Abstract: Identity Based Encryption(IBE) schemes and Identity Based Broadcast Encryption(IBBE) schemes are often constructed by using bilinear maps (a.k.a. parings) on elliptic curves. In this paper, an Identity Based Broadcast Encryption scheme without pairings was given. It is secure in Random Oracle according to the Quadratic Residuosity assumption.

Key words: broadcast encryption, identity based encryption, identity based broadcast encryption, quadratic residuosity

摘要： 基于身份的加密方案和基于身份的广播加密方案一般都是使用椭圆曲线上的双线性映射(也称为对)来实现的。提出一个不使用双线性映射的基于身份的广播加密方案，基于二次剩余假设，在Random Oracle模型下是可证安全的。

关键词: 广播加密, 基于身份的加密, 基于身份的广播加密, 二次剩余