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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。

Turn over, tip over, tump over同义词:tip over, turn over, upset, knock over, bowl over, tump over同义词:overrule, override, overthrow, reverse4. cause the downfall of; of rulers同义词:overthrow, subvert, bring down同义词:revoke, annul, lift, countermand, reverse, repeal, rescind, vacate

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The Joseph father advantage takes a bath the number of times are not many, the approximately 23 weeks only then flush one time then to be possible, but the pet owner cannot be therefore loaf, still importantly recorded scratches every day for the dog class throws over the wool, can make to throw over the wool maintains along slides sharp; Because the Joseph bottomless wool level, throws over the wool in addition inborn along the straight relations, therefore throws over the situation which the wool very little appears ties a knot, in after dog flushing body, must thoroughly and eats Mao Mogan does, uses the unraveling to comb again combs the wool cascade is suitable, because the dog throws over the wool young, therefore in combing time then must double carefully, combs by suitable Canada, only then not Mao Shuduan, if needs, may use unraveling unrefined oil, when carding wool then did not fear that sleepy wrong with adds makes the painful dog; Because throws over the wool the fat secretion to be many, the ear easy Tibet dirt, skin also Yi Sheng to have the tinea, must therefore maintain the body clean clean.

补充约瑟爹利洗澡的次数不多，约两三星期才冲洗一次便可，但饲主也不能因此而偷懒，仍要紧记每天为狗儿流擦披毛，才能令披毛保持顺滑亮丽；由於约瑟无底毛层，加上披毛天生顺直的关系，所以披毛很少出现打结的情形，在替狗儿冲洗身体后，要彻底把毛抹乾及吃乾，再用解结梳把毛逐层梳顺，因为狗儿的披毛较幼，所以在梳理时便要加倍小心，以适当的加度去梳，才不把毛梳断，如需要的话，更可使用一解结毛油，梳毛时便不怕困错用加而弄痛狗儿；由於披毛的脂分泌较多，耳朵易藏污垢，皮肤亦易生有癣疥，所以要保持身体清洁乾净。约克夏狗是狗类型一个小狗品种，开发在19世纪在约克夏历史地区在英国。品种的定义的特点是它的小型和它柔滑的蓝色和棕褐色的外套。品种起绰号Yorkie和安置在狗小组的玩具狗部分由Fédération Cynologique国际歌和在玩具小组或伴侣小组由其他狗窝俱乐部，虽然所有同意品种是狗。一赢取的showdog和一条普遍的伴侣狗，约克夏狗也是其他品种的发展的一部分，例如澳大利亚柔滑的狗。

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。

Put Twisted Sisters on MTV, yeah[01:46.40]Those were the days[01:49.49]I'll come back[01:50.75]To Iron Maiden and 7-Up[01:53.99]Bananarama and Breakfast Club[01:57.35]Come back[01:59.37]Come back[02:00.93]I'll come back[02:03.77]When Huey Lewis was the news[02:07.46]And we went flying with Tom Cruise[02:11.26]When shoulder pads and looking tough, ooh-oh-oh[02:15.26]Was the dirty David Hasselhoff[02:18.64]Too many men with heavy makeup on[02:22.34]Too many poodles with guitars[02:25.97]Thanks for all the joy you've given us[02:29.81]You will always be our superstars[02:35.28]Back to the 80s[02:36.86]Back to Soap[02:38.99]Back to Rocky and Cherry Coke, yeah[02:42.62]Those were the days[02:45.10]And we go[02:46.47]Back to the 80s[02:47.94]Say 'Hey there, Mister T.

无论里根是演员还是总统，[04：35.09]都在80年代留下了无法抹灭的印记。[04：39.15]satellite："卫星"，[04：40.81]在歌词中指的是"orbital satellites轨道卫星"，[04：44.80]这暗指里根时代的 star wars "星球大战"计划，[04：49.21]此计划在克林顿被停止执行）[04：53.80]skinny leather ties：是80年代在欧美国家风行的装束，[04：57.75]男孩们都喜欢戴着细条长的皮质领带，[05：00.89]尤其受到乐队的乐手们的宠爱。

Come on, come on Give me everything I deserve all I can get, you aint seen no-nothing yet I'm gonna grab the brassy golden ring Come on, come on I want everything I know it's gonna happen...

来吧，来吧给我的一切我应该所有我可以，你是不是没有看到，但没有我一定抓住黄铜金戒指来吧，来吧我想要的一切我知道一定发生过。。。

Habitancy office is adjusted in the adjustment there existing the job there being existed in the heart in middle central section crack quilt being able to bear the messenger who stores in there assuming a zero holding a post being paying court to the pair delivering letter to being new leaf proper existence face do it do thing fulfill carve print hand letter middle there middle early morning face expression respect face oneself a rich man system compose replace face existence system compose existence change become a circle what come to face a come to a climax middle make hiascent come down upper existence there neighbouring hold a post pay court to deliver letter a little nature fabrication be work effort Hold a post to the right office centre part making an inventory of stock paying court to deliver letter Yan makes hiascent hold out firmly from inside right hand to the price there being existed in oneself face from the crack rotating by the complement holding a post paying court to there being sent to be that comfort station space is staunch to value on paying attention to the value that existence directs on to expressing a respect to existence to staying by the foster son batting hand that faction secondary inside office face go to there fulfill slice meat print hand hand write carve print hand letter all kinds of strike existence degree face recipient make hiascent come down on upper staunch firmly hold out secondary inside office Kaiate son captain indicating that to expressing a respect to faction in adjacent there

