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The main contributions of the second part of this dissertation are focused on the cryptographic properties of logical functions over finite field, with the help of the properties of trace functions, and that of p-polynomials, as well as the permutation theory over finite field: The new definition of Chrestenson linear spectrum is given and the relation between the new Chrestenson linear spectrum and the Chrestenson cyclic spectrum is presented, followed by the inverse formula of logical function over finite field; The distribution for linear structures of the logical functions over finite field is discussed and the complete construction of logical functions taking on all vectors as linear structures is suggested, which leads to the conception of the extended affine functions over finite field, whose cryptographic properties is similar to that of the affine functions over field GF (2) and prime field F〓; The relationship between the degeneration of logical functions and the linear structures, the degeneration of logical functions and the support of Chrestenson spectrum, as well as the relation between the nonlinearity and the linear structures are discussed; Using the relation of the logical functions over finite field and the vector logical functions over its prime field, we reveal the relationship between the perfect nonlinear functions over finite field and the vector generalized Bent functions over its prime field; The existence or not of the perfect nonlinear functions with any variables over any finite fields is offered, and some methods are proposed to construct the perfect nonlinear functions by using the balanced p-polynomials over finite field.

重新定义了有限域上逻辑函数的Chrestenson线性谱，考察了新定义的Chrestenson线性谱和原来的Chrestenson循环谱的关系，并利用一组对偶基给出了有限域上逻辑函数的反演公式；给出了有限域上随机变量联合分布的分解式，并利用随机变量联合分布的分解式对有限域上逻辑函数的密码性质进行了研究；给出了有限域上逻辑函数与相应素域上向量逻辑函数的关系，探讨了它们之间密码性质的联系，如平衡性，相关免疫性，扩散性，线性结构以及非线性度等；讨论了有限域上逻辑函数各类线性结构之间的关系，并给出了任意点都是线性结构的逻辑函数的全部构造，由此引出了有限域上的"泛仿射函数"的概念；考察了有限域上逻辑函数的退化性与线性结构的关系、退化性与Chrestenson谱支集的关系；给出了有限域逻辑函数非线性度的定义，利用有限域上逻辑函数的非线性度与相应素域上向量逻辑函数非线性度的关系，考察了有限域上逻辑函数的非线性度与线性结构的关系；利用有限域上逻辑函数与相应素域上向量逻辑函数的关系，揭示了有限域上的广义Bent函数与相应素域上的广义Bent函数的关系，以及有限域上的完全非线性函数与相应素域上向量广义Bent函数之间的关系；给出了任意有限域上任意n元完全非线性函数存在性与否的完整证明，并利用有限域上平衡的p-多项式的性质给出了有限域上完全非线性函数的一些基本构造方法。

Free sb / sth of … a frequent visitor be friends with sb keep friends with sb a week from today for fun make fun of sb have fun (=have a good time) function as… relief funds furnish a room with… further notice in future = from now on in the future 使…摆脱常客和……友好和……保持友好从今天算起的一周后为了乐趣嘲笑过得愉快起……作用救济金给……配备家具另行通知从今以后,今后在未来 gain experience gain speed No pains, no gains play a close game host the 2008 Olympic Games generation gap gaze at general knowledge have a general/rough idea of in general it is generally believed/considered get on well with get over get through have a gift for be gifted with give out give away give in to give off be only too glad to do sth at a glance cast a glance atn.

for the glory of the school go about go across go around go wrong go in for go into the army 第 19 页共 50 页获得经验加速一分耕耘，一分收获进行一场势均力敌的比赛主办 2008 年奥运会代沟凝视，注视一般常识有总的/大致的了解一般说来一般认为与某人相处好，某事进展顺利从恢复，痊愈完成；通过；接通电话有……的天赋具有……的才华分发，散发，用光，耗尽泄密屈服于某人某事放出非常乐意做某事一看就扫了一眼为了学校的荣誉忙于，从事横过，穿过传播；足够分配出故障，出错参加，爱好从军高考词组汇编 31。

Bell furtively glance furtively glance that these companies have been in disregard of China's mandatory regulations.

钟睒睒，这些公司在中国的强制性规定，违反了。

Literature -汉英 At first glance the black night still appeared illimitably powerful, but a glance round showed that the liquid light of dawn had changed into a powder-blue radiance.

