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

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Table 2.6<br />

From <strong>Julius</strong> <strong>Caesar</strong> to simple substitution 25<br />

English French German Italian Welsh<br />

A 57 72 49 103 77<br />

B 9 13 18 4 13<br />

C 17 17 28 46 23<br />

D 26 34 43 42 63<br />

E 116 143 129 95 55<br />

F 28 7 11 8 28<br />

G 14 11 20 12 32<br />

H 46 9 42 11 43<br />

I 58 56 69 103 57<br />

J 1 1 1 0 0<br />

K 5 0 8 0 0<br />

L 34 42 25 58 47<br />

M 14 35 36 20 23<br />

N 57 54 58 58 58<br />

O 53 48 24 69 64<br />

P 18 27 7 16 3<br />

Q 3 5 0 3 0<br />

R 49 51 69 55 52<br />

S 55 64 54 38 20<br />

T 91 64 64 52 31<br />

U 25 42 28 21 17<br />

V 9 10 8 14 0<br />

W 11 0 12 0 31<br />

X 1 3 0 0 0<br />

Y 18 3 0 0 67<br />

Z 1 1 11 7 0<br />

O<strong>the</strong>r 184 188 186 165 196<br />

A statistical analysis of <strong>the</strong>se counts shows that English, French <strong>and</strong><br />

German <strong>and</strong>, to a lesser extent, Italian, are very closely related in so far as<br />

single letter frequencies are concerned, whereas <strong>the</strong>ir relationship with<br />

Welsh is noticeably weaker. A partial explanation is that Y is very<br />

common in Welsh, being a vowel (with two different pronunciations), but<br />

much less common in English <strong>and</strong> quite rare in <strong>the</strong> o<strong>the</strong>r languages. The<br />

counts also show that N might be said to be ‘<strong>the</strong> most consistent letter’<br />

since it occurs with virtually <strong>the</strong> same frequency in all five languages,<br />

accounting for about 6% to 7% of all alphabetic text. For an explanation of<br />

<strong>the</strong> statistical tests typically employed in comparing counts such as <strong>the</strong>se<br />

see [2.4]; for fur<strong>the</strong>r comments see M20.

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