Foundations of group signatures: formal definitions, simplified requirements, and a construction based on general assumptions

  • Authors:
  • Mihir Bellare;Daniele Micciancio;Bogdan Warinschi

  • Affiliations:
  • Dept. of Computer Science & Engineering, University of California at San Diego, La Jolla, California;Dept. of Computer Science & Engineering, University of California at San Diego, La Jolla, California;Dept. of Computer Science & Engineering, University of California at San Diego, La Jolla, California

  • Venue:
  • EUROCRYPT'03 Proceedings of the 22nd international conference on Theory and applications of cryptographic techniques
  • Year:
  • 2003

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Abstract

This paper provides theoretical foundations for the group signature primitive. We introduce strong, formal definitions for the core requirements of anonymity and traceability. We then show that these imply the large set of sometimes ambiguous existing informal requirements in the literature, thereby unifying and simplifying the requirements for this primitive. Finally we prove the existence of a construct meeting our definitions based only on the sole assumption that trapdoor permutations exist.