Homomorphic encryption method based on random weighted unitary matrix in outsourcing computation

The invention discloses a homomorphic encryption method based on a random weighted unitary matrix in outsourcing computation. The method is same as the basic unitary matrix, and has the fully homomorphic encryption characteristic and can be applied to the non-integer field computation, and has the honesty check characteristic of the full number field and better security. Compared with the classical cryptography scheme which can be only applied to the integer field, the method can be applied to any number field with operable matrix, the number field comprises real number and plural; compared with the existing same-type encryption method, the scheme not only has the fully-homomorphic feature, and can resist the statistical attacks (such as feature value attack, the matrix trace attack and like) on the invariance of the unitary matrix while not importing ill-condition number for the computation after the encryption by adopting the weighted unitary matrix, thereby providing real check characteristic. The method i