Code and ciphers: Julius Caesar, the Enigma and the internet
Code and ciphers: Julius Caesar, the Enigma and the internet
Code and ciphers: Julius Caesar, the Enigma and the internet
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It should be realised, of course, that <strong>the</strong> example gives only an indication<br />
of how messages on <strong>the</strong> original <strong>Enigma</strong>, with no plugboard <strong>and</strong> only<br />
three wheels in <strong>the</strong> set, could be decrypted. Many changes were made to<br />
<strong>the</strong> <strong>Enigma</strong> itself <strong>and</strong> to its operational procedures, particularly during<br />
<strong>the</strong> years 1938–45. For example:<br />
(1) <strong>the</strong> repetition of <strong>the</strong> three-letter indicator was modified by <strong>the</strong><br />
insertion of a pair of dummy letters <strong>and</strong> <strong>the</strong> use of a digraph<br />
substitution table;<br />
(2) <strong>the</strong> use of a common ground setting was ab<strong>and</strong>oned; operators chose<br />
<strong>the</strong>ir own ground setting which <strong>the</strong>y gave, unenciphered, at <strong>the</strong> start<br />
of <strong>the</strong> cipher text;<br />
(3) <strong>the</strong> three wheels were increased to five by all users <strong>and</strong> later to eight by<br />
<strong>the</strong> German Navy, who also used a four-wheel <strong>Enigma</strong> from 1942,<br />
which involved a new reflector.<br />
These changes provided <strong>the</strong> cryptanalysts at Bletchley with a series of<br />
formidable challenges, which were overcome, in some cases quickly but<br />
for <strong>the</strong> four-wheel machine only with great effort.<br />
For more information see [9.2] <strong>and</strong> [9.3].<br />
Anyone interested in simulating <strong>the</strong> <strong>Enigma</strong> on a PC <strong>and</strong> following<br />
<strong>the</strong> steps of <strong>the</strong> original Polish solution would find [9.4] interesting.<br />
For those who would like to try setting a (mini-) <strong>Enigma</strong> wheel here is:<br />
Problem 9.1<br />
On a 10-point mini-<strong>Enigma</strong> which has been used to encipher messages<br />
based on <strong>the</strong> digits 0–9 <strong>the</strong> results of enciphering <strong>the</strong> doublets 00, 11, ...,<br />
99 at <strong>the</strong> same ground setting are obtained from <strong>the</strong> indicators (in<br />
unknown order) <strong>and</strong> are<br />
(0, 2), (1, 6), (2, 3), (3, 9), (4, 8), (5, 5), (6, 4), (7, 7), (8, 1) <strong>and</strong> (9, 0).<br />
The first column of <strong>the</strong> encipherment table of <strong>the</strong> wheel which is believed<br />
to be R1 is<br />
(0, 8, 6, 4, 3, 7, 1, 5, 9, 2).<br />
The <strong>Enigma</strong> cipher machine 131<br />
Complete <strong>the</strong> encipherment table <strong>and</strong>, with a suitable alignment of <strong>the</strong><br />
chains, verify that R1 at setting 3 is consistent with <strong>the</strong> data. What are <strong>the</strong><br />
pairings in <strong>the</strong> composite reflector?