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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。

Give sb a ring Give me a ring if you can come.

如果你能来给我打电话。

Give sb a ring 打电话给某人 I need to give Mum a ring and tell her I will not be back for dinner.

我要给妈妈打电话告诉她不回去吃晚饭了。我要给妈妈打电话告诉她不回去吃晚饭了。

Give sb a ring 打电话给某人 back I need to give Mum a ring and tell her I will not be back for dinner.

我要给妈妈打电话告诉她不回去吃晚饭了。我要给妈妈打电话告诉她不回去吃晚饭了。

C,give sb a ring 打电话给某人 I need to give Mum a ring and tell her I will not be back for dinner.

我要给妈妈打电话告诉她不回去吃晚饭了。

Give sb a ring 打手机给某人 I command to give Mum a ring and say IT I will not be behind for dinner.

我要给母亲打手机告诉她不回去吃晚饭了。

Give sb a ring 打电话给某人 I command to give Mum a ring or clarify her I be to not be hand to dinner.

我要给母亲打电话告诉她不回去吃晚饭了。

She give me a key ring = She give a key ring to me.

她给我一个钥匙链个钥匙链。

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。

Bleach主题曲 life is like a boat 歌曲:Life Is Like A Boat 歌手:Rie Fu Life Is Like A Boat 演唱: Rie fu 词/曲: Rie fu Nobody knows who I really am I never felt this empty before And if I ever need someone to come along Who's gonna comfort me, and keep me strong We are all rowing the boat of fate The waves keep on comin' and we can't escape But if we ever get lost on our way The waves would guide you thru another day 远くで息をしてる透明になったみたい暗暗に思えたけど目隠しされてただけ祈りをささげて新しい日を待つ鲜やかに光る海その果てまで Nobody knows who I really am Maybe they just don't give a damn But if I ever need someone to come along I know you would follow me, and keep me strong 人の心はうつりゆく抜け出したくなるつきはまた新しい周期で舟を连れてく And every time I see your face The oceans heave up to my heart You make me wanna strain at the oars And soon I can see the shore Ah, I can see the shore ...

life is like a boat http://www.cg-ring.com/music/riefu01.wma 刷吧我认了 Life is like a boat 歌词大意:没有人知道我究竟是谁我以前从未感觉到如此虚无空荡如果我需要有人来陪伴谁会安慰我并让我更加坚强我们都在命运之湖上荡舟划桨波浪起伏这而我们无法逃离孤航但是假使我们迷失了方向波浪将指引着我们穿越另一天的曙光在遥远的地方呼吸着仿佛变成了透明一般还以为是周遭的黑暗却只是被蒙住了双眼虔诚地祈祷着期待新的一天的到来直到闪耀着亮丽光芒的大海边际没有人知道我究竟是谁或许他们并不会指责我的荒唐但如果我需要有人来陪伴我知道你会追随我并使我坚强想从不断变迁的人心中挣脱又一轮阴晴圆缺的月亮牵引着我向前每一次我看见你的脸庞海洋奋力托起我的心脏你令我在荡桨时感到紧张转眼我竟看不到岸的彼方啊,我看不到岸的彼方。。。。。。

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Chrysanthemum of 10 thousand birthday is lax to edaphic requirement, with the arenaceous qualitative loam with fecund, good drainage had better.

万寿菊对土壤要求不严,以肥沃。排水良好的砂质壤土为好。

He unstepped the mast and furled the sail and tied it.

他拔下桅杆,把帆卷起,系住。

Therefore, positively advances the interest rate marketability reform is one of current our country finance reform important tasks.

因此,积极推进利率市场化改革是当前我国金融改革的重要任务之一。