A secure authenticated encryption scheme and its extension

An authenticated encryption scheme is a message transmission scheme, which can send a message in a secure and authentic way, and allows the specified recipient to simultaneously recover and verify the validity of a message. In the large message transmission, traditional authenticated encryption schemes have the disadvantage that communication overheads and the computation costs are too high. In this work, we propose a secure authentication encryption scheme and show that the scheme is secure in the random oracle model. Comparisons of our proposed scheme with Wu-Hsus scheme and Huang-Changs scheme, the proposed scheme is more efficient for computation complexity and communication cost. Finally, we extend our proposed scheme to adapt to the authenticated encryption for a large message, which is secure against the message block being reordered, replicated or partially deleted during transmission.