Cryptology - Unofficial St. Mary's College of California Web Site
Cryptology - Unofficial St. Mary's College of California Web Site
Cryptology - Unofficial St. Mary's College of California Web Site
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98 CHAPTER 6. DECRYPTING MONOALPHABETIC CIPHERS<br />
crypting process. Areas <strong>of</strong> frequent interest are methods for decrypting monoalphabetic<br />
ciphers more quickly. To give a flavor <strong>of</strong> these, we present a slight<br />
variation on a method for recognizing the vowels in a short ciphertext due to<br />
B. V. Sukhotin [Gray].<br />
The idea behind this method is that vowels tend to have a wide variety <strong>of</strong><br />
partners, with the vast majority being consonants. We should be able to make<br />
use <strong>of</strong> this to weed out the vowels from the consonants. The easiest way to<br />
explain the method is to use it. Let’s use our first example from Section 6.2 as<br />
the ciphertext.<br />
<strong>St</strong>ep 1: Use the digraph chart to count the number <strong>of</strong> times each proposed<br />
etaonishr letter is in contact with another <strong>of</strong> these letters, ignoring any times<br />
they contact themselves, and total the results.<br />
C D F J K Q S T X total<br />
C 0 2 1 0 1 3 0 0 5<br />
D 0 0 0 0 3 0 5 2 10<br />
F 2 0 8 1 5 2 1 1 20<br />
J 1 0 8 0 1 0 0 6 16<br />
K 0 0 1 0 5 0 2 7 15<br />
Q 1 3 5 1 5 6 1 0 22<br />
S 3 0 2 0 0 6 6 1 18<br />
T 0 5 1 0 2 1 6 4 19<br />
X 0 2 1 6 7 0 1 4 20<br />
<strong>St</strong>ep 2: The letter with the largest total is a vowel. Mark it so. Any letter<br />
contacting a vowel is probably not one. So we go through the remaining rows,<br />
and penalize each row by twice the number <strong>of</strong> times this vowel appears in their<br />
list.<br />
C D F J K Q S T X total total2<br />
C 0 2 1 0 1 3 0 0 7 5<br />
D 0 0 0 0 3 0 5 2 10 4<br />
F 2 0 8 1 5 2 1 1 20 10<br />
J 1 0 8 0 1 0 0 6 16 14<br />
K 0 0 1 0 5 0 2 7 15 5<br />
Q 1 3 5 1 5 6 1 0 22 vowel<br />
S 3 0 2 0 0 6 6 1 18 6<br />
T 0 5 1 0 2 1 6 4 19 17<br />
X 0 2 1 6 7 0 1 4 20 20<br />
<strong>St</strong>ep 3: Again, the letter with the largest remaining count is a vowel. Mark it