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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逻辑函数的反演公式;给出了有限域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逻辑函数的密码性质进行了研究;给出了有限域逻辑函数与相应素域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,由此引出了有限域的"泛仿射函数"的概念;考察了有限域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,利用有限域逻辑函数的非线性度与相应素域向量逻辑函数非线性度的关系,考察了有限域逻辑函数的非线性度与线性结构的关系;利用有限域逻辑函数与相应素域向量逻辑函数的关系,揭示了有限域的广义Bent函数与相应素域的广义Bent函数的关系,以及有限域的完全非线性函数与相应素域向量广义Bent函数之间的关系;给出了任意有限域任意n元完全非线性函数存在性与否的完整证明,并利用有限域平衡的p-多项式的性质给出了有限域完全非线性函数的一些基本构造方法。

Hotel brokers dragged staggering pace, with a look of exhaustion luggage into the station, one that is open to police to borrow money that is太岁头上动土encountered fraud syndicate, police did not believe the beginning, after the investigation turned out that name of the hotel brokers before working in Hong Kong to Taichung, after work has been unable to find a new job, spend money and helpless body, and want to go home but no money to ride, forced only to adults for help we the Boli Shi, raising more than 500 police vehicles block the money to the hotel brokers , good people to do in the end, and also patrol car with the hotel brokers to the station to ride bow deeply to the police adult Thank you kindly, hotel broker promised to find a job after returning Kaohsiung made money, some Taichung peace will return to the police station to thank the police who help him.

酒店经纪拖著蹒跚的步伐,带著行李一脸疲惫走进派出所,一开口就是要向员警借钱以为是太岁头动土,遇到了诈骗集团,员警一开始还不相信,事后调查原来这名酒店经纪日前到台中港打工,工作结束后一直找不到新的工作,无奈身的钱又花光了,想回家却没钱坐车,不得已只好向咱们的波丽士大人求助了,员警集资五百多块的车钱给酒店经纪,好人做到底,同时还用巡逻车载酒店经纪到车站搭车深深一鞠躬谢谢好心的警察大人,酒店经纪允诺回高雄后找到工作赚了钱,一定会回台中安宁派出所来谢谢帮助他的员警们。

Hotel brokers dragged staggering pace, with a look of exhaustion luggage into the station, one that is open to police to borrow money that is太岁头上动土encountered fraud syndicate, police did not believe the beginning, after the investigation turned out that name of the hotel brokers before working in Hong Kong to Taichung, after work has been unable to find a new job, spend money and helpless body, and want to go home but no money to ride, forced only to adults for help we the Boli Shi, raising more than 500 police vehicles block the money to the hotel brokers , good people to do in the end, and also patrol car with the hotel brokers to the station to ride bow deeply to the police adult Thank you kindly, hotel broker promised to find a job after returning Kaohsiung made money, some Taichung peace will return to the police station to thank members of the police who help him.

酒店经纪拖著蹒跚的步伐,带著行李一脸疲惫走进派出所,一开口就是要向员警借钱以为是太岁头动土,遇到了诈骗集团,员警一开始还不相信,事后调查原来这名酒店经纪日前到台中港打工,工作结束后一直找不到新的工作,无奈身的钱又花光了,想回家却没钱坐车,不得已只好向咱们的波丽士大人求助了,员警集资五百多块的车钱给酒店经纪,好人做到底,同时还用巡逻车载酒店经纪到车站搭车深深一鞠躬谢谢好心的警察大人,酒店经纪允诺回高雄后找到工作赚了钱,一定会回台中安宁派出所来谢谢帮助他的员警们。

This exquisite insoles配上exquisite packaging can also give as arts and crafts, is close choice.

而这种精美的鞋垫配精美的包装还可以作为手工艺品送人,是贴心的选择。

Sima Snooze just a fun child, for which he did not punish Mr. less and peer ridicule, Mr. inculcate in, he determined to give up a bad Snooze, in order to get up early, he drank before going to bed a belly full of water, the results of the morning was not hold up, but the bed of urine, so clever with Sima Guang Park Police made a wooden pillow, am a stand up, head down in床板上naturally awaken, from his early every day up to study, perseverance, and finally become a learned, and write the "Mirror" the great writer.

司马光是个贪玩贪睡的孩子,为此他没少受先生的责罚和同伴的嘲笑,在先生的谆谆教诲下,他决心改掉贪睡的坏毛病,为了早早起床,他睡觉前喝了满满一肚子水,结果早没有被憋醒,却尿了床,于是聪明的司马光用园木头作了一个警枕,早一翻身,头滑落在床板,自然惊醒,从此他天天早早地起床读书,坚持不懈,终于成为了一个学识渊博的,写出了《资治通鉴》的大文豪。

Palmtop 掌上计算机例句:A palmtops ancestry owes more to the electronic calculator bthan to the PC.

计算机的祖先更象是电子计算器而非个人计算机。for the time be

Luxury on the high seas 公海上的奢华 A two-story Crown Loft Suite with two-story window and balcony on board the Oasis of the Seas.

一个两层高的皇家阁楼套房,配有两层楼高的全景玻璃窗和阳台,位于海洋绿洲号的甲板

Next to a cook for a price of 80 pounds of lobster裹上gold, the other four chefs skillfully hollowed out shell of quail eggs only, fill in caviar.

旁边一名厨师为一只售价八十英镑的龙虾裹金箔,另一名厨师熟练地挖空四只有壳的鹌鹑蛋,填入鱼子酱。

My county at a primary school fee is not expensive上三年级directly.

我在县城的一所收费不贵的小学直接三年级。

Roadside umbrella watching the couple walk厮Tama-yan ear sideburns language twitter,沥沥rain hit my face in the cold waves continuous涌上心头, once sweet and well-being of people who love to therein non-, and I am still wandering in vain in the corner of the city's pursuit of struggling to remember the happiness of passing away.

看着路边撑伞慢步的情侣耳鬓厮摩燕语呢喃,沥沥秋雨打在我的脸一阵阵的寒意不断的涌心头,曾经的甜蜜与幸福,曾经最爱的人都以物事以非,而我却还在徒劳的徘徊在这个城市的角落里苦苦的追寻记忆中以逝去的幸福。

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推荐网络例句

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm~150rpm时取得最大值,此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世,形体几无变化。

When I was in school, the rabbi explained everythingin the Bible two different ways.

当我上学的时候,老师解释《圣经》用两种不同的方法。