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The Boneh -Franklin IBE

The Boneh -Franklin IBE. Simplified Boneh -Franklin IBE. Boneh -Franklin IBE - correctness. Boneh -Franklin IBE. Boneh -Franklin IBE - correctness. Admissible bilinear maps. Bilinear Diffie -Hellman - BDH. BDH generator. BDH assumption . Boneh -Franklin - BasicIdent.

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The Boneh -Franklin IBE

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  1. The Boneh-Franklin IBE

  2. SimplifiedBoneh-Franklin IBE

  3. Boneh-Franklin IBE - correctness

  4. Boneh-Franklin IBE

  5. Boneh-Franklin IBE - correctness

  6. Admissible bilinear maps

  7. Bilinear Diffie-Hellman - BDH

  8. BDH generator

  9. BDH assumption

  10. Boneh-Franklin - BasicIdent

  11. Random oraclemodel (ROM)

  12. Random oraclemodel (ROM) • Random oracel model idealization of • one-way functions • random functions • collision-resistant hash functions.

  13. BasicIdent - Security

  14. BasicPub – a public-key variant

  15. Proof structure

  16. BasicPub and BasicIdent

  17. The CPA game

  18. BasicPub and BasicIdent

  19. BasicPub and BasicIdent

  20. Computing H1

  21. Answering KeyGen queries

  22. Computing challenge c’

  23. Putting things together

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