原来的红海上簇拥出一堆堆墨蓝色云霞。一个奇迹就在这时诞生了。--汉英文学-现代散文- richu

Beyonce knowles唱的啊 You need to stop playing round with all them clowns and the wangstas Good girls gotta get down with the gangstas Go head girl put some back and some neck up on it While I stand up in the background and check up on it Ooh Boy you looking like you what you see Won't you come over check up on it,(I'm gonna let you work up on it) Ladies let em check up on it,(watch it while he check up on it) Dip it, pop it, twirk it, stop it, check on me tonight If you got it, flaunt it, boy I know you want it While I turn around you watch me check up on it Oohhh you watchin me shake it, I see it in ya face 'n' Ya can't take it, it's blazin, you watch me in amazement You can look at it, as long as you don't grab it If you don't go braggin, I'm a let you have it You think that I am teasin, but I ain't got no reason I'm sure that I can please ya, but first I gotta read ya Ooh Boy you looking like you like what you see Won't you come over check up on it (I'm gonna let you work up on it) Ladies let em check up on it (watch it while he check up on it) Dip it, pop it, twirk it, stop it, check on me tonight (x2) I can tell you wanna taste it, but I'm gone make you chase it Got to be patient, I like my men patient More patience, you take might get you in more places You can't be abrasive, has to know to pace it If I let you get up on it, you gotta make a promise That you gon put it on me, like no ones put it on me Don't bore me, just show me, all men talk but don't please I can be a tease, but I really wanna please you Ooh Boy you lookin like you like what you see Won't you come over check up on it,(I'm gonna let you work up on it) Ladies let em check up on it,(watch it while he check up on it) Dip it, pop it, twirk it, stop it, check on me tonight (x2) I'm checking on you boo, do what chu do And while dance I'ma glance at this beautiful view I'm keep my hands in my pants, I need to glue em w/ glue I'm in a trance all eyes on you and your crew Me and my mans don't dance, but to feel ya'll bump and grind If won't hurt if you gone try one time They all hot, but let me see this ones mine Its slim thug and DC outta H town Ohh Boy you looking like you like what you see Won't you come over check up on it,(I'm gonna let you work up on it) Ladies let em check up on it,(watch it while he check up on it) Dip it, pop it, twirk it, stop it, check on me tonight x4

slimthug，你必须停止玩回合与所有这些小丑与wangstas好女孩gottagetdown 随着gangstas走头女孩把一些背部和颈部一些比它在我站起背景及检查它oohboy你看你喜欢什么，你会看到你不来对清理出来，(我gonna让你工作起来就)让各位em察看着它，沾，流行资讯，twirk它，阻止它， checkonme今晚如果你有它，炫耀它，男孩我知道你要它当我转身，你看我检查它oohhh你watchin 我摇，我看它在亚面子'n'ya不能把它，它的blazin，你看我一无所有你可以看看，只要你不抓这个问题，如果你不去braggin，我是一个让你如果你觉得我teasin，但我是不会有任何理由，我相信我能请娅但是，我首先gotta阅读娅ooh男孩找你喜欢你喜欢你见到不会你来超过清理它(我gonna让你工作起来就)让各位em检查它沾，流行资讯，twirk它，阻止它， checkonmetonight(x2)，我可以告诉你想品尝，但我已离开人世，使你追逐它必须有耐心，我喜欢我的男病人更耐心，你也许可以得到你的地方越来越多，你不能磨料已经知道它的速度，如果我让你起床，那 yougotta做出承诺，你gonputitonme，不一样的说得对我并不负有我，只告诉我，所有男人说话，但不讨人喜欢，我可以戏耍，但是我真的想请你oohboylookin你喜欢你喜欢你见到不会你来对清理出来，(我gonna让你工作起来就)让各位em察看着它，沾，流行资讯，twirk它，阻止它， checkonmetonight(x2)我查你boo，做什么不楚而舞i'ma一眼这个美丽的看法，我把我的手在我的裤子，我需要胶水emw/胶水我在发呆都看你和你的船员和我我mans不跳舞，但感觉ya'll碰及研磨如果不会伤害如果你去尝试一次他们都热，但让我看到这样的矿井其slimthug直流outtah镇ohhboy你看喜欢你喜欢你见到不会你来清理，那(我gonna让你工作起来就)让各位em察看着它，沾，流行资讯，twirk它，阻止它， checkonme今晚x4

Slim Thug You need to stop playing round with all them clowns and the wangstas Good girls gotta get down with the gangstas Go head girl put some back and some neck up on it While I stand up in the background and check up on it Ooh Boy you looking like you what you see Won't you come over check up on it,(I'm gonna let you work up on it) Ladies let em check up on it,(watch it while he check up on it) Dip it, pop it, twirk it, stop it, check on me tonight If you got it, flaunt it, boy I know you want it While I turn around you watch me check up on it Oohhh you watchin me shake it, I see it in ya face 'n' Ya can't take it, it's blazin, you watch me in amazement You can look at it, as long as you don't grab it If you don't go braggin, I'm a let you have it You think that I am teasin, but I ain't got no reason I'm sure that I can please ya, but first I gotta read ya Ooh Boy you looking like you like what you see Won't you come over check up on it (I'm gonna let you work up on it) Ladies let em check up on it (watch it while he check up on it) Dip it, pop it, twirk it, stop it, check on me tonight (x2) I can tell you wanna taste it, but I'm gone make you chase it Got to be patient, I like my men patient More patience, you take might get you in more places You can't be abrasive, has to know to pace it If I let you get up on it, you gotta make a promise That you gon put it on me, like no ones put it on me Don't bore me, just show me, all men talk but don't please I can be a tease, but I really wanna please you Ooh Boy you lookin like you like what you see Won't you come over check up on it,(I'm gonna let you work up on it) Ladies let em check up on it,(watch it while he check up on it) Dip it, pop it, twirk it, stop it, check on me tonight (x2) I'm checking on you boo, do what chu do And while dance I'ma glance at this beautiful view I'm keep my hands in my pants, I need to glue em w/ glue I'm in a trance all eyes on you and your crew Me and my mans don't dance, but to feel ya'll bump and grind If won't hurt if you gone try one time They all hot, but let me see this ones mine Its slim thug and DC outta H town Ohh Boy you looking like you like what you see Won't you come over check up on it,(I'm gonna let you work up on it) Ladies let em check up on it,(watch it while he check up on it) Dip it, pop it, twirk it, stop it, check on me tonight x4

