查询词典 bent

Be bent on reform;Reform with keen determination

到中国译典经典版本中查找关于bent的最新解释和例句。。。。

In chapter 3, we firstly discuss the equivalence of the known APN polynomialfunctions on binary field. Moreover, we present a new family of APN polynomialfunctions and analyze their bent property.

在第三章中，首先讨论了特征为2的域中已知的几类APN多项式函数的等价性质，接着给出了一类新的APN多项式函数，并进一步分析了它的bent属性。

Another part of our work begins with definition of multioutput generalized bent functions. We show their spectral characteristics and give equivalence definition using generalized first order Chrestenson cyclic spectrum. Also we calculate rate of accordance between multioutput generalized bent functions and multioutput m-valued affine functions. Then we define multioutput m-valued perfect nonlinear functions and show relationship between them and multioutput generalized bent functions. Finally we give two ways of constructions of multioutput generalized bent functions.

第三章中首先给出了剩余类环上的多输出广义Bent函数的定义，得到了多输出广义Bent函数的广义一阶Chrestenson谱特征，然后计算了多输出广义Bent函数与多输出m值仿射函数的符合率；接着定义了多输出m值完全非线性函数，讨论了多输出m值完全非线性函数与多输出广义Bent函数之间的关系；最后给出了两种构造多输出广义Bent函数的方法。

A necessary and sufficient condition for a fx + t(y + g to be a bent function is disscussed,on which basis a necessary and sufficient condition for a function F = fix + tq + g to be a bent function is given when q is not a balanced-function by use of cyclic walsh spectrum and decomposition formula of walsh spectrum.

讨论了形如fx+τ(y+g的布尔函数是Bent函数的充分必要条件，在此基础上利用Bent函数的循环Walsh谱及谱分解式，进一步给出了当q不是平衡函数时，形如F=fx+τ(yq+g布尔函数是Bent函数的充分必要条件。

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。

The upper-bound counts and the lower-bound counts of Bent functions are proposed by researching the Hadamard matrix, which decrease the searching space of Bent functions.

通过正规Hadamard矩阵研究给出了GF(2~n)上Bent函数计数的上下界，降低了Bent函数搜索的空间。

When the information of the bent function exceeds the lower bound, we can find it.

在对bent函数的研究过程中，我们希望找到一个下界，当我们知道bent函数的信息量超过这个下界时，我们就能得到这个函数。

In this dissertation, we mainly use character matrix to research cryptology characteristic of Boolean function and m-ary logic function.Firstly, by using properties of character matrix's row and column we get an equivalence condition of bent function. Then we have an entirely construct method of 4 variable bent function.

本文利用特征矩阵研究了密码学中逻辑函数的相关问题，主要做的工作有：首先，根据Bent函数的自相关特征，利用特征矩阵给出了Bent函数的一个新的等价判别条件，并由此得到了4元Bent函数的一个完全构造方法。

In this paper,we discuss the Walsh spectral characteristics of partially-bent functions over ring Znq(q=p1*p2,p1、p2 are primes),propose two new concepts―nonzero factor variant-permanently linear structure and zero divisor variant―permanently linear structure,classify the variant-permanently linear structure of partially-bent functions and show their correlation,obtain several new equivalent conditions of partially-bent functions on ring Znq,finally,point out the correlations among balance, linear structure and points taking nonzero spectrum.

本文在环Znq上讨论了部分bent函数的谱特征(q=p1*p2，p1，p2是素数)，得到了Znq上部分bent函数的几个新的刻划，揭示了部分bent函数的平衡性、线性结构点及非零谱值点之间的相互关系，并对部分bent函数的恒变线性结构点进行了分类，指出了它们之间的相互关系，提出了零因子恒变线性结构点和非零因子恒变线性结构两个新概念。

This paper generalizes the conclusion of Perfect nonlinear S-boxes by Nyberg(1991), and introduces the conception of inverse regular generalized vector Bent function. It shows that for inverse regular generalized vector Bent function f with even variables, m is no more than half of?. It also shows that when the input dimension n is odd, the regular generalized vector Bent function and the inverse regular generalized vector Bent function do not exist. This may prevent the cryptology designer from seeking the inexistent function.

摘要该文完善并拓展了Nyberg(1991)的关于广义向量Bent函数性质的结论，相应于Nyberg给出的正则广义向量Bent函数，提出了&负则的广义向量Bent函数&的概念：得到有偶数个输入的负则的广义向量Bent函数输出维数也不大于输入维数的一半；证明了奇数个输入的正则和负则的广义向量Bent函数都不存在，这些结果的给出，可使密码设计者避免一味去寻找某类不存在的函数。

I can't say anything hurtful about anyone.

我不能说任何伤害人左右。

She was a short fat woman , garbed in a very tight , very gaudy red dress .

大冬天的，我们穿两件毛衣她却穿件短袖，不停地扇扇子，一个劲叫热。