查询词典 linear correlation

This dissertation investigates the construction of pseudo-random sequences (pseudo-random numbers) from elliptic curves and mainly analyzes their cryptographic properties by using exponential sums over rational points along elliptic curves. The main results are as follows:(1) The uniform distribution of the elliptic curve linear congruential generator is discussed and the lower bound of its nonlinear complexity is given.(2) Two large families of binary sequences are constructed from elliptic curves. The well distribution measure and the correlation measure of order k of the resulting sequences are studied. The results indicate that they are "good" binary sequences which give a positive answer to a conjecture proposed by Goubin et al.(3) A kind of binary sequences from an elliptic curve and its twisted curves over a prime field F_p. The length of the sequences is 4p. The "1" and "0" occur almost the same times. The linear complexity is at least one-fourth the period.(4) The exponential sums over rational points along elliptic curves over ring Z_ are estimated and are used to estimate the well distribution measure and the correlation measure of order k of a family of binary sequences from elliptic curves over ring Z_.(5) The correlation of the elliptic curve power number generator is given. It is proved that the sequences produced by the elliptic curve quadratic generator are asymptotically uniformly distributed.(6) The uniform distribution of the elliptic curve subset sum generator is considered.(7) We apply the linear feedback shift register over elliptic curves to produce sequences with long periods. The distribution and the linear complexity of the resulting sequences are also considered.

本文研究利用椭圆曲线构造的伪随机序列，主要利用有限域上椭圆曲线有理点群的指数和估计讨论椭圆曲线序列的密码性质——分布、相关性、线性复杂度等，得到如下主要结果：(1)系统讨论椭圆曲线-线性同余序列的一致分布性质，即该类序列是渐近一致分布的，并给出了它的非线性复杂度下界；(2)讨论两类由椭圆曲线构造的二元序列的&良性&分布与高阶相关性(correlation of order κ)，这两类序列具有&优&的密码性质，也正面回答了Goubin等提出的公开问题；(3)利用椭圆曲线及其挠曲线构造一类二元序列，其周期为4p(其中椭圆曲线定义在有限域F_p上)，0-1分布基本平衡，线性复杂度至少为周期的四分之一；(4)讨论了剩余类环Z_上的椭圆曲线的有理点的分布估计，并用于分析一类由剩余类环Z_上椭圆曲线构造的二元序列的伪随机性；(5)讨论椭圆曲线-幂生成器序列的相关性及椭圆曲线-二次生成器序列的一致分布；(6)讨论椭圆曲线-子集和序列的一致分布；(7)讨论椭圆曲线上的线性反馈移位寄存器序列的分布，线性复杂度等性质。

Using the theories of probability, algebra and spectral theory comprehensively, we investigate some related characteristics of logic functions in cryptography: Firstly, we introduce m order generalized s - correlation immunity of Boolean vector functions and prove that the higher order generalized ε- correlation immunity can guarantee the lower order generalized ε- correlation immunity. Then by applying decomposition formula of joint distribution of Boolean random vectors, we give a spectrum criterion of m order generalized e - correlation immunity of Boolean vector functions. Furthermore, we show that the algebraic degree of m order generalized e - correlation immune Boolean vector functions is not restricted by the correlation immune orders.

本文主要运用概率论的思想和方法，并结合代数学和频谱理论的相关知识，对密码学中逻辑函数的有关性质进行了研究，主要包括以下三个方面的内容：首先，对布尔向量函数的相关免疫性进行了拓展，给出了k维布尔向量函数m阶广义ε-相关免疫的概念，证明了布尔向量函数的高阶广义ε-相关免疫性蕴含低阶广义ε-相关免疫性，并根据布尔随机向量联合分布分解式得到了布尔向量函数m阶广义ε-相关免疫的一个谱判别条件，还说明了m阶广义ε-相关免疫布尔向量函数的代数次数不受相关免疫阶数的制约。

Abstract〕similar to regression analysis,cluster analysis,etc.,correlation analysis is also the basic work for information researches.canonical correlation analysis can be used to analyze the relationship between two groups of variables,and thus worth for using in information science.method of canonical correlation analysis was presented in present study.a java-based network algorithm of canonical correlation analysis was developed,which can be used to calculate the canonical correlation coefficients,canonical variable pairs,and statistical significance of canonical correlation coefficients.the algorithm may be run on java-compatible web browser.at the same time,paper publishing information and citation statistics in information science of china in past years were analyzed using the algorithm,and a number of conclusions were drawn.

