Browsing by Subject "Paillier"

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    Robust threshold schemes based on the Chinese remainder theorem
    (Springer, 2008-06) Kaya, Kamer; Selçuk, Ali Aydın
    Recently, Chinese Remainder Theorem (CRT) based function sharing schemes are proposed in the literature. In this paper, we investigate how a CRT-based threshold scheme can be enhanced with the robustness property. To the best of our knowledge, these are the first robust threshold cryptosystems based on a CRT-based secret sharing. © 2008 Springer-Verlag Berlin Heidelberg.
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    Threshold cryptography based on Asmuth–Bloom secret sharing
    (Elsevier Inc., 2007-10-01) Kaya, K.; Selçuk, A. A.
    In this paper, we investigate how threshold cryptography can be conducted with the Asmuth-Bloom secret sharing scheme and present three novel function sharing schemes for RSA, ElGamal and Paillier cryptosysterns. To the best of our knowledge, these are the first provably secure threshold cryptosystems realized using the Asmuth-Bloom secret sharing. Proposed schemes are comparable in performance to earlier proposals in threshold cryptography. (c) 2007 Elsevier Inc. All rights reserved.