Design of Public-Key Algorithms Based on Partial Homomorphic Encryptions

With the rapid development of cloud computing, which has become a key aspect to maintain the security of user information that may be highly confidential and maintained during transport and storage process. The reliance on traditional algorithms that are used to encrypt data are not secure enough because we cannot process the data only after decrypt. In this article is proposed the use of homomorphic encryption to solve this problem because it can deal with encrypted data without the decryption, which can lead to ensuring confidentiality of the data. A number of public-key algorithms are explained, which is based on the concept of homomorphic encryption. In this article an algorithm is proposed based on HE and it is similar to Menesez-EC but with one digit as a secret key according to its advantage, whereby reducing the cost of communication, and storage and provides high processing speed when compared with other algorithms. This algorithm provides enough security for a bank's customer information and then compared with ECC, each of RSA and Piallier algorithms as evaluated.