Polygraphic Substitution Ciphers

Polygraphic substitution divide the plaintext into groups of letters. Then, they replace each group of letters by one of the predefined letters, numbers, graphic symbols, or by another group of characters.

Usage

Polygraphic substitution ciphers were invented as an improvement of simple substitution ciphers. They were very popular during the Renaissance and they were used in Europe for many centuries.

Description

Polygraphic substitution ciphers work by dividing the plaintext into many parts, and replacing each group by a word, a single character or number, or anything else. To decrypt ciphertext letters, one should use the reversed substitution and change phrases in the opposite direction.

The main motivation of introducing ciphers of this type was a possibility to obscure frequencies of ciphertext characters. To achieve that, popular plaintext phrases should be replaced by one of a few previously assigned to that phrase characters, numbers, or other phrases. Different replacements should be used randomly, thus making the frequency analysis much more difficult.

Polygraphic substitution ciphers provide larger randomness and flexibility that homophonic substitution ciphers due to a possibility to encrypt whole groups of characters at once.

A popular technique used in polygraphic substitution ciphers is to assign several predefined words or numbers to each popular plaintext word. European diplomats used codenames to encode important institutions, places, and names of important people.

Polygraphic Substitution Ciphers:

Playfair Cipher

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The Playfair cipher is a polygraphic substitution cipher, which replaces each pair of plaintext letters by another pair of letters, determined by a single table.

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Two-square Cipher

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The two-square cipher is a polygraphic substitution cipher, which replaces each pair of plaintext letters by another pair of letters, determined by a single table.

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Four-square Cipher

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The four-square cipher is a polygraphic substitution cipher, which replaces each pair of plaintext letters by another pair of letters, determined by a single table.

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Hill Cipher

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The Hill cipher is a polygraphic substitution cipher, which replaces each pair of plaintext letters by another pair of letters, determined by a single table.

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