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Code and ciphers: Julius Caesar, the Enigma and the internet

Code and ciphers: Julius Caesar, the Enigma and the internet

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first day of usage <strong>and</strong> so <strong>the</strong> assessment of <strong>the</strong> security of <strong>the</strong> original<br />

<strong>Enigma</strong> must be based upon <strong>the</strong> figure not of<br />

but of<br />

10 87<br />

105 456<br />

cases to be considered which, in 1923, before <strong>the</strong> invention of <strong>the</strong> computer,<br />

might have been considered adequate for a machine intended for<br />

purely commercial use. The German military, however, did not think so<br />

<strong>and</strong> insisted upon certain changes which improved <strong>the</strong> security considerably,<br />

<strong>the</strong> most significant of which was <strong>the</strong> introduction of<br />

The <strong>Enigma</strong> plugboard<br />

The military version of <strong>the</strong> <strong>Enigma</strong> included a plugboard at <strong>the</strong> front,<br />

below <strong>the</strong> typewriter keyboard. This plugboard had 26 sockets that could<br />

be connected in pairs by means of 13 short cables. The effect of this was to<br />

interchange pairs of letters at both <strong>the</strong> input <strong>and</strong> <strong>the</strong> output stages. So, for<br />

example, if A was connected to W by a cable <strong>the</strong>n whenever <strong>the</strong> cipher<br />

operator typed an A it would go into <strong>the</strong> <strong>Enigma</strong> as W, <strong>and</strong> vice versa.<br />

Similarly a cipher letter which emerged from <strong>the</strong> final wheel, R1, as A<br />

would light up <strong>the</strong> W lamp <strong>and</strong> so be recorded as W. The number of ways of<br />

pairing <strong>the</strong> 26 letters of <strong>the</strong> plugboard is <strong>the</strong> same as <strong>the</strong> number of possible<br />

Reflector wheels, i.e.<br />

more than 10 12<br />

<strong>and</strong> since <strong>the</strong> pairings on <strong>the</strong> plugboard were changed frequently (daily at<br />

first <strong>and</strong> thrice daily from 1944) this increased <strong>the</strong> problem for <strong>the</strong> cryptanalysts,<br />

who were now faced with having to consider more than 10 17<br />

possibilities instead of 105 456.<br />

The Achilles heel of <strong>the</strong> <strong>Enigma</strong><br />

The <strong>Enigma</strong> cipher machine 121<br />

The internal wirings of <strong>the</strong> three wheels <strong>and</strong> reflector on <strong>the</strong> military<br />

version of <strong>the</strong> <strong>Enigma</strong> were, at <strong>the</strong> underst<strong>and</strong>able insistence of <strong>the</strong> military,<br />

different from those on <strong>the</strong> original civil version of 1923, so that possession<br />

of a 1923-version civil <strong>Enigma</strong> would not help <strong>the</strong> cryptanalysts. In<br />

addition <strong>the</strong> plugboard had been introduced. Even if a cryptanalyst had

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