Abstract: Sahai and Waters proposed ABE (Attribute-based Encryption) which realizes one to more encryption.ABE has extensive application value.With the continuous development of cloud computing,cloud computing is also closely linked with attribute based encryption.This paper applied the rapid and efficient outsourcing computation technique into ABE decryption algorithm.In cloud computing,the cloud server stores the clients’ ciphertexts.When the client decrypts its remote data,the decryptor uploads the transform key to the cloud server.By using the transform key,the cloud server transforms the ciphertext into semi-ciphertext and sends it to client.The client decrypts the semi-ciphertext and gets the plaintext.This outsourcing computation technique saves the clients’ computation overhead.Through security analysis and efficiency analysis,our proposed scheme is secure and efficient.

Key words: Attribute-based encryption,Outsourcing,Fast decryption