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      Threshold cryptography based on Asmuth–Bloom secret sharing

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      Author
      Kaya, K.
      Selçuk, A. A.
      Date
      2007-10-01
      Source Title
      Information Sciences
      Print ISSN
      0020-0255
      Publisher
      Elsevier Inc.
      Volume
      177
      Issue
      19
      Pages
      4148 - 4160
      Language
      English
      Type
      Article
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      Abstract
      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.
      Keywords
      Threshold cryptography
      Function sharing schemes
      Asmuth-Bloom secret sharing
      RSA
      ElGamal
      Paillier
      Permalink
      http://hdl.handle.net/11693/13405
      Published Version (Please cite this version)
      http://dx.doi.org/10.1016/j.ins.2007.04.008
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