Method for signcryption with non-interactive undeniable property

The invention provides a method for signcryption with a non-interactive undeniable property. According to the method for the signcryption, a public key encryption scheme with a special property is utilized, a general public key encryption scheme is replaced with encryption with a non-interactive opening property, and the encryption is combined with a digital signature so as to construct the signcryption with the non-interactive undeniable property. The construction method belongs to a general construction method; the encryption is carried out first and then the signature is performed; and the efficiency of a signcryption scheme depends on that of selected PKENO scheme and digital signature scheme. Especially, if a receiver has executed a de-signcryption algorithm before executing an evidence generation algorithm, then the efficiency of the evidence generation algorithm in the signcryption is equivalent to that of the evidence generation algorithm in a PKENO algorithm. The method is high in running efficiency