The main purpose of verifiable secret sharing scheme is to solve the honesty problem of participants. In this paper, the concept of nonzero <em>k</em>-submatrix and theresidual vector of system of hyperpla...The main purpose of verifiable secret sharing scheme is to solve the honesty problem of participants. In this paper, the concept of nonzero <em>k</em>-submatrix and theresidual vector of system of hyperplane intersecting line equations is proposed. Based on certain projective transformations in projective space, a verifiable (<em>t</em>, <em>n</em>)-threshold secret sharing scheme is designed by using the structure of solutions of linear equations and the difficulty of solving discrete logarithm problems. The results show that this scheme can verify the correctness of the subkey provided by each participant before the reconstruction of the master key, and can effectively identify the fraudster. The fraudster can only cheat by guessing and the probability of success is only 1/<em>p</em>. The design of the scheme is exquisite and the calculation complexity is small. Each participant only needs to hold a subkey, which is convenient for management and use. The analysis shows that the scheme in this paper meets the security requirements and rules of secret sharing, and it is a computationally secure and effective scheme with good practical value.展开更多
This paper introduces a generalized multivariate Gumbel(GMG) distribution using a survival copula.Various dependence properties of the GMG distribution and some analytical properties of the generators of the GMG distr...This paper introduces a generalized multivariate Gumbel(GMG) distribution using a survival copula.Various dependence properties of the GMG distribution and some analytical properties of the generators of the GMG distribution are studied.Furthermore,the authors also investigate the dependence behavior of the residual lifetime vector of the GMG distribution.As an illustration,the GMG distribution is applied to fit a real data set.展开更多
文摘The main purpose of verifiable secret sharing scheme is to solve the honesty problem of participants. In this paper, the concept of nonzero <em>k</em>-submatrix and theresidual vector of system of hyperplane intersecting line equations is proposed. Based on certain projective transformations in projective space, a verifiable (<em>t</em>, <em>n</em>)-threshold secret sharing scheme is designed by using the structure of solutions of linear equations and the difficulty of solving discrete logarithm problems. The results show that this scheme can verify the correctness of the subkey provided by each participant before the reconstruction of the master key, and can effectively identify the fraudster. The fraudster can only cheat by guessing and the probability of success is only 1/<em>p</em>. The design of the scheme is exquisite and the calculation complexity is small. Each participant only needs to hold a subkey, which is convenient for management and use. The analysis shows that the scheme in this paper meets the security requirements and rules of secret sharing, and it is a computationally secure and effective scheme with good practical value.
基金supported by STU Scientific Research Foundation for Talents under Grant No.NTF15002STU Natural Science Foundation for Young Scientists under Grant No.YR15002+1 种基金Guangdong Natural Science Foundation under Grant No.2016A030310076Scientific Research Funds of Department of Education of Guangdong Province under Grant No.2015KQNCX043
文摘This paper introduces a generalized multivariate Gumbel(GMG) distribution using a survival copula.Various dependence properties of the GMG distribution and some analytical properties of the generators of the GMG distribution are studied.Furthermore,the authors also investigate the dependence behavior of the residual lifetime vector of the GMG distribution.As an illustration,the GMG distribution is applied to fit a real data set.
