论文标题
关于数学强度和谜分析的综述
A review on mathematical strength and analysis of Enigma
论文作者
论文摘要
在这篇评论文章中,我们通过对安全强度的分析讨论了谜机器背后的数学和力学。德国军队在第二次世界大战期间使用了谜机器来加密通信。由于其复杂性,假定谜团进行的加密几乎是无法破坏的。但是,波兰语认为,对科学和数学有良好背景和深刻了解的人将有更好的机会打破谜的加密。他们任命波兹南大学的20名数学家在波兰密码局工作。其中三个,玛丽安·雷吉斯基(Marian Rejewski),杰里·罗齐基(Jerzy Rozycki)和亨利克·齐格尔斯基(Henryk Zygalski)能够利用加密中的某些缺陷,并通过使用置换式群体理论最终设法破译了谜团。他们发现的数学在这里提出。
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.