Research On Fully Homomorphic Encryption Algorithm In Cloud Computing

The development of cloud computing has entered the second decade,still maintaining rapid growth,bringing great changes to people's lives,and also having a profound impact on the transformation of traditional industries.But what comes with it is the growing security of cloud computing and the greater challenge to security management.In recent years,major cloud security major security incidents are still occurring frequently,and cloud computing data security issues have become increasingly prominent.With the increase of cloud computing application scenarios,implementing data processing on the basis of ensuring data confidentiality has always been a problem faced by cloud computing.In order to ensure the security of its own data,the user can not provide the plaintext,but the encrypted data to the cloud service provider,but in the process,the content of the ciphertext cannot be operated or processed,otherwise it will lead to decryption error..The role of the cloud is just memory,and a lot of computing power is wasted.If homomorphic encryption is used,the processing of ciphertext is equivalent to the processing of plaintext.After decryption,the plaintext will still be obtained.The computing power of the cloud can be well utilized,and the data security problem in cloud computing will be greatly solved..The integer homomorphic encryption scheme has the advantages of simple calculation and easy understanding of the concept.Therefore,based on the classic DGHV scheme,this paper is difficult to manage a large number of keys that are encountered in the cloud computing environment.Conduct research and optimization.The main research contents of this paper are as follows:(1)For the problem that the size of the public key in the algorithm is too large,the DGHV scheme is improved,and a homomorphic encryption scheme for processing n-bit plaintext is given,and the correctness and homomorphism are proved.After that,there are many encryption parties for homomorphic encryption in cloud computing.A single decryption party needs to save a large number of keys,and it is not convenient for centralized auditing.Based on this,the number of encryption parties is extended and the number of encryption parties is extended.The "multi-toone" fully homomorphic encryption scheme that processes n-bit plaintext at a time and can decrypt multiple encrypted party information using one key further improves efficiency.(2)Applying the designed homomorphic encryption scheme to the electronic voting scheme,and based on the existing electronic voting scheme,the improvement scheme is given,and the processing method of the ciphertext ballot is improved,and the same private key can be used.Decrypt all ciphertext ballots and improve work efficiency.