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#Index of Coincidence

4 articles with this tag.

A visual representation of recovering the ADFGVX transposition and substitution to decrypt a message
Basic Classic Symmetric Breakers Advanced

Breaking the ADFGVX Cipher

ADFGVX fractionates each letter into two symbols and then shuffles them with a columnar transposition, the combination that made it Germany's toughest field cipher of 1918. This guide runs the modern automated attack: recover the transposition with the index of coincidence, then solve the substitution with quadgrams, and read a 330-letter message back out.

14 min read

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 breaking the Beaufort Cipher
Basic Classic Symmetric Breakers Intermediate

Breaking the Beaufort Cipher

The Beaufort cipher's reciprocal formula (C = K − P instead of Vigenère's C = P + K) looks like it should matter to an attacker. It doesn't: the same Kasiski examination, Index of Coincidence, and chi-squared pipeline that breaks Vigenère breaks Beaufort just as cleanly.

16 min read

A visual representation of the Vigenère Cipher Algorithm Breaker
Basic Classic Symmetric Breakers Intermediate

The Vigenère Cipher Breaking Guide

For three centuries the Vigenère cipher was called 'le chiffre indéchiffrable.' Learn the two statistical techniques, Kasiski examination and the Index of Coincidence, that finally broke it, and watch them recover a real key letter by letter.

17 min read

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