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Playfair Cipher

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Encryption; Symmetric Cryptosystem

This is digraphic, bipartite substitution (Substitutions and Permutations) \({V }_{25} \times {V }_{25} \rightarrow {V }_{25} \times {V }_{25}\), using a 5 × 5 Polybios square and a “crossing step” \((\alpha \beta )(\gamma \delta )\mapsto (\alpha \delta )(\gamma \beta )\). In the example given below, the key palmerstone has been used to make the Polybios square (see mixed, Alphabet).

If a bigram is found in the same row (or the same column), the “crossing step” degenerates: it takes the cyclically right neighbor: am ↦ le; ae ↦ lp; aa ↦ ll (or the neighbor cyclically below: dl ↦ kt; dx ↦ kl). Modified rules are common, especially the one concerning the doubles: perhaps one letter of the pair will be omitted or replaced with a null; in cases like “less seven” this will lead to encrypt “le s& s& se ve n&,” where & is a null.

A modified Playfair uses two Polybios squares, one for the first and one for the second character of the bigrams,...

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  1. Bauer FL (1997) Decrypted secrets. In: Methods and maxims of cryptology. Springer, Berlin

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Bauer, F.L. (2011). Playfair Cipher. In: van Tilborg, H.C.A., Jajodia, S. (eds) Encyclopedia of Cryptography and Security. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-5906-5_172

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