根据MOV归约理论，采用双线性映射构造的基于身份加密方案使得该方案不具有椭圆曲线高效的优点。

According to the MOV reduction theory, the identity-based encryption scheme which is based on the bilinear map will lose the high efficiency of elliptic curve.

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利用椭圆曲线上的双线性映射的特性，提出了一个新的基于身份体制的安全有效的认证加密方案。

A new efficient ID-based authenticated encryption scheme is proposed, in which some characteristics of bilinear map are used.

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提出一个基于分级身份的密码系统：包括分级的基于身份的加密和签名方案。

A new hierarchical identity based (ID-based) cryptosystem is proposed, including hierarchical ID-based encryption and signature.

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