Symmetric fully-homomorphic encryption method based on plaintext similarity matrix

Abstract

The invention provides a symmetric fully-homomorphic encryption method based on a plaintext similarity matrix. The symmetric fully-homomorphic encryption method aims to solve the technical problem of low efficiency of symmetric fully-homomorphic encryption at present, and is implemented by the steps that: a user generates two big prime numbers with the same length according to a requirement, constructs a residue class ring according to the generated big prime numbers, constructing a general linear group according to the residue class ring, calculates a homomorphic calculation public key and a symmetric secret key, encrypting a similarity matrix of plaintext matrixes by using the symmetric secret key, and decrypting ciphertext matrixes by using the symmetric secret key; a cloud server uses the homomorphic calculation public key for conducting homomorphic calculation on the ciphertext matrixes; and the user uses the symmetric secret key for decrypting a homomorphic ciphertext matrix. The symmetric fully-homomorphic encryption method is simple in the secret key selection and encryption process, hides the plaintext matrixes randomly, improves the safety of an encryption algorithm, does not introduce noise in the ciphertext calculation process, can conduct arbitrary calculation on the ciphertext matrixes according to needs, and can be applied to full-course encryption state protection of important data in cloud computing, big data environments and the like.

Description

technical field [0001] The invention belongs to the field of information security, and relates to a symmetrical fully homomorphic encryption method, in particular to a symmetrical fully homomorphic encryption method based on a plaintext similarity matrix, which can be applied to the whole process encryption of important data in cloud computing, big data environments, etc. State protection, complete the calculation of plaintext data without decrypting the ciphertext data. Background technique [0002] With the development of the Internet, especially the birth of the concept of cloud computing, people's demand for encrypted data search and processing is increasing day by day. But for the processing of big data, the user must entrust a third party (cloud) to operate; the data stored by the user in the cloud may contain some sensitive information, so the data must be encrypted and protected before storing the data in the cloud; however, Once the plaintext data is encrypted, the...

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Problems solved by technology

[0006] The purpose of the present invention is to address the defects of the above-mentioned prior art, and propose a symmetric fully homomorphic encryption method based on plaintext similarity matrix, which is used to solve the technical problem of low efficiency of existing symmetric fully homomorphic encryption

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