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#Polybius Square

6 articles with this tag.

A visual representation of index-of-coincidence period finding and column key recovery against the Nihilist cipher
Basic Classic Symmetric Breakers Intermediate

Breaking the Nihilist Cipher

The Nihilist cipher turns letters into Polybius numbers and adds a repeating keyword, which makes it a Vigenere cipher wearing a numeric disguise. Index of coincidence finds the period, and column-by-column statistics peel off the key. This guide runs the real attack and recovers a 514-letter message.

13 min read

A visual representation of simulated annealing recovering a Bifid Polybius square from ciphertext
Basic Classic Symmetric Breakers Advanced

Breaking the Bifid Cipher with Simulated Annealing

Bifid fractionates each letter into coordinates and shuffles them, which hides single-letter frequencies. Given the period, a hill climb over the Polybius square guided by English quadgram statistics peels the key apart anyway. This guide runs the real attack and recovers a 669-letter message.

13 min read

A visual representation of the ADFGVX Cipher
Basic Classic Symmetric Advanced

The ADFGVX Cipher

Learn about ADFGVX, the German WWI field cipher that combined Polybius-square fractionation with columnar transposition. It was considered so strong that French cryptanalyst Georges Painvin needed weeks to break a message that helped stop a 1918 offensive.

14 min read

A visual representation of the Bifid Cipher
Basic Classic Symmetric Advanced

The Bifid Cipher

Learn about the Bifid cipher, Félix Delastelle's fractionating cipher that scrambles a Polybius square's coordinates across an entire message, defeating single-letter frequency analysis far more thoroughly than plain substitution.

14 min read

A visual representation of the Nihilist Cipher
Basic Classic Symmetric Intermediate

The Nihilist Cipher

Learn about the Nihilist cipher, the 19th-century Russian revolutionary cipher that turns a Polybius square into a polyalphabetic system by adding coordinate numbers together instead of shifting letters.

13 min read

A visual representation of the Polybius Square
Basic Classic Symmetric Beginner

The Polybius Square Cipher

Learn about the Polybius square, the ancient Greek cipher that turns every letter into a pair of coordinates. It became the foundation for tap codes, telegraph ciphers, and the ADFGVX cipher.

12 min read

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