Constructing Representative Collective Signature Protocols Using The GOST R34.10-1994 Standard  

作　　者：Tuan Nguyen Kim Duy Ho Ngoc Nikolay A.Moldovyan 

机构地区：[1]School of Computer Science,Duy Tan University,Danang,Vietnam [2]Department of Information Technology,Hanoi,Vietnam [3]ITMO University,St.Petersburg,Russia

出　　处：《Computers, Materials & Continua》2023年第1期1475-1491,共17页计算机、材料和连续体（英文）

基　　金：supported by Duy Tan University,Da Nang,Vietnam.

摘　　要：The representative collective digital signature,which was suggested by us,is built based on combining the advantages of group digital signature and collective digital signature.This collective digital signature schema helps to create a unique digital signature that deputizes a collective of people representing different groups of signers and may also include personal signers.The advantage of the proposed collective signature is that it can be built based on most of the well-known difficult problems such as the factor analysis,the discrete logarithm and finding modulo roots of large prime numbers and the current digital signature standards of the United States and Russian Federation.In this paper,we use the discrete logarithmic problem on prime finite fields,which has been implemented in the GOST R34.10-1994 digital signature standard,to build the proposed collective signature protocols.These protocols help to create collective signatures:Guaranteed internal integrity and fixed size,independent of the number of members involved in forming the signature.The signature built in this study,consisting of 3 components(U,R,S),stores the information of all relevant signers in the U components,thus tracking the signer and against the“disclaim of liability”of the signer later is possible.The idea of hiding the signer’s public key is also applied in the proposed protocols.This makes it easy for the signing group representative to specify which members are authorized to participate in the signature creation process.

关 键 词：Signing collective signing group discrete logarithm group signature collective signature GOST standards 

分 类 号：TP3[自动化与计算机技术—计算机科学与技术]