potter's field
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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。
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He slides his other hand onto Potter's backside and holds on, loving Potter's strength, Potter's forcefulness.
他的另一只手滑上了Potter的背,然后搂住了对方,他真爱死Potter的气力和干劲儿了。
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Out of Merton College, while we are talking about just feeling rushed to the side of the Church College to see Harry Potter, there has been ranked after the group, it appears that Harry Potter is the big attraction, we row A will, immediately to the front, her husband suddenly said he did not like Harry Potter, do not want to spend so much money to eat him, I thought, that took nearly 300 money really is not worth a canteen, So we ran out of the team, which under no place to go, and her husband in the tourist guide on a big picture of the dinosaurs, said that to go there, I saw, ha ha free Museum of Oxford, and there are also free pittrivers Museum Is much point.
在默顿学院,而我们所谈论的只是感觉送往一侧的教会学院看到哈利波特,还有被评为集团后,似乎哈利波特是个大的吸引力,我们连续意愿,立即前线,她的丈夫突然说他不喜欢哈利波特,不想花太多钱给他吃,我想,这花了将近300钱真的是不值得一间餐厅,所以我们跑出去了球队,这在任何地方可去,和她的丈夫在导游的一个大图片的恐龙,他说,去那里,我看到了,哈哈免费的博物馆,牛津大学,也有免费的博物馆很多pittrivers点。
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potter's field:陶工的田地;义冢地;垃圾场
pottage of lentiles 红豆汤;蝇头小利;因小失大. | potter's field 陶工的田地;义冢地;垃圾场. | poor as Lazarus 穷得像拉撒路一样 一贫如洗.
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From Potter's Field:波特墓園
1994 The Body Farm 人體農場 | 1995 From Potter's Field 波特墓園 | 1996 Cause of Death 死亡的理由