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has been cited by the following article:

• TITLE: Verifiable Secret Sharing Scheme Based on the Plane Parametric Curve

  AUTHORS: Bin Li

  KEYWORDS: Plane Parameter Curve, Threshold Scheme, Verifiable Secret Sharing, Cheater, Information Rate, Participating Members

  JOURNAL NAME: Applied Mathematics, Vol.12 No.11, November 30, 2021

  ABSTRACT: Verifiable secret sharing is a special kind of secret sharing. In this paper, A secure and efficient threshold secret sharing scheme is proposed by using the plane parametric curve on the basis of the principle of secret sharing. And the performance of this threshold scheme is analyzed. The results reveal that the threshold scheme has its own advantage of one-parameter representation for a master key, and it is a perfect ideal secret sharing scheme. It can easily detect cheaters by single operation in the participants so that the probability of valid cheating is less than 1/p (where p is a large prime).