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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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84<br />

chapter 7<br />

We now turn our attention to <strong>the</strong> two remaining places where it looks<br />

as if THEX might be in one of <strong>the</strong> texts, namely at positions 39 <strong>and</strong> 41.<br />

These are obviously incompatible, since <strong>the</strong>y overlap, so at most one of<br />

<strong>the</strong>m is right. There is a bit more evidence available since if THEX is<br />

present it should be preceded by <strong>the</strong> separator, X. We accordingly decrypt<br />

X at positions 38 <strong>and</strong> 40 where <strong>the</strong> cipher letters are X <strong>and</strong> L which give A<br />

<strong>and</strong> O as <strong>the</strong> corresponding plaintext letters <strong>and</strong> so yield <strong>the</strong> possible<br />

plaintext pentagraphs<br />

ABEEO at position 38<br />

OPENH at position 40<br />

The first of <strong>the</strong>se doesn’t look likely; <strong>the</strong> second looks better <strong>and</strong> since<br />

a meeting is being mentioned it is quite possible that a place is named.<br />

Even without collateral information, since COPENHAGEN fits <strong>the</strong> pentagraph<br />

it is worth trying. We <strong>the</strong>refore try C at position 39 <strong>and</strong> A, G, E, N<br />

<strong>and</strong> X in positions 45, 46, 47, 48 <strong>and</strong> 49 which produces <strong>the</strong> following<br />

texts for positions 39 to 49:<br />

Cipher ULILREJATVQ<br />

Text1 S THE JUPIT<br />

Text2 COPENHAGEN<br />

This is very convincing <strong>and</strong> gives us an extra piece of useful information,<br />

for The Jupiter is <strong>the</strong> name of Mozart’s last symphony <strong>and</strong> we might<br />

<strong>the</strong>refore expect his name to occur in Text 1, somewhere between positions<br />

19 <strong>and</strong> 38. Fur<strong>the</strong>rmore, <strong>the</strong> word COPENHAGEN should be preceded<br />

by a separator <strong>and</strong> so, putting in <strong>the</strong> cipher letter, X, <strong>and</strong> <strong>the</strong> text<br />

letter, which is also X in this case, we obtain A at position 38 of Text 1<br />

which <strong>the</strong>refore reads<br />

Text1 .AS THE JUPITE<br />

Since we are dealing with Mozart’s last symphony <strong>the</strong> letter in position<br />

37 might well be W <strong>and</strong> that at 36 would <strong>the</strong>n be X. Substituting <strong>the</strong>se<br />

into <strong>the</strong> cipher we obtain, for positions 36 to 49,<br />

Cipher FJXULILREJATVQ<br />

Text1 WAS THE JUPIT<br />

Text2 IN COPENHAGEN<br />

There is a 50th cipher letter, B, which ought to give E in TEXT1 <strong>and</strong><br />

‘space’ in TEXT2, <strong>and</strong> this is <strong>the</strong> case, adding fur<strong>the</strong>r confirmation, if

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