Study On Integer Homomorphic Encyption Algorithm In Cloud Environment

In recent years,cloud computing technology and its applications have achieved rapid development.However,with the security incidents of multiple cloud platforms,people realize that cloud computing centers are more vulnerable to hackers and that it is difficult to measure the damage and losses to users.The issue of cloud security has become a hot topic from both domestic and overseas.Fully homomorphic encryption not only has the properties of data encryption of traditional encryption algorithms,but also has the ciphertext operation result and the decryption is equivalent to the operation of the corresponding plaintext.This unique property makes it possible to perform computations,sorting,and retrieval of all homomorphic encrypted ciphertexts to meet the security requirements in the cloud environment.In this paper,we take the data security in cloud environment as the research object.Starting from the integer homomorphic encryption scheme DGHV,and come up with the application of the integer homomorphic encryption algorithm in the cloud computing environment to solve some simple problems in cloud environment.The paper mainly carried out the following research works:(1)The DGHV scheme can only encrypt 1 bit of plaintext once,which is inefficient.So we propose a DGHV-based homomorphic encryption scheme over the integers,which expands the plaintext domain so that each encryption operation can encrypt a larger value and improve the encryption efficiency.The security of this solution still depends on theError-free approximate GCD problem,which can solve some practical security problems in the cloud environment.(2)We design and implement a fully homomorphic encryption scheme on the matrix by means of matrix tensor multiplication.The scheme adopts KP method to construct the integer full homomorphic encryption scheme on the matrix,and realizes the parallelization of the encryption process.While guaranteeing security,it can give full play to the computing power of the distributed system in the cloud environment.This paper proposes an improved integer homomorphic encryption scheme based on the DGHV scheme and a full homomorphic encryption scheme on the matrix.It mainly addresses the data security requirements in the cloud and provides a reference for the data security encryption in the cloud environment.The research results are valuable for both academic and application.