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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。

Based on the preliminary design of fusion reactor ,aiming at the outline of solid blanket design,an advanced helium cooled solid blanket concept was developed.

在聚变堆初步概念设计的基础上,针对固态包层设计路线,提出了一个先进的氦冷固态包层概念。

This paper is aiming at discussing how Korean Chinese space function words (postposition/preposition) expanded the nuclear meaning of space concept into other non-space domain, and how to find the differences and similarities between metaphor of space concept.

本文旨在讨论朝汉空间功能词是如何将空间概念中的核心意义隐喻拓展到其它非空间领域中,并找出朝汉空间概念隐喻上的异同。

For this reason, the author of the article puts forword a new concept projective vector and coefficient "image" of projective vector. Coefficient of projective vector is put forword by the author for the frist time. It is of high value, both in mathematics and theory.

为此,本文给出了"一个向量在另一个向量方向上的射影向量和射影向量系数"的概念,"射影向量系数"这一概念,为作者本人首次提出,具有重要的教学价值和理论价值。

Quine to build complex concepts out of primitive ones.

Quine提出的理论有关)的方式,在原始概念上建立复杂概念。

This paper introduces the fundamental mind of fuzzy clustering analysis and carries on clustering analysis using the transitive closure method.

比如遥感图像上的某个样本属于某个类别或不属于某个类别是一个模糊概念[1],这些模糊概念便产生了经典分类学解决不了的困难,模糊聚类分析就应运而生了。

Raymond Gibbs, a pioneer in psycholinguistics, has argued that the present conceptual metaphorical theory is, in terms of cognitive grammar, unfalsifiable, if the only data in its favor is the systematic grouping of metaphors linked by a common theme.

尽管认知语言学对概念隐喻进行了界定和分析,但却没有在词或短语层面上对是什么构成了语言中的隐喻给出明确的尺度,也没有清楚地说明如何辨别一个概念隐喻的存在。

Written by the leading authors in the field of operating systems, this book capitalizes on the power of Java technology to allow students to work with executable code for examples of core concepts. Features of Applied Operating System Concepts

本书是在《操作系统概念》的基础上编写而成,与该书风格不同,本书通过使用Java实例和众多当代操作系统(如Solaris 2和Windows NT)的实例来阐述操作系统的基本概念。

For the determination of the normal working area in the horizontal plane, Squires' concept was recommended in preference to Parley's concept.

为了决定水平平面上的正常工作范围,Squires的概念较优於Farley的概念。

Even those thinkers who are certain there is only one conceptual scheme are in the sway of the scheme concept; even monotheists have religion.

甚至这些思考者(——认为存在唯一的概念框架)也在框架概念上摇摆不定;正如一神论者拥有的信仰。

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推荐网络例句

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。

Closes the eye, the deep breathing, all no longer are the dreams as if......

关闭眼睛,深呼吸,一切不再是梦想,犹如。。。。。。