Probabilistic Infinite Secret Sharing

Preprint English OPEN
Csirmaz, László;
  • Subject: Computer Science - Information Theory | Mathematics - Probability | 60B05, 94A62, 46C99, 54D10 | Computer Science - Cryptography and Security

The study of probabilistic secret sharing schemes using arbitrary probability spaces and possibly infinite number of participants lets us investigate abstract properties of such schemes. It highlights important properties, explains why certain definitions work better th... View more
  • References (17)
    17 references, page 1 of 2

    [1] Jacques Azma, Marc Yor, Paul Meyer, and Thierry de la Rue. Espaces de Lebesgue. In Sminaire de Probabilits XXVII, volume 1557 of Lecture Notes in Mathematics, pages 15-21. Springer Berlin / Heidelberg, 1993. 10.1007/BFb0087958.

    [2] Amos Beimel. Secret-sharing schemes: A survey. In Yeow Meng Chee, Zhenbo Guo, San Ling, Fengjing Shao, Yuansheng Tang, Huaxiong Wang, and Chaoping Xing, editors, IWCC, volume 6639 of Lecture Notes in Computer Science, pages 11-46. Springer, 2011.

    [3] G. R. Blakley and Laif Swanson. Infinite structures in information theory. In CRYPTO, pages 39-50, 1982.

    [4] J. T. Chang and D. Pollard. Conditioning as disintegration. Statistica Neerlandica, 51(3):287- 317, 1997.

    [5] B. Chor and E. Kushilevitz. Secret sharing over infinite domain. Journal of Cryptology, 6(2):97-86, 1993.

    [6] Alexander Dibert. Generalized secret sharing. Master's thesis, Central European University, Budapest, Hungary, 2011.

    [7] Alexander Dibert and Laszlo Csirmaz. Infinite secret sharing - exmples. 2012. manuscript.

    [8] J Haezendonck. Abstract Lebesgue-Rokhlin spaces. Bulletin de la Societe Mathematique de Belgique, 25:243-258, 1973.

    [9] S. Janson. Gaussian Hilbert Spaces. Cambridge Tracts in Mathematics. Cambridge University Press, 1997.

    [10] O. Kallenberg. Foundations of Modern Probability. Probability and Its Applications Series. Springer, 2010.

  • Similar Research Results (1)
  • Metrics
    No metrics available
Share - Bookmark