elliptic function of the second kind

elliptic function of the second kind的基本解释

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第二类椭圆函数

与elliptic function of the second kind相关的网络例句 [注：此内容来源于网络，仅供参考]

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。

Disclosed is a leaky-wave dual polarized slot type antenna, including: first and second feeding circuit sections comprised of N-first strip lines and N-second strip lines with a loop every first period along the X-axis on the first dielectric layer and a second period along the Y-axis, in which the N-first strip lines and the N-second strip lines are parallel to each other being alternate, and each length of Ls1 and Ls2 for the first period satisfies the equation of , first and second multi-channel dividers formed at once and the other sides of the first dielectric layer, to connect the N-first strip lines and the N-second strip lines parallel with each other; and first and second central ports formed in the opposite direction of the cavity, each of the feeding circuit sections being connected to the first and second multi-channel dividers; and first and second slot sections being formed by patterning the second shielding layer, in which M-first and M-second slots are arrayed along the direction of the X-axis and each of the first and second slots forms N-row first and N-row second slot arrays, respectively, which cross the first and second strip lines for each, the first slot and the second slot being orthogonal to each other.

公开了一种漏泄波双偏振槽型天线，包括：第一和第二馈电回路部分，其具有沿着X轴在第一介电层每第一周期以及沿着Y轴的第二周期形成具有环路的N第一带状线和N第二带状线，其中N第一带状线和N第二带状线彼此平行并交替，并且对第一周期的各Ls1和Ls2的长度满足等式，第一和第二多通道分配器寻形成在第一介电层的一侧和另外一侧上，以连接彼此平行的N第一带状线和N第二带状线；以及形成在腔的相对方向中的第一和第二中心端口，每个馈电回路部分连接到第一和第二多通道分配器；以及第一和第二槽部分，所述第一和第二槽部分通过对第二屏蔽层形成模式而形成，其中M第一和M第二槽沿着X轴的方向安置，各第一和第二槽分别形成N行第一和N行第二槽阵列，其对每个横过第一和第二带状线，第一槽和第二槽彼此正交。

与elliptic function of the second kind相关的网络解释 [注：此内容来源于网络，仅供参考]

elliptic function of the second kind：第二类椭圆函数

elliptic function 椭圆函数 | elliptic function of the second kind 第二类椭圆函数 | elliptic function of the third kind 第三类椭圆函数