ECC可定义椭圆曲线群的双线性映射,该特性可能将来被用来实现身份基加密体制(Identity-Based Encryption,IBE)。

e.g. SM9

四个基本的IBE体制
Boneh-Franklin IBE 2001
Cocks IBE 2001
Boneh-Boyen IBE 2004
Heng-Kurosawa IBE 2004

IBE体制由四个部分构成

  • 系统建立:生成公开系统参数和主密钥
  • 私钥生成:由用户标识和主密钥导出用户私钥
  • 加密:由用户标识加密
  • 解密:由用户私钥解密

  1. https://www.youtube.com/watch?v=Tt7cJnZDth0 - 3rd BIU Winter School on Cryptography: Identity-Based Encryption and Variants - Dan Boneh
  2. https://www.slideshare.net/pratikpoddar05051989/identity-based-encryption - Identity Based Encryption
  3. https://www.slideshare.net/guanzhi/a-survey-of-identitybased-encryption - A Survey of Identity-Based Encryption