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A Survey of Identity-Based Encryption
1.
IBE发展现状
关志 Guanzhi@infosec.pku.edu.cn 2007年7月24日 2007-7-24 Identity Based Encryption 1
2.
四个基本的IBE体制
Boneh-Franklin IBE 2001 Cocks IBE 2001 Boneh-Boyen IBE 2004 Heng-Kurosawa IBE 2004 2007-7-24 Identity Based Encryption 2
3.
IBE的扩展
层次IBE 支持通配符的IBE 模糊IBE … 2007-7-24 Identity Based Encryption 3
4.
IBE体制
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 2007-7-24 Identity Based Encryption 4
5.
Pairing基本概念
Pairing(双线性映射)e: G1×G1 →G2,#G1=# G2 =p。 满足如下性质: 双线性(Bilinearity) <aP, bQ> = <aP, Q>b=<P, bQ>a=<P, Q>ab 非退化(Non-degenerate) 对于任意P和Q,不全都映射到的单位元上 运算效率满足应用需求。 2007-7-24 Identity Based Encryption 5
6.
Pairing的进展
新的Pairing类型 Weil Pairing Tate Pairing Ate Pairing 新的适用于Pairing的椭圆曲线 超奇异椭圆曲线 MNT椭圆曲线 2007-7-24 Identity Based Encryption 6
7.
Pairing 密码基础
Pairing和离散对数问题的相似性 <aP, Q>b=<P, bQ>a =<P, Q>ab (ga)b = (gb)a = gab 由Pairing构造的Diffie-Hellman密钥交换 P,Q为G1上的公开点,A (a, aP),B (b, bP) A发送aP给B B发送bP给A A计算共享密钥<bP, Q>a =(<P, Q>b) a =<P, Q>ab B计算共享密钥<aP, Q>b =(<P, Q>a) b =<P, Q>ab 2007-7-24 Identity Based Encryption 7
8.
Boneh-Franklin IBE
系统主密钥:整数s 公开的参数:椭圆曲线点sP, 接收方私钥:椭圆曲线点sQID 接收方公钥:QID=Map-to-point(ID) 加密:选择一个随机数 r∈Zq* ,明文 M 对 应的密文C={U,V}={rP, M⨁ 〈QID, sP〉r} 解密:M=V⨁〈sQID, rP〉 2007-7-24 Identity Based Encryption 8
9.
密钥长度对比
Bits of Pairing ECC (CPK) RSA Security (BF-IBE) 80 160 512 1024 112 224 1024 2048 128 256 1536 3072 192 384 3840 7680 256 512 7680 15360 2007-7-24 Identity Based Encryption 9
10.
效率对比
BF-IBE @ 512bit ECC, 512bit ECC : 160bit ECC = 9:1 2007-7-24 Identity Based Encryption 10
11.
实现
Stanford PBC Voltage IBE Shamus MIRCAL 2007-7-24 Identity Based Encryption 11
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