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Cryptology - Unofficial St. Mary's College of California Web Site

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132 CHAPTER 7.<br />

VIGENÈRE CIPHERS<br />

24. (Continuation <strong>of</strong> 23.) In I, Claudius by Robert Graves, the character<br />

Claudius writes<br />

The key <strong>of</strong> the ... cipher ... was provided by the first hundred lines<br />

<strong>of</strong> the first book <strong>of</strong> the Iliad, which had to be read concurrently with<br />

the writing <strong>of</strong> the cipher, each letter in the writing being represented<br />

by the number <strong>of</strong> letters <strong>of</strong> the alphabet intervening between it and<br />

the corresponding letter in Homer. Thus the first letter <strong>of</strong> the first<br />

word <strong>of</strong> the first line <strong>of</strong> the first book <strong>of</strong> the Iliad is Mu. Suppose the<br />

first letter <strong>of</strong> the first word <strong>of</strong> an entry in the dossier to be Upsilon.<br />

There are seven letters in the Greek alphabet intervening between<br />

Mu and Upsilon so Upsilon would be written as 7. In this plan the<br />

alphabet wouild be thought <strong>of</strong> as circular, Omega, the last letter,<br />

following Alpha, the first, so that the distance between Upsilon and<br />

Alpha would be 4, but the distance between Alpha and Upsilon sould<br />

be 18. It was Augustus’s invention and must have taken rather a long<br />

time to write and decode.<br />

Although Graves describes a cipher using Greek, it should not be Greek<br />

to you. (Sorry – couldn’t resist.) This is clearly a polyalphabetic cipher.<br />

What kind – Vigenére, Beaufort or Variant<br />

If it helps, the Greek alphabet is<br />

αβγδɛζηθικλµνξoπρστυφχψω<br />

25. Admiral Beaufort was neither the first nor the last person to invent the<br />

cipher named for him. In his diary on April 22, 1868 Charles Dodgson<br />

wrote that while “Sitting up at night I invented a new cipher, which I think<br />

<strong>of</strong> calling the Telegraph Cipher.” He told George Ward Hunt, First Lord<br />

<strong>of</strong> the Admiralty about his invention. No response is known [Abeles2].<br />

His method involves two alphabets:<br />

Key Alphabet: ABCDEFGHIJKLMNOPQRSTUVWXYZ<br />

Message Alphabet: abcdefghijklmnopqrstuvwxyza<br />

“To translate a message into cipher, write the key-word, letter for<br />

letter, over the message, repeating it as <strong>of</strong>ten as may be necessary:<br />

slide the message-alphabet along under the other, so as to bring the<br />

first letter <strong>of</strong> the message under the first letter <strong>of</strong> the key-word, and<br />

copy the letter that stands over ’a’: then do the same with the second<br />

letter <strong>of</strong> the message and the second letter <strong>of</strong> the key-word, and so<br />

on.<br />

Translate back into English by the same process.<br />

For example, if the key-word be WAR, and the message meet me at<br />

six, we write it thus:–<br />

warw ar wa rwa<br />

meet me at six<br />

kwnd on wh zod

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