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# 数学代写|密码学代写CRYPTOGRAPHY代考|CSE599 Wheel Cipher Cryptanalysis

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## 数学代写|密码学代写CRYPTOGRAPHY代考|Wheel Cipher Cryptanalysis

Suppose we capture an M-94 and then intercept a message. We might turn the wheels to form the ciphertext on one row and then eagerly look at each of the other 25 rows only to be disappointed. Clearly, the key (the order of the disks) has changed. If the sender errs with stereotyped beginnings or has also sent the message in another (compromised) system, we have a crib and can attempt to determine the new key. There are 25 ! possible orderings, so we need an approach more sophisticated than brute force. The alphabets for the U.S. Navy wheel cipher were as follows. ${ }^{15}$
1 BCEJIVDTGFZRHALWKXPQYUNSMO
3 DGZKPYESNUOAJXMHRTCVBWLFQI
4 EIBCDGJLFHMKRWQTVUANOPYZXS
5 FRYOMNACTBDWZPQIUHLJKXEGSV
6 GJIYTKPWXSVUEDCOFNQARMBLZH
7 HNFUZMSXKEPCQIGVTOYWLRAJDB
8 IWVXRZTPHOCQGSBJEYUDMFKANL
9 JXRSFHYGVDQPBLIMOAKZNTCWUE
10 KDAFLJHOCGEBTMNRSQVPXZIYWU
11 LEGIJBKUZARTSOHNPFXMWQDVCY
12 MYUVWLCQSTXHNFAZGDRBJEOIPK
13 NMJHAEXBLIGDKCRFYPWSZOQUVT
14 OLTWGANZUVJEFYDKHSMXQIPBRC
15 PVXRNQUIYZSJATWBDLGCEHFOKM
16 QTSEOPIDMNFXWUKYJVHGBLZCAR
18 SONMOUVAWRYGCEZLBKDFIJXHTP
19 TSMZKXWVRYUFIGJDABEOPCHNLQ
20 UPKGSCFJOWAYDHVELZNRTBMQIX
21 VFLQYSORPMHZUKXACGJIDNTEBW
22 WHOLBDMKEQNIXRTUZJFYCSVPAG
23 XZPTVOBMQCWSLJYGNEIUFDRKHA
24 YQHACRLNDPBOVZSXWITEGKUMJF
25 ZUQNXWRYALIVPBESMCOKHGJTFD

## 数学代写|密码学代写 CRYPTOGRAPHY代考|The Playfair Cipher

In 19th-century London, it wasn’t unusual for lovers or would-be lovers to encipher their personal communications and pay to place them in The Times. Known collectively as “Agony Columns,” these notes most commonly used monoalphabetic substitution ciphers. Such simple ciphers provided a bit of sport for Baron Lyon Playfair and Charles Wheatstone. ${ }^{17}$
On Sundays we usually walked together and used to amuse ourselves by deciphering the cipher advertisements in The Times. An Oxford student who was in a reading party at Perth, was so sure of his cipher that he kept up a correspondence with a young lady in London. This we had no difficulty in reading. At last he proposed an elopement. Wheatstone inserted an advertisement in The Times, a remonstrance to the young lady in the same cipher, and the last letter was, ‘Dear Charles, write me no more, our cipher is discovered.’
-Lyon Playfair
The cipher system named after Playfair (although he is not the creator of it) is more sophisticated than those that typically appeared in the papers. It’s an example of a digraphic substitution cipher, which simply means that the letters are substituted for two at a time.

## 数学代写|密码学代写CRYPTOGRAPHY代考|Wheel Cipher Cryptanalysis

1 BCEJIVDTGFZRHALWKXPQYUNSMO
3 DGZKPYESNUOAJXMHRTCVBWLFQI
4 EIBCDGJLFHMKRWQTVUANOPYZXS
5 FRYOMNACTBDWZPQIUHLJKXEGSV
6 GJIYTKPWXSVUEDCOFNQARMBLZH
7 HNFUZMSXKEPCQIGVTOYWLRAJDB
8 IWVXRZTPHOCQGSBJEYUDMFKANL
9 JXRSFHYGVDQPBLIMOAKZNTCWUE
10 KDAFLJHOCGEBTMNRSQVPXZIYWU
11 LEGIJBKUZARTSOHNPFXMWQDVCY
12 MYUVWLCQSTXHNFAZGDRBJEOIPK
13 NMJHAEXBLIGDKCRFYPWSZOQUVT
14 OLTWGANZUVJEFYDKHSMXQIPBRC
15 PVXRNQUIYZSJATWBDLGCEHFOKM
16 QTSEOPIDMNFXWUKYJVHGBLZCAR
18 SONMOUVAWRYGCEZLBKDFIJXHTP
19 TSMZKXWVRYUFIGJDABEOPCHNLQ
20 UPKGSCFJOWAYDHVELZNRTBMQIX
21 VFLQYSORPMHZUKXACGJIDNTEBW
22 WHOLBDMKEQNIXRTUZJFYCSVPAG
23 XZPTVOBMQCWSLJYGNEIUFDRKHA
24 YQHACRLNDPBOVZSXWITEGKUMJF
25 ZUQNXWRYALIVPBESMCOKHGJTFD

-Lyon Playfair

## 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。