| The
Homophonic Substitution Cipher involves replacing each letter with a variety of
substitutes, the number of potential substitutes being proportional to the frequency
of the letter. For example, the letter 'a' accounts for roughly 8% of all letters
in English, so we assign 8 symbols to represent it. Each time an 'a' appears in
the plaintext it is replaced by one of the 8 symbols chosen at random, and so
by the end of the encipherment each symbol constitutes roughly 1% of the ciphertext.
The letter 'b' accounts for 2% of all letters and so we assign 2 symbols to represent
it. Each time 'b' appears in the plaintext either of the two symbols can be chosen,
so each symbol will also constitute roughly 1% of the ciphertext. This process
continues throughout the alphabet, until we get to 'z', which is so rare that
is has only one substitute. In the example below, the substitutes happen to be
2-digit numbers, there are between 1 and 12 substitutes for each letter, depending
on the letter's relative abundance.
The point of offering several substitution
options for popular letters is to balance out the frequencies of symbols in the
ciphertext. Every symbol will constitute roughly 1% of the ciphertext. If none
of the symbols appears more frequently than any other, then this cipher would
appear to defy any potential attack via straightforward frequency analysis.
To
encipher a message, type it into the box labelled 'Plaintext', then click the
button labelled 'Encipher Plaintext'. |