引出的

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。

Fatalistic fatalistic encounter early in the morning ushered in, old houses, small penetrating encounter a strange man, grass Mount purple kimono Wu, schools recognized by the Greek prince was originally purple Wu"s cousin, also hosted in here, days, unpredictable things can happen night earth and rocks, landslides, small and thoroughly informed that got the message, the collapse of tents away, nowhere to go in her purple Wu was admitted by the Greek hospitality to retain under this house, warmth satisfactory quality of life to begin, but, an orange head of juvenile A clip fall from the sky, leads to shaking big secret - Grass family for hundreds of years have been Zodiac Mount possessed, possessed by the opposite sex who embrace it will become an animal, know the truth of the small penetration are likely to be grass Tama tribe of the family ordered the elimination of memory, carefully and above-board, she is an "Even if my memory removed, you may still continue to be my friend, touched by the Greek, the small penetration as the only outsider to know the secret to remain in grass friction at home.

宿命的清早迎来宿命的相遇，古老的宅院中，小透邂逅奇怪的和服男子草摩紫吴，学校公认的王子由希原来是紫吴的表弟，也寄住在这里，天有不测风云，当晚土石塌方，小透那顶帐篷知情知趣的塌掉，无处可去的她在紫吴和由希盛情挽留下住进了这个宅院，温情满意的生活就要开始了，不料一个橘子头少年阿夹从天而降，引出惊天大秘密--草摩家族几百年来都被十二生肖附身，附身者一被异性拥抱便会变成动物，知道真相的小透很可能会被草摩一族的当家人下令消除记忆，心地磊落的她一句&就算我的记忆消除了，请你还是继续和我做朋友&感动了由希，小透作为唯一知道秘密的外人留在草摩家。

I'm strongly against the death penalty — it's an eye for an eye.

我不赞成死刑——这是以牙还牙的报复行为。

And to get you the support you need, we're enlisting all elements of our national power: our diplomacy and development, our economic might and our moral suasion, so that you and the rest of our military do not bear the burden of our security alone.

并给你们所须的支援，我们正徵召国家所有各种的力量：我们的外交及发展，我们的经济力量与道德劝说，所以你们与其他军人不须要孤独地负起国家安全的责任。