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基于身份的加密是一种直接以用户的身份作为公钥的加密方案。自提出以来,利用双线性对实现基于身份的加密方案的案例已经有很多,但是这些方案大都是采用对称的双线性对,即要求作为映射输入的两个群相同。这无疑缩小了映射中所选取的椭圆曲线的范围,将在一种更一般的条件下,即在非对称双线性对下,基于判定性双线性Diffe-Hellman(BDHE)难解问题在标准模型下构造出一种新型的基于身份的加密方案,并证明其在标准模型下具有不可区分的选择身份的选择明文(IND-sID-CPA)安全性。
Identity-based encryption is an encryption scheme that directly uses the user’s identity as the public key. There have been many cases of using bilinear pairings to implement identity-based encryption schemes since they were proposed, but most of these schemes employ symmetric bilinear pairs that require the same two groups to be input as mappings. This undoubtedly narrows the range of the elliptic curve selected in the mapping. Under a more general condition, that is, under the asymmetric bilinear pairing, based on the deterministic bilinear Diffe-Hellman (BDHE) A new type of identity-based encryption scheme is constructed under the standard model, and it is proved that it has indivisible IND-sID-CPA security under the standard model.