Let R=Z/PkZ be the ring of integers modulo pk where p is a prime and k>1.Denote by n(r,m×n)tile number of m by n matrices with real rank r over R.In tile present paper.we compute n(r.m×n) and the number o...Let R=Z/PkZ be the ring of integers modulo pk where p is a prime and k>1.Denote by n(r,m×n)tile number of m by n matrices with real rank r over R.In tile present paper.we compute n(r.m×n) and the number of the orbits of Mm,n.(R)under GLm.(R)×GLm(R).where Mm.n(R) is the set of all m by n matrices over R.展开更多
The conventional ring signature schemes cannot address the scenario where the rank of members of the ring needs to be distinguished, for example, in electronically commerce application. To solve this problem, we prese...The conventional ring signature schemes cannot address the scenario where the rank of members of the ring needs to be distinguished, for example, in electronically commerce application. To solve this problem, we presented a Trusted Platform Module (TPM)-based threshold ring signature scheme. Employing a reliable secret Share Distribution Center (SDC), the proposed approach can authenticate the TPM-based identity rank of members of the ring but not track a specific member's identity. A subset including t members with the same identity rank is built. With the signing cooperation of t members of the subset, the ring signature based on Chinese remainder theorem is generated. We proved the anonymity and unforgeability of the proposed scheme and compared it with the threshold ring signature based on Lagrange interpolation polynomial. Our scheme is relatively simpler to calculate.展开更多
P-集合(packet sets)是由内P-集合X■(internal packet set X■)与外P-集合XF(outer packet set XF)构成的集合对;或者(X■,XF)是P-集合。P-集合具有动态特性(内P-集合具有内-动态特性,外P-集合具有外-动态特性)。P-集合在动态信息系统...P-集合(packet sets)是由内P-集合X■(internal packet set X■)与外P-集合XF(outer packet set XF)构成的集合对;或者(X■,XF)是P-集合。P-集合具有动态特性(内P-集合具有内-动态特性,外P-集合具有外-动态特性)。P-集合在动态信息系统的多个领域中获得了应用。在一类信息系统中,这类信息系统只具有内-动态特性,不具有外-动态特性。为了研究这类只有内-动态特性的信息系统,改进并简化P-集合,提出了半P-集合(half packet sets)。半P-集合是由内P-集合X■与有限普通集合X构成的集合对,或者(X■,X)是半P-集合,半P-集合具有内-动态特性。以及半P-集合与有限普通集合的关系,以及半P-集合与P-集合的关系。利用半P-集合给出信息内-真度与信息内-真度环的概念、信息内-真度环定理以及内-信息恢复-还原的内-真度准则与内-信息恢复-还原的特征系数准则。利用这些结果,给出内-真度环在内-信息恢复-还原中的应用。半P-集合是研究一类动态信息系统的一个新的数学方法与数学模型;半P-集合在一类信息系统应用中前景看好。展开更多
针对高压直流(high voltage direct current,HVDC)线路高阻接地故障时保护容易拒动的问题,提出一种基于单环定理的纵联保护方法。首先,将直流线路两侧电流突变量作为状态变量构造奇异值等价矩阵,根据单环定理进行谱分析从而实现区内外...针对高压直流(high voltage direct current,HVDC)线路高阻接地故障时保护容易拒动的问题,提出一种基于单环定理的纵联保护方法。首先,将直流线路两侧电流突变量作为状态变量构造奇异值等价矩阵,根据单环定理进行谱分析从而实现区内外故障识别;然后,通过广义S变换提取两极电流突变量特定频段暂态能量和的比值特征进行故障选极;最后,给出了纵联保护方案。仿真验证表明,所提保护原理判据简单,易于整定,各种故障情况下均能实现快速、有选择性动作。所提方法对不良数据具有较强的免疫能力,即使在线路末端发生高阻接地等最不利于保护动作的故障情况下仍能可靠动作。展开更多
文摘Let R=Z/PkZ be the ring of integers modulo pk where p is a prime and k>1.Denote by n(r,m×n)tile number of m by n matrices with real rank r over R.In tile present paper.we compute n(r.m×n) and the number of the orbits of Mm,n.(R)under GLm.(R)×GLm(R).where Mm.n(R) is the set of all m by n matrices over R.
基金Acknowledgements This work was supported by the National Basic Research Program of China under Crant No. 2007CB311100, Core Electronic Devices, High-end General Purpose Chips and Basic Software Products in China under Oant No. 2010ZX01037-001-001 Ph.D. Start-up Fund of Beijing University of Technology under Grants No. X0007211201101 and No. X00700054R1764, National Soft Science Research Program under Crant No. 2010GXQ5D317 and the National Natural Science Foundation of China underGrant No. 91018008 ,Opening Project of Key Lab of Information Network Security, Ministry of Public Security under Crant No. C11610, Opening Project of State Key Laboratory of Information Security （Institute of Sottware, Chinese Academy of Sciences） under Cxant No. 04-04-1.
文摘The conventional ring signature schemes cannot address the scenario where the rank of members of the ring needs to be distinguished, for example, in electronically commerce application. To solve this problem, we presented a Trusted Platform Module (TPM)-based threshold ring signature scheme. Employing a reliable secret Share Distribution Center (SDC), the proposed approach can authenticate the TPM-based identity rank of members of the ring but not track a specific member's identity. A subset including t members with the same identity rank is built. With the signing cooperation of t members of the subset, the ring signature based on Chinese remainder theorem is generated. We proved the anonymity and unforgeability of the proposed scheme and compared it with the threshold ring signature based on Lagrange interpolation polynomial. Our scheme is relatively simpler to calculate.
文摘P-集合(packet sets)是由内P-集合X■(internal packet set X■)与外P-集合XF(outer packet set XF)构成的集合对;或者(X■,XF)是P-集合。P-集合具有动态特性(内P-集合具有内-动态特性,外P-集合具有外-动态特性)。P-集合在动态信息系统的多个领域中获得了应用。在一类信息系统中,这类信息系统只具有内-动态特性,不具有外-动态特性。为了研究这类只有内-动态特性的信息系统,改进并简化P-集合,提出了半P-集合(half packet sets)。半P-集合是由内P-集合X■与有限普通集合X构成的集合对,或者(X■,X)是半P-集合,半P-集合具有内-动态特性。以及半P-集合与有限普通集合的关系,以及半P-集合与P-集合的关系。利用半P-集合给出信息内-真度与信息内-真度环的概念、信息内-真度环定理以及内-信息恢复-还原的内-真度准则与内-信息恢复-还原的特征系数准则。利用这些结果,给出内-真度环在内-信息恢复-还原中的应用。半P-集合是研究一类动态信息系统的一个新的数学方法与数学模型;半P-集合在一类信息系统应用中前景看好。
文摘针对高压直流(high voltage direct current,HVDC)线路高阻接地故障时保护容易拒动的问题,提出一种基于单环定理的纵联保护方法。首先,将直流线路两侧电流突变量作为状态变量构造奇异值等价矩阵,根据单环定理进行谱分析从而实现区内外故障识别;然后,通过广义S变换提取两极电流突变量特定频段暂态能量和的比值特征进行故障选极;最后,给出了纵联保护方案。仿真验证表明,所提保护原理判据简单,易于整定,各种故障情况下均能实现快速、有选择性动作。所提方法对不良数据具有较强的免疫能力,即使在线路末端发生高阻接地等最不利于保护动作的故障情况下仍能可靠动作。
