数学强度与谜的解析
A review on mathematical strength and analysis of Enigma
摘要：
在这篇评论文章中，我们讨论了Enigma机器背后的数学和力学，并分析了安全强度。德国军队在二战期间使用恩尼格玛密码机来加密通信。由于其复杂性，谜机所做的加密被认为几乎是不可破解的。然而，波兰人认为，具有良好背景和深厚的科学和数学知识的人将有更好的机会破解Enigma所做的加密。他们任命20名数学家从波兹南大学工作的这个问题在波兰密码局。其中三人，Marian Replenski，Jerzy Rozycki和Henryk Zygalski能够利用加密中的某些缺陷，并通过使用置换群理论最终成功破译了Enigma消息。这里介绍他们发现的数学。
英文摘要：
In this review article, we discussed the Mathematics and mechanics behind the Enigma machine with an analysis of security strength. The German army used the Enigma machine during the second world war to encrypt communications. Due to its complexity, the encryption done by the Enigma Machine was assumed to be almost unbreakable. However, the Polish believed that people with good background and deep knowledge of science and mathematics would have a better chance to break the encryption done by Enigma. They appointed twenty mathematicians from Poznan University to work on this problem at the Polish Cipher Bureau. Three of those, Marian Rejewski, Jerzy Rozycki and Henryk Zygalski were able to exploit certain flaws in the encryption, and by using permutation group theory finally managed to decipher the Enigma messages. The mathematics discovered by them is presented here.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
