Tool to compute coincidence index. Index of Coincidence is a cryptanalysis technique studying the probability of finding repeating letters in a ciphered text. A text in English language has a coincidence index of 0.0667.

Index of Coincidence - dCode

Tag(s) : Cryptanalysis

dCode is free and its tools are a valuable help in games, puzzles and problems to solve every day!

You have a problem, an idea for a project, a specific need and dCode can not (yet) help you? You need custom development? *Contact-me*!

This page is using the new English version of dCode, *please make comments* !

Sponsored ads

This script has been updated, please report any problems.

Tool to compute coincidence index. Index of Coincidence is a cryptanalysis technique studying the probability of finding repeating letters in a ciphered text. A text in English language has a coincidence index of 0.0667.

For a given ciphered message, the value for the index of coincidence allows to filter the list of ciphering methods to use. It is one of the first cryptanalysis technique.

If the Index of coincidence is high (close to \( 0.070 \)), i.e. similar to plain text, then the message has probably been crypted using a monoalphabetic substitution (a letter can be replaced by only one other).

If the Index of coincidence is low (close to \( 0.0385 \)), i.e. similar to a random text, then the message has probably been crypted using a polyalphabetic cipher (a letter can be replaced by multiple other ones).

The more the coincidence count is low, the more alphabets have been used.

Vigenere cipher with a key of length 4 to 8 letters have an IC of about \( 0.045 \pm 0.01\)

Index of coincidence uses the formula:

$$ IC = \sum_{i=A}^{i=Z} \frac{n_{i}(n_{i}-1)}{N(N-1)} $$

with \( n_i \) the number of occurrences of the letter \( i \) in the text and \( N \) the total number of letters.

For an non encrypted texte.

English | 0.0667 | French | 0.0778 |
---|---|---|---|

German | 0.0762 | Spanish | 0.0770 |

Italian | 0.0738 | Russian | 0.0529 |

A text where each letter has the same probability of appearance than another, IC is then of \( 1/N \) (where \( N \) is the number of letters in the alphabet)

\( IC = 0.0385 \) for \( N=26 \)

dCode retains ownership of the source code of the script Index of Coincidence. Except explicit open source licence (indicated Creative Commons / free), any algorithm, applet, snippet, software (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt, encrypt, decipher, cipher, decode, code, translate) written in any informatic langauge (PHP, Java, C#, Python, Javascript, etc.) which dCode owns rights can be transferred after sales quote. So if you need to download the Index of Coincidence script for offline use, for you, your company or association, see you on contact page !

index,coincidence,counting,ic,cryptanalysis,friedman,kullback,polyalphabetic,monoalphabetic,key,repetition,letter,probability

Source : http://www.dcode.fr/index-coincidence

© 2017 dCode — The ultimate 'toolkit' to solve every games / riddles / geocaches. dCode