摘要

Signcryption is a cryptographic primitive that simultaneously performs the functions of both digital signature and encryption in a way that is more efficient than signing and encrypting separately. Multi-signcryption is an extension of signcryption scheme for multi-signers performing together the signcryption operation on the same message. Two signcryption schemes, including signcryption proposed by Li et al. (2006), and multi-signcryption scheme by Zhang et al. (2008), are proved not to resist on chosen-plaintext attack and chosen-identity attack under the CPA adversary. Furthermore, the improved signcryption and multi-signcryption schemes are put forward that providing security properties including CPA, CCA2, and public verifiability, which deploy the message hidden method to resist on the chosen-plaintext attack, and multiple signer members authentication to protect the multi-signers' ciphertexts not be interpolated.

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