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Flexible multi-client functional encryption for set intersection.

Mojtaba Rafiee1,2

  • 1Department of Applied Mathematics and Computer Science, Faculty of Mathematics and Statistics, University of Isfahan, Isfahan, Iran.

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|June 26, 2023
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Summary
This summary is machine-generated.

This study introduces flexible multi-client functional encryption (fMCFE) schemes for set intersection, overcoming limitations of prior methods. The new fMCFE allows set intersection computations from arbitrary client subsets, enhancing cryptographic applications.

Keywords:
FlexibleFunctional encryptionMulti-clientSecure computationSet intersection

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Area of Science:

  • Cryptography
  • Computer Science

Background:

  • Existing multi-client functional encryption (MCFE) schemes for set intersection are limited to predetermined client subsets.
  • This limitation restricts the practical applications of MCFE in various scenarios.

Purpose of the Study:

  • To redefine the syntax and security notions of MCFE schemes.
  • To introduce flexible multi-client functional encryption (fMCFE) schemes.
  • To enable set intersection computations from arbitrary subsets of clients.

Main Methods:

  • Extended the security of standard MCFE schemes to fMCFE schemes.
  • Proposed a construction for fMCFE achieving fMCFE security for a universal set of polynomial size.
  • Proved the security of the construction under the DDH1 assumption.

Main Results:

  • Developed a novel fMCFE construction for set intersection.
  • The construction supports 'n' clients, each holding a set of 'm' elements, with a time complexity of O(nm).
  • Demonstrated the security of the proposed scheme under the DDH1 assumption.

Conclusions:

  • The introduced fMCFE schemes significantly broaden the applicability of functional encryption for set intersection problems.
  • This advancement offers a more versatile cryptographic primitive for secure data analysis across distributed datasets.