slimthug，你必须停止玩回合与所有这些小丑与wangstas好女孩gottagetdown 随着gangstas走头女孩把一些背部和颈部一些比它在我站起背景及检查它oohboy你看你喜欢什么，你会看到你不来对清理出来，(我gonna让你工作起来就)让各位em察看着它，沾，流行资讯，twirk它，阻止它， checkonme今晚如果你有它，炫耀它，男孩我知道你要它当我转身，你看我检查它oohhh你watchin 我摇，我看它在亚面子'n'ya不能把它，它的blazin，你看我一无所有你可以看看，只要你不抓这个问题，如果你不去braggin，我是一个让你如果你觉得我teasin，但我是不会有任何理由，我相信我能请娅但是，我首先gotta阅读娅ooh男孩找你喜欢你喜欢你见到不会你来超过清理它(我gonna让你工作起来就)让各位em检查它沾，流行资讯，twirk它，阻止它， checkonmetonight(x2)，我可以告诉你想品尝，但我已离开人世，使你追逐它必须有耐心，我喜欢我的男病人更耐心，你也许可以得到你的地方越来越多，你不能磨料已经知道它的速度，如果我让你起床，那 yougotta做出承诺，你gonputitonme，不一样的说得对我并不负有我，只告诉我，所有男人说话，但不讨人喜欢，我可以戏耍，但是我真的想请你oohboylookin你喜欢你喜欢你见到不会你来对清理出来，(我gonna让你工作起来就)让各位em察看着它，沾，流行资讯，twirk它，阻止它， checkonmetonight(x2)我查你boo，做什么不楚而舞i'ma一眼这个美丽的看法，我把我的手在我的裤子，我需要胶水emw/胶水我在发呆都看你和你的船员和我我mans不跳舞，但感觉ya'll碰及研磨如果不会伤害如果你去尝试一次他们都热，但让我看到这样的矿井其slimthug直流outtah镇ohhboy你看喜欢你喜欢你见到不会你来清理，那(我gonna让你工作起来就)让各位em察看着它，沾，流行资讯，twirk它，阻止它， checkonme今晚x4

Evanescence: Taking Over Me You don't remember me, but I remember you I lie awake and try so hard not to think of you But who can decide what they dream, and dream I do I believe in you I'll give up everything just to find you I have to be with you To live, to breathe You're taking over me Have you forgotten all I know, and all we had You saw me mourning my love for you, and touched my hand I knew you loved me then I believe in you I'll give up everything just find you I have to be with you To live, to breathe You're taking over me I look in the mirror and see your face If I look deep enough So many things in side that are Just like you are taking over I believe in you I'll give up everything just to find you I have to be with you To live, to breathe You're taking over me I believe in you I'll give upeverything just to find you I have to be with you To live, to breathe You're taking over me You're taking over me You're taking over me

你不记得我，但我记得你我躺着努力不去想你但是谁能决定他们的梦呢，我也一样我相信你我要放弃一切只为找到你只有和你在一起才能生存，才能呼吸你是我的全部你忘了我们的从前么你看到我为你哀悼我的爱，你触碰我的手我知道你是爱我的我相信你我要放弃一切只为找到你只有和你在一起才能生存，才能呼吸你是我的全部我在镜子里看到了你的脸我仔细的看我发现有很多东西正如你占据着我一样我相信你我要放弃一切只为找到你只有和你在一起才能生存，才能呼吸你是我的全部我相信你我要放弃一切只为找到你只有和你在一起才能生存，才能呼吸你是我的全部你是我的全部你是我的全部我自己翻的就这样啦您凑合着看看吧

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 time, we do not want to colorize the image. I've dragged my Hue slider to the left to a value of -123

这次不要勾选着色，我将色相的滑标向左移到-123

A timely report from an independent prosecutor would surely be helpful in buttressing and justifying that order.

及时报告从一个独立的检察官一定会有助於支撑和合理的秩序。