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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。

Where the debt transferred, the concerned right of mortgage is transferred simultaneously, unless otherwise provided by law or agreed by parties. According to the word, the mortgagee and the mortgagor may agree that the mortgage of ship is not transferred with transferred prime debt. But they cannot agree that the right of mortgager is apart from the prime debt to transfer or become the right of mortgage for other debt. Where the debtor' performance ability and credit is better, as well as the debtor and the mortgagor are the same or have affiliated relation, it is possible that the right of mortgage is not transferred with transferred prime debt.

船舶抵押权人可以和抵押人约定除了"债务人不履行到期债务"以外的实现抵押权的情形,如约定当债务人有其他的违约行为或经营不善将影响到债务人的履约能力时、显著的船舶市场行情下降将影响船舶抵押权实现的额度、显著的船况下降将使船舶出现优先权和船舶留置权的可能性增加等情形出现时,船舶抵押权人可以实现债权。

Seven experiments were conducted in the present study to test and verify two inferences:(1) In character decision performance, high frequency character have not character stroke and component number effect, but low frequency character is an essential condition to stroke and component number effect;(2) In prime condition, when SOA is very short (SOA=56ms), component character can prime the recognition of low frequency compound characters, but failure to prime the high frequency compound characters.

在此基础上,本文通过7个行为实验验证了这一假设的两个重要推论:(1)在字决定任务中,高频汉字不存在部件数和笔画数效应,而低频字不必然存在笔画数和部件数效应;(2)在启动条件下,当SOA较短(=56毫秒)时,成分字仅对低频合体字有启动效应,而对高频合体字没有启动效应。

Building elliptic curves over large prime field with nearly prime orders or prime orders.

构造大素域Z〓上素数阶或近乎素数阶椭圆曲线。

As Ramjet and Vector Prime duelled high above Cybertron, Nemesis Prime entered the Spark chamber of Primus, only to be confronted by a very unexpected foe - Omega Prime, who stopped him draining all of Primus' lifeforce.

当喷气机和引天行在赛博坦上方决斗时,黑暗擎天柱进入了元始天尊的火种室。

Statistician: Let's try several randomly chosen numbers: 17 is a prime, 23 is a prime, 11 is a prime...

统计学家:让我们尝试几个随机选择的数:17是个质数,23是个质数,11是个质数。。。。。。

Two years ago, at the age of 18, Rytis Slatkevicius launched a project called PrimeGrid, which has since assembled possibly the largest database of prime numbers in the world, and has broken several records: last August, for example, it found the biggest known example of a special kind of prime number called a Woodall prime.

两年前,18岁的瑞希斯·斯拉特科维西尔斯启动了一个叫做PrimeGrid的项目,从那开始,这个项目就尽可能地收集着世界上存在的质数,从而成就最大型的数据库,而且该项目还打破了好几项记录:比如说2006年8月,该项目发现了一种特别类型质数(称为Woodall prime)的最大的已知样本。

Investigation was carried on tweenty-four sample stands of four districts in Nanning City, including (1) college area: the Subtropical Conservative Rainforest, the omni-tree Woods, the Pinus massoniana Woods in Guangxi Ethnic College, the TaoLi Garden, the Centre Garden, the Nurture Garden, the sod Garden, the Eucalptus woods, the Osmanthus fragrans Woods and the Livistona chinensis green Belt in Guangxi University;(2) residence: the Swiss Villa"s two greening sample standsand the Wenhua Villa"s three greening sample stands;(3) commercial streets: theXingming Road ,whose prime street tree is Dracontomelon duperreanum , the Yuanhu Road, whose prime street tree is Saraca chinensis Merr.et Chum, the Xingzhu Road, whose prime street tree is Artocarpus nitidus Tree, subsp.

住宅区:文华园的3个样地和瑞士花园的2个样地。主要交通干道:大学路的3个样地和民族大道的2个样地。商业区:以人面子为主要街道树的新民路,以红桂木为主要行道树的新竹路,以中国无忧花为主要行道树的圆湖路。调查结果表明:在南宁市四个功能区的24个绿化样地,主要的绿化乔木有 45种,前 10种依次是:人面子、假摈梆、垂叶榕、桂花、扁桃、蒲葵、阴香、马尾松、芒果和中国无忧花,主要的绿化灌木有24种,前8种依次是九里香、尖叶木犀揽、黄叶假连翘、扶桑、花叶朱蕉、紫蒲、短穗鱼尾葵和大花美人蕉,这些植物基本上代表了本市绿化植物的主体。

The mid-temperature vinyl sulphone reactive dyes are the most commonly used in most of domestic dyeing factories at present. Owing to three prime color dyes are the basis of match dyeing ,the stability of the three prime colors property determines the performance of the matched color ,so it is very important to select a team of low cost three prime color dyes with high light-perspiration fastness .

目前国内染厂大多数染色都采用中温型含乙烯砜活性基的染料,由于染料三原色是进行拼色染色的基础,三原色性能的稳定与否决定着拼出的色相的稳定性,选择一组具有较高耐光汗复合色牢度且拼色性能较好的低成本三原色具有重要意义。

Based on the conventional CPB prime, we modified the prime solution using 5% NaHCO3 and 10% MgSO4. At the same time the prime solution were oxygenized through 60% oxygen mixed air.

目的 通过对体外循环预充液的改良调整,观察其对婴幼儿术中内环境及血流动力学的影响。

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推荐网络例句

The production moved off-Broadway to New York City, where she won the Joseph E. Calloway award for her performance, and was profiled in American Theater Magazine as one of ten young theater artists to watch.

生产提出过百老汇的新的纽约市,在那里她赢得了约瑟夫calloway奖,她的表现,并于异型在美国的战区杂志之一, 10战区的青年艺术家观赏。

It's a risk tradeoff, and I believe that adding test support code usually wins.

这是一个风险的权衡,我相信添加测试代码通常会占上风。

Besides, Fantine was only a moderately good workwoman

芳汀究竟还只是一个手艺平凡的工人。