查询词典 binary arithmetic

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。

The general decoding method for Turbo codes provided by the invention adopts enhanced Max-Log-MAP algorithm, makes use of Max-Sum semiring property in the generalized distribution law and combines and simplifies measure and calculation of forward and backward status of traditional binary Turbo codes, which means combining grid graph of traditional binary Turbo codes in nature to ensure that the status measure and calculation of the traditional binary Turbo codes have the same calculation expression way with that of the duobinary Turbo codes so that a general decoding device can both decode the traditional binary Turbo codes and duobinary Turbo codes.

本发明提出的Turbo码通用译码方法采用增强型Max-Log-MAP算法，利用广义分配率中的Max-Sum半环性质，对传统二进制Turbo码的前向和后向状态度量计算进行合并简化，从本质上也就是对传统二进制Turbo码的网格图进行合并，使得传统二进制Turbo码的状态度量具有和双二进制Turbo码一样的计算表达方式，从而使得通用译码装置对于传统二进制Turbo码和双二进制Turbo码都可实现。

Definition of tree ADT, FirstChild-NextSibling Representation, Tree traversals, Applications of trees, Definitions and properties of binary trees, Traversal of trees, Recursive functions of trees, Threaded binary trees, Binary search trees, AVL trees, Splay trees, B-trees, Application of binary trees.

树的定义，树的兄弟表示法，树的遍历，树的应用；二叉树的定义和基本特性，遍历二叉树，二叉树的递归操作，线索二叉树；二叉排序树，平衡二叉树，Splay树，B-树，二叉树应用。

And another construction methods for perfect and quasi-perfect binary array pairs are presented with the help of the relationships among the perfect, quasi-perfect and double quasi-perfect binary array pairs. On the other hand, a new kind of discrete signal is presented in this paper, which is the punctured binary sequence pair and the punctured binary array pair.

另一方面，本文提出了一种新的离散信号，即屏蔽二进序列偶和阵列偶，建立了完整的屏蔽二进序列偶和阵列偶的理论体系，它包括最佳屏蔽二进序列偶理论、最佳屏蔽二进阵列偶理论、准最佳和双准最佳屏蔽二进阵列偶理论，以及屏蔽二元互补序列偶理论。

With the help of these conditions, computer efficiently searches out many quasi-perfect and double quasi-perfect punctured binary array pairs. The relationships among perfect punctured binary array pair, quasi-perfect and double quasi-perfect punctured binary array pair is presented. Specially, when first and second dimension period of the punctured binary ar

定义了非周期屏蔽二元序列偶的自相关函数、屏蔽二元互补序列偶和最佳屏蔽二元互补序列偶，给出并证明了屏蔽二元互补序列偶的变换性质；和它存在的组合允许条件，用计算机搜索出若干最佳屏蔽二元互补序列偶；给出了屏蔽二元互补序列构造出新的屏蔽二元互补序列偶的四种构造方法；并且，给出了利用不同长度的二元互补序列和屏蔽二元互补序列偶构造出新的屏蔽二元互补序列偶的四种构造方法。

In this thesis, the basic arithmetic of PIV software - cross-correlation arithmetic is introduced in detail, During the data process, through processing the two sequential images by the cross-correlation arithmetic, the vector charts of particles velocity can be obtained, so is the chart of absolute velocity, with velocity decomposed into the radial velocity and axial velocity.

本文对试验所获得的连续图像通过互相关算法，获得颗粒速度矢量图，并将速度分解为径向速度和轴向速度，对每一小区域内的颗粒按速度方向不同进行速度平均，获得颗粒的平均速度分布曲线。

We have accomplished under mentioned arithmetic in the project, which are the wavelet zero tree coding arithmetic based on difference signal and the non compression arithmetic based on the integer wavelet transform of interested area. We have achieved the huge amount of data processing and storing in real time、high speed and multi-channel.

完成了基于差分信号的小波零树编码算法和基于感兴趣区域整数小波变换的无损压缩算法，实现了高速、多通道、在线实时信号的处理存储。

using the c language programming to be in progress when secretly scheming against often may produce problem because of not paying attention to a type change , when using the division arithmetic magic figure especially, change , lead to thereby arithmetic result block of wood rightness or insufficient problems of accuracy often because of not paying attention to the arithmetic data type.

使用c语言编程进行计算的时候常常会因为不注意类型转换产生问题，尤其是在使用除法运算符"/"的时候，经常因为没有注意运算数据类型转换，从而导致运算结果不正确或着说是精度不够的问题。

First the math theory of machining simulation is studied, and the set structure of NC machining simulation system whose components, including time, input, output and so on, are defined. Hereby we set up the hierarchy structure, the logical structure, the static model and the dynamic model of simulation system. The construction method of sweep entity of cutter and rotation parts is researched, and their differential geometry invariants are calculated. NC code is unscrambled, and the recursion division arithmetic of time segment is put forward, which is the driven data of the movement or rotation parts. The CLDATA should be interference-free. To examine if there is interference between cutter flank and the work piece, an arithmetic that discussed the existence of intersecting curve between them is put forward. To examine if there is interference between two turrets, an arithmetic that discussed the existence of intersection set between two polygons is put forward.

首先研究加工过程仿真的数学基础，然后定义数控加工仿真系统的集合结构及时间集、输入集、输出集等概念，建立加工仿真的层次结构和逻辑结构，阐述双刀车削仿真系统的静态模型和动态模型建立方法，分析刀具扫描体和旋转部件扫描体的建立方法及其微分几何性质；研究NC代码解读技术和双刀加工时间段递归子分划技术，为驱动各仿真单元作数据准备；通过讨论后刀面和工件表面交线的存在性判断刀具后刀面与工件间是否干涉，通过求多边形的交集判断刀架与刀架是否干涉。

The disquisition brings forward three principle in combination arithmetic designing and combination arithmetic choice. There is currency, countability and less information redundancy. And the disquisition analyses the relation of them. The three principle is the dominant ideology in combination arithmetic designing.

组合算法的选择与应用组合算法评价依据复杂性选择应用本文提出了在组合算法设计和组合算法选择方面所应当遵循的三个原则，即通用性、可计算性和较少的信息冗余量，并初步分析了它们之间的相互关系。

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我们完全可以满足你方的需求。

We are all pervade d with a sense of disaster.

我们普遍有大祸降临的感觉。