The technological scheme of a hard rock surface mine is a multiple level production system of interdependently func-tioning elements. Selection of the optimum combination of its elements constitutes a complex multiple...The technological scheme of a hard rock surface mine is a multiple level production system of interdependently func-tioning elements. Selection of the optimum combination of its elements constitutes a complex multiple variant and criteria problem of decision making. In this paper describes the theoretical part of the method proposed for the quantitative analysis and selection of the most competent technological schemes, based on the mathematical formulations of the selection criteria of the element of each level as functions of the alternative variants of the elements of the level and its adjacent levels. It is realized in accordance to standard procedures of decision making in the formation of the economical mathematical model of the cumulative influence of levels and elements on the effectiveness of all alternative variants in their analysis and generation of a small subset of the most competent variants, which are subjected to further analysis using the criterion of reliability in the generation of the optimum technological scheme. The scientific challenge inherent in its realization constitutes a PhD research opportunity for those interested in the problems of optimization in hard rock surface mines.展开更多
Bunder等人于2016年提出了利用连分式方法求解模方程中未知变量的问题,并将该问题扩展到对三种RSA变型方案的安全性分析.该模方程的表达式为ed≡1 mod (p^2-1)(q^2-1),其中N=pq为RSA模数,且p和q的规模是任意的, e和d分别为方案的公钥和...Bunder等人于2016年提出了利用连分式方法求解模方程中未知变量的问题,并将该问题扩展到对三种RSA变型方案的安全性分析.该模方程的表达式为ed≡1 mod (p^2-1)(q^2-1),其中N=pq为RSA模数,且p和q的规模是任意的, e和d分别为方案的公钥和私钥.类似于RSA方案的小解密指数分析, Bunder等人给出了基于上述模方程的相关小解密指数分析结果.本文利用Coppersmith方法大幅度改进了Bunder等人的分析结果,扩大了可以实现的上述三种变型RSA方案小解密指数攻击的参数范围.对于上述模方程中的未知变量的求解,我们在构造格时,通过添加额外的参数使得p和q在不同规模下,尽可能优化格的构造,提升了之前的结果.最后,通过实验验证了我们的方法.展开更多
文摘The technological scheme of a hard rock surface mine is a multiple level production system of interdependently func-tioning elements. Selection of the optimum combination of its elements constitutes a complex multiple variant and criteria problem of decision making. In this paper describes the theoretical part of the method proposed for the quantitative analysis and selection of the most competent technological schemes, based on the mathematical formulations of the selection criteria of the element of each level as functions of the alternative variants of the elements of the level and its adjacent levels. It is realized in accordance to standard procedures of decision making in the formation of the economical mathematical model of the cumulative influence of levels and elements on the effectiveness of all alternative variants in their analysis and generation of a small subset of the most competent variants, which are subjected to further analysis using the criterion of reliability in the generation of the optimum technological scheme. The scientific challenge inherent in its realization constitutes a PhD research opportunity for those interested in the problems of optimization in hard rock surface mines.
文摘Bunder等人于2016年提出了利用连分式方法求解模方程中未知变量的问题,并将该问题扩展到对三种RSA变型方案的安全性分析.该模方程的表达式为ed≡1 mod (p^2-1)(q^2-1),其中N=pq为RSA模数,且p和q的规模是任意的, e和d分别为方案的公钥和私钥.类似于RSA方案的小解密指数分析, Bunder等人给出了基于上述模方程的相关小解密指数分析结果.本文利用Coppersmith方法大幅度改进了Bunder等人的分析结果,扩大了可以实现的上述三种变型RSA方案小解密指数攻击的参数范围.对于上述模方程中的未知变量的求解,我们在构造格时,通过添加额外的参数使得p和q在不同规模下,尽可能优化格的构造,提升了之前的结果.最后,通过实验验证了我们的方法.
