迭代混沌映射的S盒构造方法

置换盒又称为S盒,是分组密码中常采用的重要部件。首先对评价S盒性能的指标进行了分析,以非线性度、完全雪崩准则、输出比特间独立性、差分均匀性和双射作为主要的评价指标。然后利用混沌系统在相空间的高度非线性,提出了一种迭代混沌映射的S盒构造方法。仿真检测表明,利用该算法产生的S盒具有很好的密码学特性,为开发新的分组密码算法和动态S盒加密方法奠定了很好的基础。     

基于动态复合混沌系统的S盒设计

S盒是分组密码中重要的非线性部件之一.基于多混沌系统及复合思想,并引入Arnold映射置乱算法,提出了一种混沌S盒的产生方法.首先,提出了几种混沌方程,并对方程的自相关性和互相关性进行了分析,证明它们具有很好的伪随机性.接着,引入了动态复合混沌系统,形成了一种新的混沌系统.运用线性同余发生器可以延长混沌周期的思想,结合动态复合混沌系统,形成了一种新的伪随机序列的产生方法.将所形成的伪随机序列构造成临时的S盒,再利用Arnold映射将临时S盒置乱形成新的S盒.最后,对所产生的S盒做了严格的性能测试,并将本文S盒特性与前人提出的S盒进行了对比,对比分析显示本文所提出的算法产生的S盒具有良好的密码学性能,在空间网络安全及轻量级密码中具有很好的应用前景.     

S盒的二次方程及一个新的设计准则

S盒是许多分组密码算法中唯一的非线性部件, 因此它的密码强度决定了整个密码算法的安全强度. 本文从理论上分析S盒中二次方程的存在条件, 证明了AES(Advanced Encryption Standard)密码的S盒在有限域GF(256)上存在55个线性无关的二次方程, 并第一次给出了GF(256)上的这些二次方程. 这些方程可能被用于一些代数攻击中, 如XSL(eXtended Sparse Linearization)攻击. 为了防止利用这些二次方程进行的代数攻击, 本文提出一个新的S盒设计准则.     

S盒抗差分分析与非线性度关系的研究

S盒是AES的核心,它是分组密码算法中唯一的非线性部分．非线性度和S盒的抗差分分析能力的强弱有直接的关系,主要研究了非线性度与S盒抗差分线性分析和抗差分功耗分析的关系,并提出了一种改变S盒的非线性度的方法,作为S盒设计的一个参考方法,使其具有更好的抗差分分析的能力．     

S盒密码性质的测试与研究

本文介绍了S盒的设计准则和构造方法,并利用程序实现了非线性度、扩散准则、雪崩效应、差分均匀性这几个设计准则。利用上述程序对现代主流的几个分组密码进行了分析和测试,主要就非线性度、差分均匀度、雪崩效应、扩散特性以及可逆性对其中的S盒进行了分析和讨论。此外,在上述基础上,本文采用有限域上的幂函数和逆函数线性组合的方式构造S盒。对得到的S盒的密码性质进行了分析和讨论,并与现代主流密码的S盒进行比较。     

基于多维动态S盒和LFSR的分组密码算法

提出一种基于多维动态S盒混淆替换和n级联动线性反馈移位寄存器(LFSR)的分组密码算法.首先,通过矩阵变换初步将明文扰乱,进而进行多维动态S盒混淆替换,以此增强密文的非线性安全度;然后,通过列混淆函数进行组字节位循环移位,增强密文的扩散性;最后,使用n级联动线性反馈移位寄存器组生成动态密钥,增强每一轮迭代时的密钥随机性,使算法具有密码分组链接模式.性能分析结果表明:相对于AES算法和DES算法,本算法在增强安全性的同时对算法加解密速度影响较小.相关系数检验和差分分析实验进一步证明了算法可有效抵抗线性密码分析攻击和差分分析攻击等目前主流的密码算法攻击手段.     

切延迟椭圆反射腔映射系统的S 盒构造

利用切延迟椭圆反射腔映射系统良好的混沌特性,构造了一类新的S一盒,详细分析了其包括双射、非线性度、严格雪崩、输出比特独立性、差分逼近概率和线性逼近概率等密码学特性,并对Kocarev等最近提出用离散混沌判定s-盒强度进行了讨论.理论分析和测试结果表明构造方法容易实现且效率较高,构造的S-盒较用其它混沌系统构造的s-盒具有更好的密码学特性,可用于已有的密码方案的进一步改进.     

基于仿射变换的密钥相关S盒构造方法

针对现有密钥相关S盒构造方法存在的问题,提出了仿射密钥相关S盒的概念,给出了一种由密钥获得仿射密钥相关S盒的方法及其算法;分析了仿射变换对S盒的密码指标的影响,证明了保持仿射密钥相关S盒代数次数不变的条件.理论分析及实验结果表明:利用该方法所获得的密钥相关S盒在非线性度、差分均匀性、抗代数攻击能力、代数次数、代数项数分布、严格雪崩特性等指标上显示出良好的密码学特性,从而有效克服了现有密钥相关S盒构造方法中可能出现弱S盒等不足.     

基于超混沌序列的分组密码算法及其应用

利用混沌现象的“蝴蝶”效应和难以预测性等特点,提出利用超混沌序列改进分组密码算法的思想,实现基于超混沌序列的DES(数据加密标准)和AES(高级加密标准)算法,给出改进算法用于加密文本和图像数据的应用实例,分析比较改进后的算法和传统分组密码算法在安全性和抗破译性方面的性能。研究表明,分组密码算法和超混沌序列技术结合能够进一步提高系统的安全性和抗破译性能。     

一类轻量级最优S盒的构造方法

S盒是对称密码算法中主要的非线性部件,其密码性质的好坏将直接影响到密码算法的整体安全性。给出了一类4比特最优S盒的构造方法,证明了此类最优S盒属于同一仿射等价类G₁,统计给出其差分、线性和代数次数等密码学性质,计算出此类S盒的硬件实现平均等效门数为25.6。在此基础上,通过带轮密钥的3轮MISTY结构和Feistel结构构造了一类8比特S盒,给出了结构最优性的定义,并给出8比特S盒达到结构最优性的一个充分条件。     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

Features of Women's language

Language is a means of verbal communication. People use language to communicate with each other. In the society, no two speakers are exactly alike in the way of speaking. Some differences are due to age, gender, statue and personality. Above all, gender is one of the obvious reasons. The writer of this paper tries to describe the features of women＇s language from these perspectives： pronunciation, intonation, diction, subjects, grammar and discourse. From the discussion of the features of women＇s language, more attention should be paid to language use in social context. What＇s more, the linguistic phenomena in a speaking community can be understood more thoroughly.     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

Achieving Unusual States of Matter Under High Pressure

正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that     

On the Thermodynamic Limit for Responses to Static Electromagnetic Fields

For molecular systems,the quantum-mechanical treatment of their responses to static electromagnetic fields usually employs a scalar-potential treatment of the electric field and a vector-potential treatment of the magnetic field.Although the potential for each field separately is associated with the choice of an(unphysical)origin,the precise choice of the origin for the electrostatic field has little consequences for the results.This is different for the     

Call for Papers

<正>"The Journal of Shanghai Normal University:Mathematics"is published by Shanghai Normal University as regular issues of The Journal of Shanghai Normal University each year from 2014 in English.The editors-in-chief of the issues are professors Yuhao Cong and Maoan Han.The Journal of Shanghai Normal University was started in 1958 with     

Journal of Donghua University ( English Edition) Contents of Volume 31

正~~