摘 要〕与因果分析等一样，相关分析也是信息资料分析的基本工作。典范相关分析用于分析两组变量之间的关系，在情报信息的相关性分析方面有潜在的应用价值。本研究介绍了典范相关分析方法，给出了典范相关分析的java网络算法软件，可用于计算典范相关系数，典范变量对，以及典范相关系数的统计显著性。该软件可在兼容java的网络浏览器上运行。同时，用该算法对国内情报信息论文的发文和引文统计数据进行了分析，得到了一些结论。

1、Neural network correlated with LIFG and RIFG exists in normal subjects in resting-state,which might be the neural foundation in retaining the normal language function;2、The left fusiform gyrus,bilateral medial frontal gyrus and right anterior cingulum in aphasia patients after stroke showed low degree correlation,that might be one of the mechanisms of aphasia;3、The brain regions showed positive correlation with RIFG in aphasia patients only exist in right hemisphere in resting-state as well as which exist in bilateral hemisphere in normal subjects,suggested that RIFG is out of correlation with the left hemisphere in aphasia patients;4、The left thalamus showed positive correlation with RIFG only in normal subjects, inferred that the left thalamus might be an important mesomerism structure in the correlation of bilateral hemisphere;5、Left insula showed stronger positive correlation with RIFG in normal subjects than that in aphasia patients,suggested that dominant hemisphere insula is important in retaining in normal language function.

1、正常人在静息状态下即存在与LIFG和RIFG具有相关性的神经网络，该网络可能是维持正常语言功能的神经基础；2、脑梗死后运动性失语患者左侧梭状回、双侧额叶内侧回、右侧前扣带与LIFG的连接程度的减低可能是运动性失语的发生机制之一；3、与RIFG正相关的脑区在对照组为双侧半球分布，而在患者组仅出现在右侧半球，说明患者组RIFG与左侧半球的连接中断；4、RIFG与左侧丘脑的正相关性仅出现在正常对照组中，推测左侧丘脑可能是联系两侧半球功能区的重要中介结构；5、对照组与RIFG正相关性明显高于患者组的脑区位于左侧岛叶，说明优势半球岛叶对维持正常语言功能具有重要作用；第二部分脑梗死运动性失语患者语言恢复机制的静息态fMRI初步探讨目的：运用fMRI技术，采用种子点方法在静息状态下分析脑梗死运动性失语患者不同的恢复阶段语言功能连接方式。

A strata correlation method by integrating autocyclicity sediment correlation, key surface correlation, corrading stream correlation, reservoir fluid correlation and microfacies sequence correlation was presented and successfully applied in Palogue Oilfield of Sultan.

并根据地层特点，对各类方法进行选择，提出了在高分辨率框架内，采取沉积自旋回对比、关键界面约束对比、河流切割和充填对比、储层流体性质对比和沉积微相相序对比等多种对比相结合的方法。

Along with the fluconazole solution density rise,the experimental two kind of strain various glucose density is higher,showe d the glucose consumption are less,takes the logarithmof the medicine de nsity,discovered the logarithm the medicine density and each glucose den sity presents the linear relations;Carries on the analysis comparison to under the fluconazole function two kind of strain linear relations,disc overed the relations of the two strains has the nonuniformity.3 Compare the fluconazole induction reaiatance SC5314 strain and sens itive strain compares,its difference gene expression mainly concentrates in:The code proteinase body and the protein hydroltyic enzyme gene,in the code sugar fat metabolism process is connected the protein gene,the cell cycle correlation gene,the duplication and the translation adjustme nt correlation gene,the stress response correlation gene,the line plast ochondria correlation gene,the cell wall function related gene.4 Candida albicans SC5314 induction resiatance strain was processed b y Xianglian solution,its expression change gene mainly is:Code stress re sponse family protein gene,biomembrane relevant gene,a code proteinase body gene race,code cell cycle related protein gene,duplication and tra nslation adjustment related protein gene.5 The clinical reaiatance strain Candida albicans was processed by Xi anglian solution,its expression change gene mainly is:Codes the hot sho ck protein gene,the serine/threonine protein activating enzyme gene,the proteinase body family gene,the regulation copies and translates the ge ne.

随着氟康唑药液的浓度上升，试验的两种菌株各孔葡萄糖浓度越高，说明葡萄糖消耗越少，经过药物浓度取对数后进行分析，发现取对数后的药物浓度和每孔中葡萄糖浓度者呈现线性关系；对氟康唑作用下的两种菌株的线性关系进行分析比较，发现对两种菌株作用具有不一致性。3氟康唑诱导的耐药SC5314菌株与诱导前的敏感株相比，其差异基因表达主要集中在：编码蛋白酶体及蛋白水解酶的基因，编码糖脂代谢过程中相关蛋白的基因，细胞周期相关基因，转录及翻译调节相关基因，应激反应相关基因，线粒体相关基因，细胞壁功能相关基因。4白念珠菌SC5314诱导耐药株经香莲外洗液作用后，其表达变化的基因主要是：编码应激反应家族蛋白的基因，生物膜相关性基因，编码蛋白酶体基因一族，编码细胞周期相关蛋白基因，转录及翻译调节的相关蛋白基因。5白念珠菌临床耐药菌株经香莲外洗液作用后，其表达变化的基因主要是：编码热休克蛋白基因，丝氨酸/苏氨酸蛋白激酶基因，蛋白酶体家族基因，调控转录及翻译基因。

Linear Algebra is mainly a subject which studies the linear structure of finite dimensional linear space and its linear transformation while linear concept is in itself from the old Euclid Geometry. The concept of "Linear Space" is a kind of algebraic abstract. In many fields of modern engineering project and technology, because of the influence of computer and graph showing, the algebraic disposal of geometric questions, the visual disposal of algebraic questions, algebra and geometry are tightly combined.