Habitancy 办公室被调整适应在中调整那里存在工作那里存在被存在在中心脏在中中部中心部分使裂开缝被存在对能承受得了送信人谁商店在中那里僭越的 a 作归零校正支持住 a 杆存在向表示敬意向结对履行刻印刷体字母向存在对是新树叶本身存在朝做它做东西履行切肉印刷体手写字刻印刷体字母中部那里中部一大早朝表达尊重朝自己 a 富有男人系统创作用取代朝存在系统创作存在改变成为 a 盘旋什么来向朝 a 来向 a 达到高潮中部hiascent 来下来鞋帮存在那里邻近的支持住 a 杆向表示敬意向履行刻印刷体字母一点本质制造是使工作的为所作的努力支持住 a 杆向的权利办公室居中分开制造一具有清单所示价值的股票向表示敬意向履行刻印刷体字母 Yan 制造 hiascent 支持住从里面坚定从右内锋手向价格那里存在被存在在中自己朝从使裂开使轮换偏于表现彬彬有礼支持住 a 杆向表示敬意向那里存在寄送由转的向是那个公共厕所空间是对结实对的价值在上注意向对的价值那个存在指挥在上向明确尊重向存在向留下偏于义子击球手那个派别相对次要内部办公室朝去向那里履行斜击肉印刷体手写字手写作切肉印刷体手写字刻印刷体字母各种各样的打击存在度朝受主制造 hiascent 来下来在上鞋帮结实坚定支持住从里面相对次要内部办公室 Kaiate 儿子首领指示那个向明确 a 尊重向派别在中邻近的那里

Diving suit 潜水服衣服 2 burn out come from come into collision with come to light come true companion contary to ….

打扮 穿着潜水服尺高/长宽 8 尺高长/宽用电的/与电有关的电子的---electricityn。

I'm the Fireman Fire, Fa, Fireman I got that fire I'm hollering I got that fire come and try me and You can spark it up and I'ma put you out You can spark it up and I'ma put you out [Verse 1] Ain't nobody fuckin with me man, Heatman Ski Mask spending next weeks cash, he fast And I don't even need a G pass I'm pass that I'm passing em out now and you can't have that And my chain Toucan Sam That tropical colors you can't match that Gotta be abstract You catch my gal legs open betta smash that Don't be surprise if she ask where the cash at I see she wearing them jeans that show her butt crack My girls can't wear that why, that's where my stash at I put my mack down that's where you lack at She need her candlelit and I'ma wax that I rekindle the flame She remember the name It's Weezy Baby January December the same Mama gimme that brain Mama gimme that good Cause I'm the fireman You hear the firetruck I'm the Fireman Fire, Fa, Fireman I got that fire I'm hollering I got that fire come and try me and You can spark it up and I'ma put you out You can spark it up and I'ma put you out Fresh on campus it's the Birdman Jr Money too long teachers put away ya rulers Raw tune not a cartoon No shirt, tattoos, and some war wounds I'm hot but the car cool She wet that's a carpool Been in that water since a youngin you just shark food Quick Draw McGraw I went to art school Yeah the lights is bright but I got a short fuse Don't snooze Been handling the game so long my thumb bruise Ya new girlfriend is old news Yeen got enough green and she so blue yeah Cash Money Records where dreams come true Everything is easy baby leave it up to Weezy Baby Put it in the pot let it steam let it brew Now watch it melt don't burn ya self I'm the Fireman Fire, Fa, Fireman I got that fire I'm hollering I got that fire come and try me and You can spark it up and I'ma put you out You can spark it up and I'ma put you out Ridin' by myself well really not really So heavy in the trunk make the car pop-a-wheelie Who?

我是消防员消防，花园，消防员我接到火警我喊叫我接到火警来试试我，它可以激发起来，我是把你出去它可以激发起来，我是把你出去 [诗歌1] 不与我没有fuckin人，Heatman 滑雪面具的现金支出今后几周，他快我甚至不需要一个G通过我传递我现在传递时间内，你不能有链巨嘴鸟和我的山姆这种热带色彩不能匹配肯定在抽象你明白我的加仑双腿粉碎的开放斗鱼不要惊讶，如果她问其中现金我看到他们，她穿着牛仔裤，显示她的屁股裂缝我的女孩不能穿这个原因，这就是我的藏匿在我把我的下这就是你缺乏麦克她需要她的烛光和我是一个蜡余点燃圣火她记得这个名字这是12月1月Weezy婴儿一样妈妈gimme，大脑妈妈gimme，良好原因我是消防员你听到救火车我是消防员消防，花园，消防员我接到火警我喊叫我接到火警来试试我，它可以激发起来，我是把你出去它可以激发起来，我是把你出去新鲜校园它是鸟人Jr 钱太长教师收起亚统治者原料调整不是一个卡通没有衬衫，纹身，和一些战争创伤我觉得又热，但赛车冷却她湿这是一个用车在这水自1 youngin你只鲨鱼的食物快速绘制麦格劳我去艺术学校是的，灯光明亮而我得到脾气暴躁不要打盹被处理的游戏，只要我的拇指挫伤亚新女友是旧闻陈吕令意有足够的绿色和蓝色是啊，她这样现金货币记录下梦想成真一切都留给孩子容易到Weezy婴儿放入锅蒸让它让它酿造现在看它融化不烧亚自我我是消防员消防，花园，消防员我接到火警我喊叫我接到火警来试试我，它可以激发起来，我是把你出去它可以激发起来，我是把你出去我自己也实在没有真正因此，在主干沉重让赛车弹出一，离地平衡特技谁？

Come back come back come back come back to meeeee, Punisher

回来回来回来回到我的身边，冤家

It is like a mustard seed, which a man took and planted in his garden.

好像一粒芥菜种，有人拿去种在园子里，长大成树，天上的飞鸟宿在他的枝上。

The increase in narcissism was stronger for women than for men in both datasets.

在自我陶醉的增加是更有力的比这两个数据集男性。