查询词典 elliptic cylinder function

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。

Cylinder, the cylinder sets of radial a surplus deformation of the cylinder sets a great impact on the cylinder liner reduced radial a surplus amount to reduce the deformation of the cylinder sets, the top surface of the body decreases roughness, but it will increase the body on the plane cylinder only mouth the roughness ; Preload reduced cylinder head bolt deformation of the cylinder liner little effect, the body can reduce the top surface roughness and cylinder body on the plane I ended roughness; Shen appropriate reduced cylinder head bolt hole deep can reduce the deformation of the cylinder sets, but will cause the body and the top surface roughness on the cylinder body only I roughness increases Plane .

工作工况下，对于第2缸来说，气缸套径向过盈量对气缸套变形影响很大，减小气缸套径向过盈量，有利于减小气缸套的变形，减小机体顶面不平度，但会增大机体上缸套止口平面的不平度；减小缸盖螺栓预紧力对气缸套变形影响很小，可减小机体顶面不平度和机体上缸套止口平面的不平度；适当减小缸盖螺栓沉孔深可以减小气缸套的变形，但会造成机体顶面不平度和机体上缸套止口平面不平度的增大。

Caused by disc brake on the brake Wheel Cylinder could not return to places 4 possible: First, 5 foot brake valve exhaust port blocking, high-pressure gas instinct platoon atmosphere, caused by gas-liquid master cylinder of the spring could not return to place, resulting in the system move oil, brake disc brake Wheel Cylinder Piston top dead and could not return to places; second is to the disc brake master cylinder gas-liquid pipeline blockage, resulting in brake Cylinder piston can not return to place; third master cylinder of the gas-liquid Spring itself can not return to position, brake fluid under high pressure gas can not return Axial pump to gas-liquid master cylinder reservoir chamber, resulting in brake Cylinder piston can not return to places; Fourth Wheel Cylinder piston disc brake system, due to moving fluid dirty or rusty card dead and can not return to the piston position.

造成盘式制动器上的制动分泵不能回位有4种可能：一是脚制动阀5的排气口堵塞，高压气体本能排人大气，造成气液总泵的弹簧不能回位，导致制动油将盘式制动器的制动分泵活塞顶死而不能回位；二是气液总泵至盘式制动器的油管堵塞，造成制动分泵活塞不能回位；三是气液总泵的弹簧本身不能回位，制动液在高压气体作用下，不能回到气液总泵的储油室，从而造成制动分泵活塞不能回位；四是盘式制动器制动分泵活塞由于制动液太脏或活塞生锈卡死而不能回位。

Caused by the brake disc brake on back wheel should not have four kinds of spaces possible: First, the foot brake 5 exhaust inlets, high pressure gas instinct Pai people the atmosphere, caused by gas-liquid master cylinder should not spring back to place, cause the system Oil will move the brake disc brake wheel cylinder piston top dead can not come back to places; are gas-liquid two disc brake master cylinder to the tubing plug, resulting in brake wheel cylinder piston can not come back to places; are three master cylinder of gas-liquid Can not spring back to their own spaces, brake fluid under high pressure gas, liquid should not return to the master cylinder reservoir chamber, resulting in brake wheel cylinder piston can not come back to places; are four wheel disc brake piston brake system because of moving fluid dirty or rusty Pistons Can not Back-bit card dead.

造成盘式制动器上的制动分泵不能回位有4种可能：一是脚制动阀5的排气口堵塞，高压气体本能排人大气，造成气液总泵的弹簧不能回位，导致制动油将盘式制动器的制动分泵活塞顶死而不能回位；二是气液总泵至盘式制动器的油管堵塞，造成制动分泵活塞不能回位；三是气液总泵的弹簧本身不能回位，制动液在高压气体作用下，不能回到气液总泵的储油室，从而造成制动分泵活塞不能回位；四是盘式制动器制动分泵活塞由于制动液太脏或活塞生锈卡死而不能回位。

In this year's Beijing International Machine Tool Show (2005 CMIT), the Tianjin-or gold at the full range of products, including air preparation components: regulator, filter, lubrication, drainage, pressure gauges; valve categories: Electromagnetic valve, pipe valve, pneumatic valve, mechanical valve, the valve manually, foot valve; cylinder categories: standard atmospheric pressure bars, mini round-cylinder, micro-cylinder, rotating cylinder, manipulator, welding tanks, cylinder block, a rule Cylinder, no-cylinder, guided-bars and all kinds of buffers, the appearance of refined products, a series of rich and comprehensive feature allows visitors not only praise, so that customers have a better choice.

