查询词典 binary field

Meanwhile, I have generalized the concept of trinomial property of sequence from binary case to arbitrary finite field case, and have proved that all the results in binary case are still hold in arbitrary finite field case.

同时，本文将三项式对的概念从二元序列推广到任意有限域上的序列，并证明了对二元序列成立的所有结果对一般有限域上的序列仍然成立。

Subwavelength binary optical elements, because of the special property traditional optical elements do not possess, expands the applied field of binary optical elements.

亚波长结构的二元光学器件，由于具有一些传统光学元件所不具备的特殊性质，因而扩展了二元光学器件的应用领域。

Though some soft-decision algorithms for binary finite field have existed, non-binary finite field is seldom concerned.

此外虽然已经存在多种软判决方法，但都是针对二进制情况，没有考虑到非二进制的RS码。

Next it gives out some prove and illustrations to the algorithms used in the hardware design, aiming at each calculation modules referred in ECC., which concludes the basic mathematic calculation over binary field and the point multiplication algorithm over elliptic curve.

接下来我们会针对ECC中涉及的各个运算模块，对硬件设计中所用到的一些特殊算法给出相应的证明或者说明，这包含一些二元域上的基本数学运算算法和椭圆曲线上的点乘算法。

The correlation between short period and weak magnetic field of binary pulsar and millisecond pulsar implies that these pulsars are the recycled pulsars of existing binary accretion process.

双星脉冲星和毫秒脉冲星的短周期和弱磁场相关性暗示这些脉冲星是存在双星吸积过程的反加速脉冲星。

As to the Boolean Function in binary field, We studied its Non-linearity, Linearity Structure, Output Bit Independence Criterion, Balance, Completeness, Strict Avalanche Criterion, Propagation Criterion, Correlation Immunity, Linear Approximation Table and XOR Distribution Table .

对于二元域上的布尔函数主要讨论了其非线性性、线性结构、比特独立准则、平衡性、完整性、雪崩准则、传播准则、相关免疫性、线性分布表及异或分布表等特性。

To fulfill a TV guidance system task of fast recognizing and tracking missile target from sequential images including multiple interferences,a fast segmentation and target characteristic extraction algorithm of sequential images based on binary image index map was proposed.After the sequential images were processed to binary images,a Field Programmable Gate Array was used to scan the binary image once and an index map was built,and then Digital Signal Processing was used to scan the index map once.

针对电视制导系统需从包含多个干扰目标的序列图像中快速识别和跟踪导弹目标的要求，提出了一种基于二值图像索引图的序列图像快速分割及目标特征提取算法，在序列图像二值化后，只需由FPGA对其遍历一次就可得到一张含有目标信息的索引图表，再由DSP对该索引图表边遍历边计算就可得到图像所含目标的数量、面积、质心坐标、二阶矩不变量等特征。

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。

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。

Three full-sibling binary CMS lines, 11 back-cross binary CMS lines, 10 half-sibling binary CMS lines, 10 isozygoty CMS lines and five restorer lines were chosen to make 50 single hybrids and 120 modified single cross hybrids by the way of NC Ⅱ design. The plots of F1 were arranged in the field in a randomized complete block design with 2 replications and the combining ability of 7 characters were analyzed using random model.

利用3个全同胞型二元不育系、11个回交型二元不育系和10个半同胞型二元不育系及其10个亲本纯合不育系，分别与南恢04、明恢86、辐恢838、先恢207和密阳46等5个恢复系按照NCⅡ交配设计配制了50个单交种和120个改良单交种，按随机区组的随机模型分析方法，对二元不育系主要性状进行了配合力分析。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。