Lower bounds and new constructions on secure group communication schemes

  • Authors:
  • Scott C. -H. Huang;Frances Yao;Minming Li;Weili Wu

  • Affiliations:
  • Department of Computer Science, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong;Department of Computer Science, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong;Department of Computer Science, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong;Department of Computer Science, University of Texas at Dallas, Mail Station EC 31, 2601 North Floyd Road, Richardson, TX 75083, United States

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2008

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Abstract

This paper presents both the theoretical and practical aspects of secure group communication schemes. We pointed out that multiple revocation is a fundamentally time-consuming task in secure group communication, by establishing lower bounds for broadcast encryption and group key distribution schemes. We showed that they are O(n) for BE and O(n/m) for GKD respectively, where m is storage requirement and n is the number of users. Thus, they are clearly far more costly than the ideal log bound. In practice, we designed a new broadcast encryption scheme RBE that actually achieves these lower bounds. RBE is shown to outperform most efficient BE schemes in mass revocation. We discuss the influence of join as well as the feasibility of adding it in BE schemes by means of performing full updating or overprovisioning.