### 数学代写|密码学作业代写Cryptography & Cryptanalysis代考|CS6260

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• Statistical Inference 统计推断
• Statistical Computing 统计计算
• (Generalized) Linear Models 广义线性模型
• Statistical Machine Learning 统计机器学习
• Longitudinal Data Analysis 纵向数据分析
• Foundations of Data Science 数据科学基础

## 数学代写|密码学作业代写Cryptography & Cryptanalysis代考|Digital Signatures

In this book, we will deal with digital signatures as well. A digital signature represents a cryptographic primitive that is fundamental in the process of authentication, authorization, and non-repudiation. The goal of a digital signature is to offer a way for an entity to map its identity with a piece of information. The process of signing implies the transforming of the message and a part known as secret information that is held by the entity into a tag known as the signature.
A general description is as follows:

• $\mathcal{M}$ represents the set of messages that have the possibility to be signed.
• $\mathcal{S}$ represents the set of elements known as signatures. The signatures can be binary strings with a fixed length.
• $\mathcal{S}{A}$ is defined as a transformation from the set of messages $\mathcal{M}$ to the set of signatures $\mathcal{S}$, known as a signing transformation for entity $A$ (Alice). The $\mathcal{S}{A}$ is stored as a secret by $A$ and is used to create signatures for the messages from $\mathcal{M}$.$V_{A}$ represents a transformation from the set $\mathcal{M} \times \mathcal{S}$ to the set ${$ true, false $} . \mathcal{M} \times \mathcal{S}$ consists of all pairs $(m, s)$ where $m \in \mathcal{M}$ and $s \in \mathcal{S}$, known as the Cartesian product of $\mathcal{M}$ and $\mathcal{S} . V_{A}$ is a transformation that can be used as a verification process for the signatures of $A$, is known as public, and is used by different entities in order to verify the signatures created by $A$.

## 数学代写|密码学作业代写Cryptography & Cryptanalysis代考|Public-Key Cryptography

Public-key cryptography plays an important role in .NET and when we need to implement related algorithms. There are several important commercial libraries that implement public-key cryptography solutions for developers, such as [21-30].
To understand better how public-key cryptography works, let’s consider a of encryption transformations defined as $\left{E_{e}: e \in \mathcal{K}\right}$ and a set of matching decryption transformations defined as $\left{D_{d}: d \in \mathcal{K}\right}$, where $\mathcal{K}$ represents the key space. Take into consideration the following pair association of encryption/decryption transformations $\left(E_{e} D_{d}\right)$ and let’s suppose that each pair has the property of knowing $E_{e}$ that is computationally unrealizable, having a random ciphertext $c \in \mathcal{C}$ to manage to identify the message $m \in \mathcal{M}$ in such way that $E_{e}(m)=c$. The property defined involves that for any given $e$ it is unrealizable to determine the corresponding decryption key $d$.

Having the assumptions made above, let’s consider a two-party communication between Alice and Bob as illustrated in Figure 1-6.

• Bob will select a key pair $(e, d)$.
• Bob will send the encryption key $e$, known as the public key, to Alice over any channel and will keep the decryption key, $d$, known as the private key, secure and secret.
• Alice, afterwards, will send a message $m$ to Bob by applying the encryption transformation that is computed and determined by Bob’s public key in order to get $c=E_{e}(m)$. Bob will decrypt the ciphertext $c$ by using the inverse transformation $D_{d}$ which is determined uniquely by $d$.

## 数学代写|密码学作业代写Cryptography & Cryptanalysis代考|Permutations

$$p(1)=2, p(2)=5, p(3)=4, p(4)=2, p(5)=1$$

## 有限元方法代写

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## MATLAB代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。