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'.