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Frequency Analysis

Tools for frequency analysis, a cryptanalysis method studying the frequency of letters or groups of characters in a ciphered message.

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Frequency Analysis -

Tag(s) : Cryptanalysis

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Frequency Analysis

Frequency Analysis (advanced)




Target characters for frequency analysis







Items to Analyze








Analyse to perform







Mono-alphabetical substitution decryption

dCode offers a dedicated tool for decrypting an alphabetic substitution automatically:

Answers to Questions (FAQ)

What is frequency analysis? (Definition)

Frequency analysis is the study of the distribution (and count) of the letters in a text. Analysis of frequencies helps cryptanalysis and decrypting substitution-based ciphers using the fact that some letters apparitions are varying in a given language: in english, letters E, T or A are common while Z or Q are rare.

How to use frequency analysis?

Frequency analysis generates an histogram that allows decrypting a text by comparing letters frequencies in a plain text message with letters frequences in a ciphered message.

For some ngrams analyzes, use the sliding window mode:

Example: ABCD has bigrams AB, CD '(blocks mode)

Example: ABCD has bigrams AB, BC, CD '(sliding window mode)

For simple substitution, it can be useful to try replacing the most common letter in the ciphertext by the letter E, the most common letter in English, and so on. This principle is applicable only if the message is relatively long for the frequencies to be statistically significant.

When frequency analysis is useless?

Frequency analysis is less relevant when the message has been encrypted with polyalphabetic encryption (which tends to randomize the frequency of the letters), or when the encryption is homophonic (several different encrypted characters for the same plain letter) or polygrammic (groups of characters replace each letter). In these cases, the analysis does not allow a decoding but allows to filter or find the type of encryption used.

What are letter appearance frequencies in English language?

Letters by frequency of appearance in English:

E12.7 %T9.1 %A8.2 %
O7.5 %I7.0 %N6.7 %
S6.3 %H6.1 %R6.0 %
L4.0 %D4.3 %C2.8 %
U2.8 %M2.4 %W2.4 %
F2.2 %G2.0 %Y2.0 %
P1.9 %B1.5 %V1.0 %
K0.8 %J0.2 %X0.2 %
Q0.1 %Z0.1 %

For comparison purposes, here are letters frequency in French:

E17.3 %P3.0 %A8.4 %
G1.3 %S8.1 %V1.3 %
I7.3 %B1.1 %N7.1 %
F1.1 %T7.1 %Q1.0 %
R6.6 %H0.9 %L6.0 %
X0.4 %U5.7 %J0.3 %
O5.3 %Y0.3 %D4.2 %
K0.1 %C3.0 %W0.1 %
M3.0 %Z0.1 %

Source code

dCode retains ownership of the online "Frequency Analysis" source code. Except explicit open source licence (indicated CC / Creative Commons / free), the "Frequency Analysis" algorithm, the applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or the "Frequency Analysis" functions (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) and all data download, script, copy-paste, or API access for "Frequency Analysis" are not public, same for offline use on PC, tablet, iPhone or Android ! Remainder : dCode is free to use.

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NB: for encrypted messages, test our automatic cipher identifier!

Questions / Comments

Thanks to your feedback and relevant comments, dCode has developed the best 'Frequency Analysis' tool, so feel free to write! Thank you!


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