The Cryptanalysis of the Enigma Cipher. The Plugboard and the Cryptologic Bomb.

We study the problem of decoding secret messages encrypted by the German Army with the M3 Enigma machine after September 15, 1938. We focused our attention on the algorithmization and programming of this problem. A completion and optimization of Zygalski’s sheets method were presented previously. We describe below the missing algorithm solving the problem of the plugboard settings with an algebraic justification. This method is the original idea of the authors, and we can use it for cryptanalysis together with both Zygalski’s sheets method and Rejewski’s bomb method. Next, we present a reconstruction of the cryptologic bomb. We enclose an implementation of both algorithms in Cpp language

Re-engineering the Enigma cipher.

The design of this thesis is to re-engineer the Enigma cipher to make it a viable, secure cipher for use on current computers. The goal is to create a cipher based on an antiquated mechanical cryptography device, the Enigma Machine, in software and improve upon it. The basic principle that is being expounded upon here is that while the Enigma cipher\u27s security was originally very dependent on security through obscurity, this needs to be secure on its own. Also, this must be a viable solution for the encryption of data based on modern standards. The Enigma Phoenix, the name for this new cipher, will use Galois functions and other modern improvements to add an extra level of security to it and to make it the viable solution that is desired

Likelihood Estimation for Block Cipher Keys

In this paper, we give a general framework for the analysis of block ciphers using the statistical technique of likelihood estimation. We show how various recent successful cryptanalyses of block ciphers can be regarded in this framework. By analysing the SAFER block cipher in this framework we expose a cryptographic weakness of that cipher

Cracking the Enigma

This paper will examine the mathematics used to decode the Enigma machine. The enigma was a machine that was used by the Germans to send secure, encrypted messages amongst each other during World War II. This paper will discuss the workings of the machine and how it was continually adapted to increase security. Polish mathematicians, in particular Marian Rejewski applied theories of permutations of disjoint cycles in order to crack the enigma cipher. The work done by Rejewski and his colleagues was used by the British at Bletchley Park in order to continue breaking ciphers throughout the war. Being able to read the message sent amongst the German military played a significant role in insuring Ally victory in World War II

Block Ciphers: Analysis, Design and Applications

In this thesis we study cryptanalysis, applications and design of secret key block ciphers. In particular, the important class of Feistel ciphers is studied, which has a number of rounds, where in each round one applies a cryptographically weak function

Critical analyses of some public-key cryptosystems for high-speed satellite transmission applications

Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1981.MICROFICHE COPY AVAILABLE IN ARCHIVES AND ENGINEERING.Vita.Bibliography: leaves 83-86.by Moses Hsingwen Ma.M.S