The Boneh-Franklin IBE. Simplified Boneh-Franklin IBE 2.

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Presentation transcript:

The Boneh-Franklin IBE

Simplified Boneh-Franklin IBE 2

Boneh-Franklin IBE - correctness 3

Boneh-Franklin IBE 4

Boneh-Franklin IBE - correctness 5

Admissible bilinear maps 6

Bilinear Diffie-Hellman - BDH 7

BDH generator 8

BDH assumption 9

Boneh-Franklin - BasicIdent 10

Random oracle model (ROM)

Random oracel model idealization of  one-way functions  random functions  collision-resistant hash functions.

BasicIdent - Security 13

BasicPub – a public-key variant 14

Proof structure 15

BasicPub and BasicIdent 16

The CPA game 17

BasicPub and BasicIdent 18

BasicPub and BasicIdent 19

Computing H 1 20

Answering KeyGen queries 21

Computing challenge c’ 22

Putting things together 23

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