over- ['əuvə(r)]
- over-的基本解释
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[机] 在上, 上面, 在外
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- adv. over
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- over
- overability
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- overabound
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- overabundant
- overaccumulation
- overacfivity
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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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Evanescence: Taking Over Me You don't remember me, but I remember you I lie awake and try so hard not to think of you But who can decide what they dream, and dream I do I believe in you I'll give up everything just to find you I have to be with you To live, to breathe You're taking over me Have you forgotten all I know, and all we had You saw me mourning my love for you, and touched my hand I knew you loved me then I believe in you I'll give up everything just find you I have to be with you To live, to breathe You're taking over me I look in the mirror and see your face If I look deep enough So many things in side that are Just like you are taking over I believe in you I'll give up everything just to find you I have to be with you To live, to breathe You're taking over me I believe in you I'll give upeverything just to find you I have to be with you To live, to breathe You're taking over me You're taking over me You're taking over me
你不记得我,但我记得你我躺着努力不去想你但是谁能决定他们的梦呢,我也一样我相信你我要放弃一切只为找到你只有和你在一起才能生存,才能呼吸你是我的全部你忘了我们的从前么你看到我为你哀悼我的爱,你触碰我的手我知道你是爱我的我相信你我要放弃一切只为找到你只有和你在一起才能生存,才能呼吸你是我的全部我在镜子里看到了你的脸我仔细的看我发现有很多东西正如你占据着我一样我相信你我要放弃一切只为找到你只有和你在一起才能生存,才能呼吸你是我的全部我相信你我要放弃一切只为找到你只有和你在一起才能生存,才能呼吸你是我的全部你是我的全部你是我的全部我自己翻的就这样啦您凑合着看看吧
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This dissertation investigates the construction of pseudo-random sequences (pseudo-random numbers) from elliptic curves and mainly analyzes their cryptographic properties by using exponential sums over rational points along elliptic curves. The main results are as follows:(1) The uniform distribution of the elliptic curve linear congruential generator is discussed and the lower bound of its nonlinear complexity is given.(2) Two large families of binary sequences are constructed from elliptic curves. The well distribution measure and the correlation measure of order k of the resulting sequences are studied. The results indicate that they are "good" binary sequences which give a positive answer to a conjecture proposed by Goubin et al.(3) A kind of binary sequences from an elliptic curve and its twisted curves over a prime field F_p. The length of the sequences is 4p. The "1" and "0" occur almost the same times. The linear complexity is at least one-fourth the period.(4) The exponential sums over rational points along elliptic curves over ring Z_ are estimated and are used to estimate the well distribution measure and the correlation measure of order k of a family of binary sequences from elliptic curves over ring Z_.(5) The correlation of the elliptic curve power number generator is given. It is proved that the sequences produced by the elliptic curve quadratic generator are asymptotically uniformly distributed.(6) The uniform distribution of the elliptic curve subset sum generator is considered.(7) We apply the linear feedback shift register over elliptic curves to produce sequences with long periods. The distribution and the linear complexity of the resulting sequences are also considered.
本文研究利用椭圆曲线构造的伪随机序列,主要利用有限域上椭圆曲线有理点群的指数和估计讨论椭圆曲线序列的密码性质——分布、相关性、线性复杂度等,得到如下主要结果:(1)系统讨论椭圆曲线-线性同余序列的一致分布性质,即该类序列是渐近一致分布的,并给出了它的非线性复杂度下界;(2)讨论两类由椭圆曲线构造的二元序列的"良性"分布与高阶相关性(correlation of order κ),这两类序列具有"优"的密码性质,也正面回答了Goubin等提出的公开问题;(3)利用椭圆曲线及其挠曲线构造一类二元序列,其周期为4p(其中椭圆曲线定义在有限域F_p上),0-1分布基本平衡,线性复杂度至少为周期的四分之一;(4)讨论了剩余类环Z_上的椭圆曲线的有理点的分布估计,并用于分析一类由剩余类环Z_上椭圆曲线构造的二元序列的伪随机性;(5)讨论椭圆曲线-幂生成器序列的相关性及椭圆曲线-二次生成器序列的一致分布;(6)讨论椭圆曲线-子集和序列的一致分布;(7)讨论椭圆曲线上的线性反馈移位寄存器序列的分布,线性复杂度等性质。
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over- overseas:副词前缀
6.形容词后缀 -ful helpful, powerful | 7.副词前缀 over- overseas | compounding 合词法
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over- overwork:(工作过度) overuse (过多使用)
out- outnumber (数量超过) outdo (胜过) | over- overwork (工作过度) overuse (过多使用) | super- supersonic (超声速的) superpower (超级大国))
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Do over! - OK:再一次 -好
You were robbed!|你真逊 | - Do over! - OK.|-再一次 -好 | - Don't get any ideas. - Pete. Let's go.|-别想乱来 -皮特,去玩吧
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enginebus over- Cab:客车 平头式
货车 平头式 enginetruck over- Cab- . | 客车 平头式 enginebus over- Cab- . | 车身 平头型 Cabovertypebody .
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over- Examples: overwork:过度劳动
Prefix (前缀) | over- Examples: overwork 过度劳动 | overweight 超重
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