bent on
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下决心, 热中
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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。
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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。
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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。
- 更多网络解释 与bent on相关的网络解释 [注:此内容来源于网络,仅供参考]
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be bent on:热恋于,一心想
be based on根据,以......为基础 | be bent on热恋于,一心想 | be beside oneself忘乎所以
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be bent on:一心想要,决心要
be drafted into 征召...入伍 | be bent on 一心想要,决心要 | be dependent on 依靠,依赖,随...而定
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be bent on:专心致志于
belly n.腹部;腹腔 | be bent on 专心致志于 | benficial a.有益的,有利的
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be bent on sth:下定决心做
be available to sb.可用,可供 | be bent on sth. 下定决心做... | be bound to一定
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bent on:决定
110. bent on sth. 下定决心做... | 111. bent on决定 | 112. beside point 离题的,不相干的
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