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11阶幻方与等幂和
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作者 张在明 《玉溪师范学院学报》 2020年第3期1-5,共5页
推介两个漂亮的11阶完美幻方,利用对称化得到26组等幂和代数恒等式.
关键词 11阶完美对称幻方 等幂和 对称化 恒等式
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A Block Cipher Algorithm Based on Magic Square for Secure E-bank Systems
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作者 Farah Tawfiq Abdul Hussien Abdul Monem S.Rahma Hala Bahjat Abdul Wahab 《Computers, Materials & Continua》 SCIE EI 2022年第10期1329-1346,共18页
Nowadays the E-bank systems witnessed huge growth due to the huge developments in the internet and technologies.The transmitted information represents crucial information that is exposed to various kinds of attacks.Th... Nowadays the E-bank systems witnessed huge growth due to the huge developments in the internet and technologies.The transmitted information represents crucial information that is exposed to various kinds of attacks.This paper presents a new block cipher technique to provide security to the transmitted information between the customers and the ebank systems.The proposed algorithm consists of 10 rounds,each round involves 5 operations.The operations involve Add round key,Sub bytes,Zigzag method,convert to vector,and Magic Square of order 11.The purpose of this algorithm is to make use of the complexity of the Magic Square algorithm,the speed of addition operation,the confusion provided by the zigzag,using these operations with Galois field 28 GF(28),and repeating these operations for several rounds to build fast high secure encryption algorithm.This algorithm is designed to provide fast with high complexity and security which is suitable to encrypt the data that is transmitted over the internet.Speed,complexity,and The National Institute of Standards and Technology Framework NIST suite tests were done.The complexity of the proposed algorithm is=((256)32)r+1∗((256)89)r+1+(256)121.The proposed technique gives higher speed and security in the encryption and decryption phases,according to the results of the experiments.The degree of randomness has grown by 31.8 percent.Due to a decrease in the time of encrypting and decrypting,as well as the usage of the central processing unit(CPU),efficiency is improved.The encryption process throughput is enhanced by 13%,while the decryption process throughput is increased by 11.6 percent with the recommended approach. 展开更多
关键词 Block cipher magic square order 11 COMPLEXITY NIST suite ZIGZAG GF(28) MS11
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可见光谱结合偏最小二乘法对混合染料浓度的同时测定 被引量:7
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作者 李健 粟晖 姚志湘 《天津工业大学学报》 CAS 北大核心 2011年第5期38-41,共4页
采用偏最小二乘法建立测定混合染料浓度的可见光谱定量分析模型,应用多种光谱预处理方法对光谱进行信息提取和分析,分别建立定量分析模型;讨论了光谱的预处理方法和主成分数对PLS模型定量预测能力的影响;比较各个模型的内部交互验证均... 采用偏最小二乘法建立测定混合染料浓度的可见光谱定量分析模型,应用多种光谱预处理方法对光谱进行信息提取和分析,分别建立定量分析模型;讨论了光谱的预处理方法和主成分数对PLS模型定量预测能力的影响;比较各个模型的内部交互验证均方根误差(RMSECV),校正均方根残差(RMSEC),校正相关系数R,预测均方根误差(RMSEP)选取最优模型.结果表明:所建立的校正模型稳健性好和预测精度高,为混合染料浓度的快速、准确和同时测定提供了新的途径,对于连续在线监测混合染料浓度具有指导意义. 展开更多
关键词 可见光谱 偏最小二乘法 混合染料 染料浓度 光谱预处理 直接黄R 直接湖蓝5B 直接大红F3B
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基于二次型规划考虑网络丢包的鲁棒状态估计
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作者 王中杰 易总根 《同济大学学报(自然科学版)》 EI CAS CSCD 北大核心 2012年第6期942-948,共7页
提出一种可以体现网络丢包的离散时间线性时不变状态空间模型,并将鲁棒状态估计的问题转化为向量优化问题.为了能够快速有效地对该问题进行求解,通过标量化方法将向量优化问题转化为普通的标量二次型规划问题,然后将状态估计问题转化为... 提出一种可以体现网络丢包的离散时间线性时不变状态空间模型,并将鲁棒状态估计的问题转化为向量优化问题.为了能够快速有效地对该问题进行求解,通过标量化方法将向量优化问题转化为普通的标量二次型规划问题,然后将状态估计问题转化为对标准l1正则化最小平方问题的求解.结合Kalman滤波的更新过程,提出了能够适用于具有数据包丢失情况下的鲁棒状态估计算法,通过仿真实验验证了算法的有效性. 展开更多
关键词 鲁棒状态估计 网络丢包 二次型规划 l1正则化最小平方
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A Fixed Point Method for Convex Systems
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作者 Morteza Kimiaei Farzad Rahpeymaii 《Applied Mathematics》 2012年第10期1327-1333,共7页
We present a new fixed point technique to solve a system of convex equations in several variables. Our approach is based on two powerful algorithmic ideas: operator-splitting and steepest descent direction. The quadra... We present a new fixed point technique to solve a system of convex equations in several variables. Our approach is based on two powerful algorithmic ideas: operator-splitting and steepest descent direction. The quadratic convergence of the proposed approach is established under some reasonable conditions. Preliminary numerical results are also reported. 展开更多
关键词 CONVEX EQUATIONS Least squares -regularization Problems Fixed POINT Quadratically CONVERGENCE
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