【摘 要】
：
A (t,n) threshold secret sharing scheme is a funda-mental tool in many security applications such as cloud com-puting and multiparty computing.In conventional threshold se-cret sharing schemes,like Shamir\'s scheme based on a univari-ate polynomial,addi
【机 构】
：
Department of Computer Science Electrical Engineering,University of Missouri-Kansas City,Kansas City
论文部分内容阅读
A (t,n) threshold secret sharing scheme is a funda-mental tool in many security applications such as cloud com-puting and multiparty computing.In conventional threshold se-cret sharing schemes,like Shamir\'s scheme based on a univari-ate polynomial,additional communication key share scheme is needed for shareholders to protect the secrecy of their shares if secret reconstruction is performed over a network.In the secret reconstruction,the threshold changeable secret sharing(TCSS) allows the threshold to be a dynamic value so that if some shares have been compromised in a given time,it needs more shares to reconstruct the secret.Recently,a new secret sharing scheme based on a bivariate polynomial is proposed in which shares generated initially by a dealer can be used not only to reconstruct the secret but also to protect the secrecy of shares when the secret reconstruction is performed over a net-work.In this paper,we further extend this scheme to enable it to be a TCSS without any modification.Our proposed TCSS is dealer-free and non-interactive.Shares generated by a dealer in our scheme can serve for three purposes,(a) to reconstruct a se-cret;(b) to protect the secrecy of shares if secret reconstruction is performed over a network;and (c) to enable the threshold changeable property.
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