1 / 22

Identity-Based Lossy Trapdoor Functions: Definition, Construction, and Applications

This paper explores the definition, construction, and applications of Identity-Based Lossy Trapdoor Functions (IB-LTDF) in secure setups. It covers the implications, limitations, and hierarchical extensions of IB-LTDF, including the functional requirements and security implications, aiming to provide new primitives with adaptive security.

whitemana
Download Presentation

Identity-Based Lossy Trapdoor Functions: Definition, Construction, and Applications

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Lossy Trapdoor Functions Definition and applications

  2. Lossy Trapdoor Functions Definition [PW08] Invertible Lossy

  3. Lossy Trapdoor Functions Implications [BKPW12] Whataboutthe IB setting?

  4. Lossy Trapdoor Functions Constructing a primitive Setup Encrypt Decrypt Gen Evalpk Invert Game 1 Secure! IND Setup Encrypt Decrypt? Gen’ Evalpk’ Game 2 C hides M!

  5. Identity-Based Lossy Trapdoor Function[BKPW12] Working towards a definition

  6. Identity-Based Lossy Trapdoor Functions IBE - Functionality Constructed with an IB-LTDF uses: IBE [Sha84,BF01] consistsof:

  7. Identity-Based Lossy Trapdoor Functions Functional requirements Invertible

  8. Identity-Based Lossy Trapdoor Functions IBE – Security Game / Reduction Using IB-LTDF can try toinvert. should be lossy

  9. Identity-Based Lossy Trapdoor Functions Towards defining sec. requirements Invertible Sec. Requirement? Lossy

  10. Identity-Based Lossy Trapdoor Functions [BKPW12] limitations

  11. Identity-Based Lossy Trapdoor Functions [BKPW12] limitations

  12. Identity-Based Lossy Trapdoor Function New Definition and Hierarchical Extension

  13. Identity-Based Lossy Trapdoor Functions Our definition (I) Lossy Experiment Real Experiment L I has small range has full range

  14. Identity-Based Lossy Trapdoor Functions Our definition (II) Extra Cond. #1: big enough Extra Cond. #2: indep. from guess

  15. Identity-Based Lossy Trapdoor Functions [EHLR14] implications *Also in [XXZ12]

  16. Identity-Based Lossy Trapdoor Functions [EHLR14] implications *Also in [XXZ12]

  17. Identity-Based Lossy Trapdoor Function Construction

  18. Identity-Based Lossy Trapdoor Functions Construction similar to [PW08] • Matrix-vector paradigm Building block: a new Hierarchical Predicate Encryption • Hidden Predicate defines Injective or Lossy To evaluate the function for an identity: • Homomorphically evaluate the Predicate for the Identity • Obtain a matrix of HIBE ciphertexts • Compute the matrix-vector product in the exponent Our construction

  19. Identity-Based Lossy Trapdoor Function Conclusion

  20. Identity-Based Lossy Trapdoor Functions Wegive a new definition Wegive a hierarchicalextension of thedefinition Ourdefinitionimpliesnew primitiveswithadaptivesecurity: • One-way HIB TrapdoorFunctions • HIB DeterministicEncryption • HIB HedgedEncryption • Forward SecureDeterministicEncryption • Forward SecureHedgedEncryption Wegive a constructionwhichsatisfiesthe extended definition Ourcontributions

  21. THANK YOU!

More Related