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

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Table 4.4<br />

Key 3 1 5 2 4<br />

1 2 3 4 5<br />

6 7 8 9 10<br />

11 12 13 14 15<br />

16 17 18 19 20<br />

21 22 23 24 25<br />

26 27 28 29 30<br />

31 32 33 34 35<br />

<strong>and</strong> if we look at <strong>the</strong> intervals between <strong>the</strong> underlined numbers we find<br />

that<br />

<strong>and</strong><br />

1 <strong>and</strong> 2 are 14 places apart<br />

2 <strong>and</strong> 3 are 28 places apart<br />

3 <strong>and</strong> 4 are 21 places apart<br />

4 <strong>and</strong> 5 are 14 places apart<br />

i.e. <strong>the</strong> underlined numbers fall at intervals of multiples of 7, so that<br />

when we arrange <strong>the</strong> ‘text’ in 7 rows of 5 <strong>the</strong>y fall into <strong>the</strong> same row.<br />

If however we take this ‘cipher’ text <strong>and</strong> apply <strong>the</strong> transposition again<br />

(Table 4.5)<br />

Table 4.5<br />

Key 3 1 5 2 4<br />

<strong>the</strong> ‘cipher’ text is<br />

2 7 12 17 22<br />

27 32 4 9 14<br />

19 24 29 34 1<br />

6 11 16 21 26<br />

31 5 10 15 20<br />

25 30 35 3 8<br />

13 18 23 28 33<br />

Jigsaw <strong>ciphers</strong> 45<br />

7 32 24 11 5 30 18 17 9 34 21 15 3 28 2 27 19 6 31 25<br />

13 22 14 1 26 20 8 33 12 4 29 16 10 35 23<br />

<strong>and</strong> we see that pairs which were originally adjacent in <strong>the</strong> ‘plaintext’ are<br />

now non-uniformly distributed in <strong>the</strong> ‘cipher’ text,

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