Free Tool

Index of Coincidence Calculator

Determine Cipher Type - Monoalphabetic vs Polyalphabetic Analysis

Beginner-Intermediate

πŸ“Š What is Index of Coincidence?

The Index of Coincidence (IC) is a statistical measure that helps identify the type of cipher used. It measures how likely it is that two randomly selected letters from a text are the same.

IC Value Reference:

  • English Text: IC β‰ˆ 0.067 (6.7%)
  • Monoalphabetic Cipher: IC β‰ˆ 0.067 (preserves letter frequency)
  • Polyalphabetic Cipher: IC β‰ˆ 0.038-0.045 (flattens frequency)
  • Random Text: IC β‰ˆ 0.038 (completely flat)

🎯 How to Interpret Results:

  • IC > 0.060: Likely monoalphabetic substitution (Caesar, Atbash, simple substitution)
  • IC β‰ˆ 0.038-0.050: Likely polyalphabetic cipher (VigenΓ¨re, Beaufort)
  • IC < 0.038: Possibly columnar transposition or very complex cipher
Characters: 0 | Letters: 0

πŸŽ“ How to Use This Tool

  1. Input Text: Paste your ciphertext into the text area
  2. Calculate: Click "Calculate IC" to analyze the text
  3. Interpret: Review the IC value and visual scale to determine cipher type
  4. Choose Method: Use recommendations to select the appropriate decryption tool
πŸ’» Console Command: calculateIC("your text here")

Quickly calculate IC from the browser console

πŸ“š Understanding Index of Coincidence

The Index of Coincidence was developed by William F. Friedman in the 1920s as a method to break polyalphabetic ciphers. It remains one of the most fundamental tools in cryptanalysis.

Why IC Works:

Natural language has characteristic letter frequencies (E is common, Z is rare). Monoalphabetic ciphers preserve these frequencies, just with different letters. Polyalphabetic ciphers flatten the frequency distribution by using multiple alphabets, making the text appear more random.

The Mathematics:

IC is calculated as: IC = Ξ£(ni(ni-1)) / (N(N-1))

Where ni is the frequency of each letter and N is the total number of letters.