Geodesic
An Algorithm of $(n,t)$-Threshold Proxy Signature with an Arbitrator
Modelirovanie i analiz informacionnyh sistem, Tome 20 (2013) no. 4, pp. 55-70

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The paper presents an $(n,t)$-threshold proxy signature scheme with an Arbitrator which enables an original signer to delegate the signature authority to sign a message on behalf of the original signer to proxy group $\frak P$ of n members. The original signer distributes the proxy key among the proxy group members in such a way that not less then $t$ proxy signers and the Arbitrator can cooperatively sign messages on behalf of the original signer. Thus, for signing the document it is necessary to have agreements of not less then $t$ members. The Arbitrator is a trusted third party. It receives the information from the $t$ members and completes the calculation of the digital signature. A verifier can identify the original signer and the members of the proxy group $\frak P$. The main feature is that $n$ members of the proxy group can not calculate the proxy key and the original signer's secret key.
Keywords: proxy signature, threshold proxy signature, secret sharing. 
@article{MAIS_2013_20_4_a3,
     author = {E. A. Tolyupa},
     title = {An {Algorithm} of $(n,t)${-Threshold} {Proxy} {Signature} with an {Arbitrator}},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {55--70},
     publisher = {mathdoc},
     volume = {20},
     number = {4},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2013_20_4_a3/}
}
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E. A. Tolyupa. An Algorithm of $(n,t)$-Threshold Proxy Signature with an Arbitrator. Modelirovanie i analiz informacionnyh sistem, Tome 20 (2013) no. 4, pp. 55-70. http://geodesic.mathdoc.fr/item/MAIS_2013_20_4_a3/