Verifiable special threshold secret sharing scheme based on eigenvalue

Utilizing the characteristic that the characteristic equation of the n-th order matrix have multiple roots,the secret distributor distributes two different sub-keys to each participant,and these two sub-keys satisfy two conditions:linear independent and equality of the corresponding characteristic v...

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Bibliographic Details
Published inTongxin Xuebao Vol. 39; pp. 169 - 175
Main Authors Yanshuo ZHANG, Wenjing LI, Lei CHEN, Wei BI, Tao YANG
Format Journal Article
LanguageChinese
English
Published Editorial Department of Journal on Communications 25.08.2018
Subjects
black box
eigenvalue
secret sharing
verifiable
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Summary:Utilizing the characteristic that the characteristic equation of the n-th order matrix have multiple roots,the secret distributor distributes two different sub-keys to each participant,and these two sub-keys satisfy two conditions:linear independent and equality of the corresponding characteristic values.In the process of sub-key distribution and master key recovery,the black box can judge the authenticity of the participants’ activities through the characteristics of the sub-keys.If the two sub-keys have satisfied two conditions of linear independence and equal feature values,it can be determined that the participant’s activity is honest,otherwise,it can be determined that there exists fraudulent activity.The analysis results show that the scheme is correct,secure,and the information rate is 12.
ISSN:1000-436X
DOI:10.11959/j.issn.1000-436x.2018143