Homomorphic Encryption Scheme of the Rational

The existing homomorphic encryption scheme is based on ring of the integer, and the possible operators are restricted to addition and multiplication only. In this paper, a new operation is defined - similar modul. Base on the similar modul, the number sets of the homomorphic encryption scheme is extended to rational, and the possible operators are extended to addition, subtraction, multiplication and division. Our new approach provides a practical ways of implementation because of the extension of the operators and the number sets