Multi Party Distributed Private Matching, Set Disjointness and Cardinality of Set Intersection with Information Theoretic Security

  • Authors:
  • G. Sathya Narayanan;T. Aishwarya;Anugrah Agrawal;Arpita Patra;Ashish Choudhary;C. Pandu Rangan

  • Affiliations:
  • National Institute of Technology, Trichy, India;National Institute of Technology, Trichy, India;Institute of Technology, BHU, India;Department of Computer Science and Technology, Indian Institute of Technology Madras, Chennai, India;Department of Computer Science and Technology, Indian Institute of Technology Madras, Chennai, India;Department of Computer Science and Technology, Indian Institute of Technology Madras, Chennai, India

  • Venue:
  • CANS '09 Proceedings of the 8th International Conference on Cryptology and Network Security
  • Year:
  • 2009

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Abstract

In this paper, we focus on the specific problems of Private Matching, Set Disjointness and Cardinality of Set Intersection in information theoretic settings. Specifically, we give perfectly secure protocols for the above problems in n party settings, tolerating a computationally unbounded semi-honest adversary, who can passively corrupt at most t n /2 parties. To the best of our knowledge, these are the first such information theoretically secure protocols in a multi-party setting for all the three problems. Previous solutions for Distributed Private Matching and Cardinality of Set Intersection were cryptographically secure and the previous Set Disjointness solution, though information theoretically secure, is in a two party setting. We also propose a new model for Distributed Private matching which is relevant in a multi-party setting.