FULLY HOMOMORPHIC SYMMETRIC KEY ENCRYPTION WITH SMITH NORMAL FORM FOR PRIVACY PRESERVING CLOUD PROCESSING

Demand for security mechanisms increases with the increase of Cloud computing applications. Data holders can keep their private data securely on a cloud and clients can access them on demand. A number of encryption mechanisms ensure the security of private data but none of them supports to operate on the cipher. Homomorphic encryption is a solution as the existing schemes are complex and impractical. The present paper addresses the issue of ensuring security of private data, stored in the Cloud by Symmetric Fully Homomorphic encryption scheme. The data is converted into a square matrix and a private key pair is used to generate Q(P)(n) matrix called Golden matrix. The Homomorphic property of the scheme is ensured by the plaintext square matrix and the Q(P)(n) matrices, since they are in Smith Normal form. The clients may access the cipher for computations with no knowledge of the original data in the Cloud. The encryption scheme assuages the owners of the cloud data to secure their private data from perilous clients.