A research paper by Professor Dr. Alaa Kadhem Farhan from the Computer Science Department at the University of Technology was accepted in the Third International Conference on Engineering Technology and its Applications under the sponsorship of IEEE, which is being held by the Islamic University in Najaf for the period (23-24) / August / 2020. The research is titled "A new mutual fund relying on chaos theory to encode images". The research aims to design a new s-box, which in turn depends on chaos theories. The fact that this box has the power of nonlinearity and it is very difficult to break it or find a numerical analysis for it. Therefore, if the power in forming confusion would break the interconnection between the participants. And that it was used inside the color coding, which diverged close color values, and the results of the coding were good and resisted most of the methods of breaking and recovering the original image.