Homomorphic encryption systems statement: Trends and challenges

Abstract For securing our own systems, encryption got the major interest, especially when talking about homomorphic encryption, which has spread like wildfire. Therefore, in this study, we will be presenting different known cryptosystems based, in a great part of its construction, on the homomorphic encryption, all joined with other techniques to enhance the cryptosystem performance and the privacy ratio. In addition, the homomorphic encryption has the feature to be highly adequate with any field it is used in, giving numerous advantages and a tremendous performance. Hence, the following survey presents different domains using homomorphic encryption and a final comparison between the adopted techniques.