关键词: 密码学, 认证加密, 消息可恢复签名, 公开验证

Abstract: Recently，a new type of authenticated encryption scheme is proposed.It first combines signature with message recovery schemes and symmetric encryption schemes together，and this type of scheme doesn’t use Hash or Redundancy functions.But，the scheme without the basic condition of the digital signature cannot prevent the receiver of message from forging signature.This paper presents a new authenticated encryption scheme whose security is based on the DLP and double module.The signature can be converted a common signature on bringing dissension.Anyone can verify the validity of the signature.

Key words: cryptography, authenticated encryption, signature with message recovery, public verify