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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 product include many kinds of measurement,monitoring,warining,diaplay,communication function,it can measure four quadrant reactive whole fundamental wave and time-sharing fundamental waveelectric quantity;can measure forward and reverse of the active and reactive'smaximal demand and time-sharing demand;can measure each kind of power submultiple,active power,reactive power,apparent power,and so on;can measure and record each kind of pressure loss,current loss and

本产品集各种计量、监控、报警、显示、通讯功能于一身,能计量四象限无功总基波电量及分时基波电量;能计量正反向有功和无功总最大需量及分时最大需量;能测量各相功率因数、有功功率、无功功率、视在功率等;能检测并记录各相失压、失流及三相全失压等事件;能实现远程和红外抄表、编程、监测和校准;也是电力负荷管理系统的配套终端产品。

Where is a partial loss of goods, merchandise, or other moveables, the measure of indemnity, subject to any express provision in the policy, is as follows:(1)Where part of the goods, merchandise or other moveables insured by a valued policy is totally lost, the measure of indemnity is such proportion of the sum fixed by the policy as the insurable value of the part lost bears to the insurable value of the whole, ascertained as in the case of an unvalued policy:(2) Where part of the goods, merchandise, or other moveables insured by an unvalued policy is totally lost, the measure of indemnity is the insurable value of the part lost, ascertained as in case of total loss:(3) Where the whole or any part of the goods or merchandise insured has been delivered damaged at its destination, the measure of indemnity is such proportion of the sum fixed by the policy in the case of the valued policy, or of the insurable value in the case of an unvalued policy, as the difference between the gross sound and damaged values at the place of arrival bears to the gross sound value:(4)"Gross value" means the wholesale price, or, if there be no such price, the estimated value, with, in either case, freight, landing charges, and duty paid beforehand; provided that, in the case of goods or merchandise customarily sold in bond, the bonded price is deemed to be the gross value.

货物、商品或者其他动产发生部分损失的,除保险单另有明文规定外,赔偿范围如下:(1)如果定值保险单承保的货物、商品或者其他动产的一部分发生全损,赔偿范围为保险单确定的保险金额中的比例部分,该比例为灭失部分的可保价值占全部可保价值的比例部分。可保价值的确定与不定值保险相同;(3)若不定值保险单承保的货物、商品或者其他动产的一部分发生全损,赔偿范围为损失部分的可保价值,可保价值的确定与全损时相同;(4)如果被保险货物或商品的全部或者一部分以受损状态运抵目的地,赔偿范围以完好毛值与受损价值的差额占完好毛值的比例计算,在定值保险单情况下,是保险单确定的金额的该比例部分,或者,在不定值保险单情况下,是可保价值的该比例部分;(5)"毛值"是指货物的批发价格,如果没有这种价格,则是货物的估计价值,不论哪一种情况,再加上已预先付讫的运费、卸货费和关税之后的价值;但是,如果货物或商品按惯例在关仓出售,那么关仓价格就视为毛值。

The measure unit adopts RENISHAW LP2DD probe. HEIDENHAIN linear and round encoders of the machine can as position feedback element. The measure system uses interruptive function of CNC system. When the probe is touched, CNC system will receive a interruptive signal and memory current coordinate position of CNC axes automatically, then after software deals with these information, the real measure data will be got. Compared with theory data, measure error data will be gained.

测量单元采用雷尼绍的LP2DD测头,用机床本身的反馈元件HEIDENHAIN的直线光栅和圆光栅作为位置反馈元件,利用数控系统的中断,当测头被触发时,给数控系统一个中断信号,数控系统自动记忆当前的数控轴的坐标位置,然后经过后续软件处理,得到实际测量值,再与理论值进行比较,得到测量误差值。

The methods to measure similarity between XML documents, such as set measure, linear measure and cost measure, are given.

给出规范化XML文档相似性度量方法——集合度量方法、线性度量方法和代价度量方法。

To measure the resistance of Contact 1, close both Chs. 1 and 21, then measure the resistance with the ohmmeter. To measure Contact 2, open Chs. 1 and 21, close Chs. 2 and 22, then measure the resistance again.

若要测量触点1的电阻,需要闭合通道1和21,然后利用欧姆表测量电阻;若要测量触点2,需要开路通道1和21,闭合通道2和22,然后再次测量电阻。

E. local angle measure, local area measure, local ratio measure of arc to chord length, and local ratio measure of perpendicular distance to chord length.

该文简要回顾了现有的一些节点重要性度量方法,即角度度量法、面积度量法、弧比弦度量法和垂比弦度量法,指出其局限性。

It is reported, measure of safe protection technology includes safe audit measure, prevent virus, defend attack technology measure, important database and systematic equipment back up redundantly measure.

据悉,安全保护技术措施包括安全审计措施,防病毒、防攻击技术措施,重要数据库和系统设备冗余备份措施等。

Bill call in it 《 breach the succour measure of contract 》 one text, for particular implement of the restriction order of order or order type, only under the circumstance that indemnification isn't a kind of full of succour measure, square can make;Under the circumstance that make up for loss a rightness is at first likely to be a kind of full succour measure, the court be not quasi- to compulsive the other party for special implement, this is one regulation rule;Order type restriction order have to also under the circumstance that indemnification gold isn't a kind of full succour measure is just made by court.

比尔在其《违反合同的救济措施》一文中称,为特定履行的命令或命令式的禁令,只有在赔偿不是一种充分的救济措施的情况下,方可作出;在赔偿损失对原先可能是一种充分救济措施的情况下,法院不会准予强制对方为特别履行,这是一条规则;命令式禁令也必须在赔偿金不是一种充分救济措施的情况下才由法院作出。

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。

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相关中文对照歌词
Measure Of A Man
You Can't Measure The Cost
Beyond Measure
Made To Measure
Measure For Measure
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