This paper design the P-permutation with cryptologic properties beyond certain bound based on BCH code and Goppa code, which is the generalization of the design method utilizing the maximum distance separable （MDS） ...This paper design the P-permutation with cryptologic properties beyond certain bound based on BCH code and Goppa code, which is the generalization of the design method utilizing the maximum distance separable （MDS） code, and presents the novel algorithms to generate the P-permutations with the branch number no less than a preset low bound. The new generation algorithms provide a theoretical basis for automation design of the cryptosystem.展开更多
The conception of orthomorphism has been generalized in this paper, and a counting formula on the generalized linear orthomorphism in the vector space over the Galois field with the arbitrary prime number p as the cha...The conception of orthomorphism has been generalized in this paper, and a counting formula on the generalized linear orthomorphism in the vector space over the Galois field with the arbitrary prime number p as the characteristic is obtained. Thus, the partial generation algorithm of generalized linear orthomorphism is achieved. The counting formula of the linear orthomorphism in the vector space over the finite field with characteristic 2 is the special case in our results. Furthermore, the generalized linear orthomorphism generated and discussed in this paper can gain the maximum branch number when they are designed as P-permutations.展开更多
文摘气溶胶时空变化是影响气溶胶气候效应不确定性的主要因素之一.在生态环境脆弱的中亚五国(哈萨克斯坦、乌兹别克斯坦、土库曼斯坦、吉尔吉斯斯坦和塔吉克斯坦)研究气溶胶光学厚度(Aerosol Optical Depth,AOD)的时空变化对中亚地区及全球生态环境和气候变化具有重要意义.基于2002—2019年MODIS 04_L2气溶胶产品数据集,利用标准差椭圆(Standard Deviation Ellipse,SDE)、加权回归的季节趋势分解(Seasonal Trend Decomposition Procedure based on Loess,STL)和奇异值分解(Singular Value Decomposition,SVD)等方法,在时间和空间两个维度上揭示了中亚五国AOD和气溶胶细模态比例(Aerosol Fine Mode Fraction,FMF)的时空演变特征,以及AOD对气象因子和土地利用/土地覆被变化(Land Use/Cover Change,LUCC)的响应.结果表明:①中亚五国AOD分布呈现出显著的空间异质性,高值区主要集中于咸海区域和费尔干纳盆地,低值区主要分布于海拔相对较高的山区和丘陵;AOD年平均中心在2009年之前分布于中亚东南部,受咸海盐尘的影响,2010年之后偏向于西北部向咸海附近移动.②2002—2019年中亚五国AOD年均值整体呈先增长后下降的态势,2012年达到最大值.③中亚地区AOD的变化受气温、降水、风速的共同影响,AOD与气温的空间变化特征呈基本一致的态势,但与降水和风速存在一定差异;不同土地覆被区对AOD的影响差异显著,城市建设用地、裸地及水域是AOD高值分布区,低值分布于郁闭灌木丛和混杂林等植被覆盖度高的土地利用/土地覆被区.④气溶胶细模态比例(FMF)空间分布格局由自然和人为因素共同作用,呈现出咸海和沙漠区域附近以粗模态气溶胶为主,人口密集区和工业区以细模态粒子占主导地位.
基金Supported by the National Natural Science Foundation of China (60673071, 60970115, 60970116)
文摘This paper design the P-permutation with cryptologic properties beyond certain bound based on BCH code and Goppa code, which is the generalization of the design method utilizing the maximum distance separable （MDS） code, and presents the novel algorithms to generate the P-permutations with the branch number no less than a preset low bound. The new generation algorithms provide a theoretical basis for automation design of the cryptosystem.
基金Supported by the National Natural Science Foundation of China (60970115, 91018008)
文摘The conception of orthomorphism has been generalized in this paper, and a counting formula on the generalized linear orthomorphism in the vector space over the Galois field with the arbitrary prime number p as the characteristic is obtained. Thus, the partial generation algorithm of generalized linear orthomorphism is achieved. The counting formula of the linear orthomorphism in the vector space over the finite field with characteristic 2 is the special case in our results. Furthermore, the generalized linear orthomorphism generated and discussed in this paper can gain the maximum branch number when they are designed as P-permutations.
