the issue of choosing a suitable category of fractals for the purpose of securing information systems. The next part deals with the issue of generation, analysis of fractal structures, which is a prerequisite for the implementation of the proposed encryption process. The outputs from the performed fractal analysis are also used for the decryption process. The methodology of testing the proposed solution against cryptanalytic methods is described here. In the final part, the individual elements of the proposed process were implemented using a programmed interface in C #. It continues by testing the resistance of the given encryption method to cryptanalytic methods. Statistical methods, analytical methods, and brute force attacks were used to investigate resilience. The acquired knowledge proved the usability of the proposed solution for the selected area of its use.aim of this research is to design a suitable design for a diagnosticdevice that will periodically monitor and record selected quantities in the device. The diagnostic equipment must be as flexible as possible, as the design will be applicable to all output electronic equipment of this project. This means that the diagnostic design can be applied to all control units, add-on modules or turnstile controllers. Each checked element contains different quantities that are valid for correct diagnostics. Therefore, there is a desire for a uniform design that can be customized based on the device. The main benefit is finding a way to secure data against unwanted retrieval of its content. The involvement of the branch of fractal geometry in the field of information security opens up new possibilities, given the different conception of fractals, in contrast to the objects of classical Euclidean or other geometry. The proposed system works with complex fractal structures, which can be described by relatively trivial equations, which allows using this system with high speed both for encoding the message and for its retrospective reconstruction. This fact opens the way to the use of the proposed system for information security even in devices with limited computing capacity. The system emphasizes resistance to cryptanalytic methods, such as brute force attack, statistical methods, or analytical methods.