线性代数主要是研究有限维线性空间及其线性变换这一代数结构的学科，而线性概念究其根源则是来自古老的Euclid几何，线性空间概念是几何空间的一种代数抽象，在现代工程技术的许多领域里，由于计算机及图形显示的强大威力，几何问题的代数化处理，代数问题的可视化处理，把代数与几何更加紧密地结合在一起。

The main contributions of the second part of this dissertation are focused on the cryptographic properties of logical functions over finite field, with the help of the properties of trace functions, and that of p-polynomials, as well as the permutation theory over finite field: The new definition of Chrestenson linear spectrum is given and the relation between the new Chrestenson linear spectrum and the Chrestenson cyclic spectrum is presented, followed by the inverse formula of logical function over finite field; The distribution for linear structures of the logical functions over finite field is discussed and the complete construction of logical functions taking on all vectors as linear structures is suggested, which leads to the conception of the extended affine functions over finite field, whose cryptographic properties is similar to that of the affine functions over field GF (2) and prime field F〓; The relationship between the degeneration of logical functions and the linear structures, the degeneration of logical functions and the support of Chrestenson spectrum, as well as the relation between the nonlinearity and the linear structures are discussed; Using the relation of the logical functions over finite field and the vector logical functions over its prime field, we reveal the relationship between the perfect nonlinear functions over finite field and the vector generalized Bent functions over its prime field; The existence or not of the perfect nonlinear functions with any variables over any finite fields is offered, and some methods are proposed to construct the perfect nonlinear functions by using the balanced p-polynomials over finite field.

重新定义了有限域上逻辑函数的Chrestenson线性谱，考察了新定义的Chrestenson线性谱和原来的Chrestenson循环谱的关系，并利用一组对偶基给出了有限域上逻辑函数的反演公式；给出了有限域上随机变量联合分布的分解式，并利用随机变量联合分布的分解式对有限域上逻辑函数的密码性质进行了研究；给出了有限域上逻辑函数与相应素域上向量逻辑函数的关系，探讨了它们之间密码性质的联系，如平衡性，相关免疫性，扩散性，线性结构以及非线性度等；讨论了有限域上逻辑函数各类线性结构之间的关系，并给出了任意点都是线性结构的逻辑函数的全部构造，由此引出了有限域上的"泛仿射函数"的概念；考察了有限域上逻辑函数的退化性与线性结构的关系、退化性与Chrestenson谱支集的关系；给出了有限域逻辑函数非线性度的定义，利用有限域上逻辑函数的非线性度与相应素域上向量逻辑函数非线性度的关系，考察了有限域上逻辑函数的非线性度与线性结构的关系；利用有限域上逻辑函数与相应素域上向量逻辑函数的关系，揭示了有限域上的广义Bent函数与相应素域上的广义Bent函数的关系，以及有限域上的完全非线性函数与相应素域上向量广义Bent函数之间的关系；给出了任意有限域上任意n元完全非线性函数存在性与否的完整证明，并利用有限域上平衡的p-多项式的性质给出了有限域上完全非线性函数的一些基本构造方法。

The representation of sequences is very helpful for the research of their linear complexity,so this paper we first research trace representation of periodic sequences,and the trace representation of a New Generalized Cyclotomic Sequence of order two of length pq is given,then for 2~mp~n period binary sequences,where p is an odd prime and 2 is a primitive root modulo p~2,we present a relation-ship between the linear complexity and the minimum value k for which the k-error linear complexity is strictly less than the linear complexity and have the upper bound and lower bound of the value k, finally we discuss the k-error linear complexity of legendre sequences,also have the upper bound and lower bound of the value k,and discusses the situation where the linear complexity drop again for some Legendre sequences.

序列的表达形式对于其线性复杂度的研究是十分有帮助的，本文我们首先研究的是周期序列的迹表示，给出了2阶pq长度的扩展分圆序列的迹表示，然后讨论了周期为2~mp~n(m≥2)序列的线性复杂度与使得线性复杂度变小的最小的k值的关系，给出了k值的上界和下界，这里p为奇素数，2是模p~2的本原根，并通过例子讨论了其线性复杂度的稳定性，最后对Legendre序列k-错线性复杂度进行了分析，也给出了k值的上界和下界，并对某些Legendre序列讨论了线性复杂度再次下降的情况。

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Metrorrhagia is also gynaecological problems of common diseases.

崩漏是妇科常见病也是疑难症。

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wordftp让您的方便和省时您所需要的。