The threshold secret sharing scheme based on hyperspace parameter curve

doi:10.3785/j.issn.1008-9497.2015.05.007

Journal of ZheJIang University(Science Edition)

2014, Vol. 41

Issue (5): 518-522 DOI: 10.3785/j.issn.1008-9497.2015.05.007

The threshold secret sharing scheme based on hyperspace parameter curve

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Received: 12 November 2013 Published: 01 May 2014

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LI Bin. The threshold secret sharing scheme based on hyperspace parameter curve. Journal of ZheJIang University(Science Edition), 2014, 41(5): 518-522.

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https://www.zjujournals.com/sci/10.3785/j.issn.1008-9497.2015.05.007 OR https://www.zjujournals.com/sci/Y2014/V41/I5/518

基于多维空间参数曲线的门限秘密共享方案

引入了多维空间参数曲线的概念，提出了有限域Fp上参数曲线在实数域〖WTHZ〗R〖WTBX〗上可微的思想，并给出了参数曲线上整数点的超法面方程.利用多维空间参数曲线与超法面的交点来构建参与者共享的主密钥，设计出一个直观的、安全完备的（s,n）门限秘密共享方案.结果表明，此方案在几何法中具有主密钥的单参数表示的特点，较Blakley门限秘密共享方案更具体实用，且易于实现.

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