Abstract: It is an important research topic in public key cryptography to design efficient public key encryption schemes which secure against adaptive chosen-ciphertext attacks in the standard model. Based on judging pairing Diffie-Hellman problem, it presents an efficient strong safety and shorter public/secret keys hybrid encryption scheme, which is an encryption scheme based on symmetric encryption algorithm, message authentication code algorithm and key division algorithm. Efficiency of the scheme has been analyzed, and its security has been proved. Analysis shows that the scheme has IND-CCA2 security in the standard model, supports public ciphertext integrity verification, and is more efficient than other schemes.

Key words: standard model, adaptive chosen-ciphertext security, public ciphertext verifiability, hybrid encryption

摘要： 如何设计标准模型下满足适应性选择密文安全（IND-CCA2）的高效加密方案，是公钥密码学领域的一个重要研究课题。基于判定型双线性Diffie-Hellman问题，提出了一个高效、短公/私钥长度、强安全的，基于对称加密算法、消息认证码算法、密钥分割算法等基础算法的一次一密型混合加密方案，分析了方案的安全性和效率。方案在标准模型下被证明具有IND-CCA2安全性，支持公开的密文完整性验证，与同类方案相比计算效率高。

关键词: 标准模型, 适应性选择密文安全, 密文公开可验证性, 混合加密