The document presents a new public-key cryptosystem for scalable and secure data sharing in cloud storage, which allows for efficient delegation of decryption rights through a compact aggregate key. It introduces an attribute-based encryption (ABE) model with verifiable outsourced decryption, addressing the challenge of transformation correctness while eliminating reliance on random oracles. The proposed system enhances the efficiency of decryption operations, making it suitable for resource-limited devices, thereby improving user data privacy in cloud environments.