在今年的北京国际机床展（2005CMIT）上，天津罗升展出了金器全系列产品，包括气源处理组件：调压器、过滤器、润滑器、排水器、压力表；阀类：电磁阀、管路阀、气动阀、机械阀、手动阀、脚踏阀；缸类：标准气压杠、迷你圆型缸、微型缸、旋转缸、机械手、焊接缸、阻挡缸、治具缸、无杆缸、导杆杠及各种缓冲器等，产品精致的外观、丰富的系列、全面的功能让参观者赞叹不止，让客户有了更好的选择。

To address this situation, I believe that the operation could be improved on are: the installation and adjustment of measuring, the first sub-scale do to adjust the nominal cylinder liner size, and then dial indicator card installed and well well inserted under the initial installation of the traffic card directly into the cylinder table by measuring the smallest cylinder liner wear, the cylinder table adjust the volume of the extended length of rod inserted, so that the volume of the dial indicator cylinder table has small hands around 1.5-2.0 preloading cell volume and cylinder volume table mother under lock locking plug, the final table and then measured the volume of cylinder rod and rod card inserted at the anvil micrometer measuring bar between the seat and the large dial and adjust the dial indicator to zero.

针对这种情况，笔者认为，操作上可改进为：安装和调整量具时，先将干分尺调整到气缸套的公称尺寸，再将卡装好百分表和初步安装好插杆的量缸表直接卡入所测气缸套磨损最小处，调整量缸表插杆的伸出长度，使量缸表的百分表小表针有1.5-2.0格左右的预压量并将量缸表的插杆锁母锁紧，最后再将量缸表的测杆和插杆卡在千分尺的砧座和测杆之间并将百分表的大表盘调整到零。

Engine cylinder liner of the general process of measurement are: cylinder liner according to the nominal size measuring selection, that is, sub-thousand-foot-cylinder form and quantity (including the volume of cylinder rod inserted table); installation and adjustment of measuring, that is first to adjust micrometer cylinder liner the nominal size, and then loaded card good indicator of the volume of cylinder form measuring bar and the bar card inserted in the anvil micrometer measuring bar between the seat and adjust the volume of cylinder form of extended length of rod inserted, when the dial indicator of the 1.5-2.0 cells have small hands around the amount of pre-press under lock-lock female plug, and a large dial indicator to zero adjust

发动机气缸套测量的一般过程是：根据气缸套的公称尺寸选择量具，即千分尺和量缸表；安装和调整量具，即先将千分尺调整到气缸套的公称尺寸，再将卡装好百分表的量缸表的测杆和插杆卡在千分尺的砧座和测杆之间，调整量缸表插杆的伸出长度，当百分表的小表针有1.5-2.0格左右的预压量时锁紧插杆锁母，并将百分表的大表盘调整到零

A new technique is presented for maximizing the band-edge selectivity of elliptic filters, and then the equal ripple parameter of the quasi-elliptic function can be calculated when the band-edge selectivities of the elliptic function and quasi-elliptic function are the same.

提出了标准椭圆函数的边带优化方法，在此基础上使标准椭圆函数与修正后的准椭圆函数在边带上的衰减相等，得到准椭圆函数的等波纹系数。

In this paper, we introduce the algorithm of Schoof-Elkies-Atkin to compute the order of elliptic curves over finite fields. We give out a fast algorithm to compute the division polynomial f〓 and a primitive point of order 2〓. This paper also gives an improved algorithm in computing elliptic curve scalar multiplication. Using the method of complex multiplication, we find good elliptic curves for use in cryptosystems, and implemented ElGamal public-key scheme based on elliptic curves. As a co-product, we also realized the algorithm to determine primes using Goldwasser-Kilian's theorem. Lastly, the elliptic curve method of integer factorization is discussed. By making some improvement and through properly selected parameters, we successfully factored an integer of 55 digits, which is the product of two 28-digit primes.

本文介绍了计算有限域上椭圆曲线群的阶的Schoof-Elkies-Atkin算法，在具体处理算法过程中，我们给出了计算除多项式f〓的快速算法和寻找2〓阶本原点的快速算法；标量乘法是有关椭圆曲线算法中的最基本运算，本文对[Koe96]中的椭圆曲线标量乘法作了改进，提高了其运算速度；椭圆曲线的参数的选择直接影向到椭圆曲线密码体的安全性，文中利用复乘方法构造了具有良好密码特性的椭圆曲线，并实现了椭圆曲线上ElGamal公钥体制；文中还给出了利用Goldwasser-Kilian定理和椭圆曲线的复乘方法进行素数的确定判别算法；最后讨论了利用椭圆曲线分解整数的方法并进行了某些改进，在PC机上分解了两个28位素数之积的55位整数。

It's bell can reach over a meter in diameter.

它的身体最大可以达到直径1米多。

Now they are overdue and I shall have to pay a fine.

现在他们过期了，我不得不付罚款。