查询词典 conjecture

We provide a substitution box, exponential permutation which has much measurable security, and give a enumerating result and a fast algorithm of calculating such permutation. An almost perfect nonlinear exponential permutation with high algebric degree is proposed. with some discussion on how to select the parameters of such permutation. The experimental result shows us a conjecture that there exists no such permutation over even dimensional space. As a way of generating substitution boxes, we briefly point out the cryptographic weakness of the exponential functions derived from such permutation. We also present two new cryptographic indexes, fixed point and cyclic structure, on which we investigate the performance of such permutation. Finally, we give a viewpoint about the application of correlation immune functions in designing substitution boxes.

提供了一种可度量安全强度的代换盒－幂置换；详细阐述了幂置换的实现和计数问题；给出了一种计算幂置换的快速算法；从几乎完善非线性幂置换角度讨论了幂置换参数的选取，并提出了一种高次几乎完善非线性置换；通过试验给出了关于偶数维空间上几乎完善非线性幂置换的一个猜想；简要给出了由幂置换派生出的幂函数的密码局限性；针对幂置换，提出了两个密码安全指标：不动点和循环结构；证明了幂置换在这两个指标下的密码性能；简要讨论了相关免疫函数与代换盒设计的关系。

So,my graduate excogitation in order to make conjecture housing,excel thought of web 2.0,make a offer pictures by customers,the admininister is only responsible tidy up and announce pictures,and then customers can be download the pictures.compare the tradition pictiures download web sites,It has more resource,the alternate of web site with customer more strong.

因此，我的毕业设计就以虚拟社区为题，突出web 2.0思想，构建一个由用户提供图片资料，管理员只负责整理，发布用户提供的图片，然后供用户下载的网站，比起传统的由管理员单一提供资源相比，有着提供资源更多，更全，网站与用户交互性更强等优势。

the mathematics experiment is: be to gain some kind of mathematics theory , conjecture checking some's mathematicses , to resolve some kind problems, the experimentalist applies certain matter means to, mathematics thinking activities participation, exploration , research flexible being in progress under the environment in specially appointed experiment.

数学实验为：为获得某种数学理论，检验某个数学猜想，解决某类问题，实验者运用一定的物质手段，在数学思维活动的参与下，在特定的实验环境下进行的探索、研究活动。

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。

I'll solve one or more mathematics puzzles, such as Beal conjecture, and Fermat's last theorem etc.

后来，一个梦想伴随了我很多年，我将解决一个或更多的数学难题，如 Beal 猜想、费马大定理等。

L In any case, the studies by Jiang Chun-xuan have not been accepted by the international mathematical community, it is commonly recognized that the Goldbach conjecture has not been proved, and it is commonly recognized that Fermat's Last Theorem was proved by Wiles and not Jiang Chun-xuan.

l 根据评估报告的标准，普林斯顿高等研究院没有被列入"数学领域国际1%顶尖科研机构"的前五十名，任何一位数学家都会说普林斯顿高等研究院是世界顶尖的数学研究机构。他认为从这个角度来讲，中国数学家还要努力。

In particular, this showed that a proof of the semistable case of the Taniyama-Shimura conjecture would imply Fermat's Last Theorem.

维尔斯教授10岁时已经对「费马最后定理」（Fermat's Last Theorem）产生兴趣，并希望能将它证明。

We conjecture that this file was accidentally included because it has the same file extension as the filters.

我们猜想，这个文件是意外，因为它包含有相同的文件扩展名的过滤器。

This paper talks about these two theorems around the finiteness conjecture and mainly gives detailed proofs for them.

本文将围绕有限性猜测仔细来讨论这两个定理，主要是详细补出了这两个定理的证明。

The next major contribution came from Birkhoff whose work allowed Franklin in 1922 to prove that the four color conjecture is true for maps with at most 25 regions.

下一个重大贡献来自与富兰克林工作过的伯克霍夫，他证实四色定理在最多25个地区的地图上可行。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。