An Efficient Encryption Scheme with Choosable Process of Verifying Integrity and Source of Messages

Paillier P, Pointcheval D. Efficient public-key cryptosystem provably secure against active adversaries.[J]. Advances in Cryptology-ASIACRYPT9.1999,LNCS Vol. 1716:163-[2]Catalano D, Gennaro R, Graham N H. The bit security of Paillierencryption scheme and its applications.[J]. Advances in Cryptology-EUROCRYPTO0.2001,LNCS Vol. 2045:229-[3]Damgard I, Jurik M. A generalization, a simplification and some applications of Pailliers probabilistic public-key system.[J].Advances in Cryptology-PKC9.2001,LNCS Vol. 1992:119-[4]Okamoto T, Uchiyama S. A new public key cryptosystem as secure as factoring.[J]. Advances in Cryptology EUROCRYPTO9.1998,LNCS Vol. 1043:309-[5]Cramer R, Shoup V. Universal hash proofs and a Paradigm for adaptive chosen ciphertext secure public-key encryption.[J].Advances in Cryptology EUROCRYPTO0.2002,LNCS Vol.2332:45-[6]Zheng Y L. Digital signcryption or how to achieve cost (signature encryption)