Christopher Eagle ; Zhicheng Gao ; Mohamed Omar ; Daniel Panario ; Bruce Richmond - Distribution of the Number of Encryptions in Revocation Schemes for Stateless Receivers

dmtcs:3564 - Discrete Mathematics & Theoretical Computer Science, January 1, 2008, DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science - https://doi.org/10.46298/dmtcs.3564
Distribution of the Number of Encryptions in Revocation Schemes for Stateless ReceiversArticle

Authors: Christopher Eagle 1; Zhicheng Gao 2; Mohamed Omar 3; Daniel Panario 2; Bruce Richmond 4

  • 1 Combinatorics and Optimization [Waterloo]
  • 2 School of Mathematics and Statistics [Ottawa]
  • 3 Department of Mathematics [Univ California Davis]
  • 4 Department of Combinatorics and Optimization

We study the number of encryptions necessary to revoke a set of users in the complete subtree scheme (CST) and the subset-difference scheme (SD). These are well-known tree based broadcast encryption schemes. Park and Blake in: Journal of Discrete Algorithms, vol. 4, 2006, pp. 215―238, give the mean number of encryptions for these schemes. We continue their analysis and show that the limiting distribution of the number of encryptions for these schemes is normal. This implies that the mean numbers of Park and Blake are good estimates for the number of necessary encryptions used by these schemes.

https://doi.org/10.46298/dmtcs.3564
Source: HAL:hal-01194683v1
Volume: DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science
Section: Proceedings
Published on: January 1, 2008
Imported on: May 10, 2017
Keywords: Heuberger's two dimensions quasi-power theorem,Hwang's quasi-power theorem,broadcast encryption,Key distribution schemes,subset-difference scheme (SD),complete subtree scheme (CST),[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM],[MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS],[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO]
Funding:
    Source : OpenAIRE Graph
  • Funder: Natural Sciences and Engineering Research Council of Canada

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