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Quiz Entry - updated: 2026.03.01

How does the Caesar cipher work?

Each letter is shifted by a fixed number of positions in the alphabet — e.g., with shift 3, A becomes D.

The Caesar cipher (used by Julius Caesar around 50 BC) is a substitution cipher:

  • Encryption: shift each letter forward by the key value
    • Key = 3: A → D, B → E, C → F, ..., Z → C
  • Decryption: shift each letter backward by the same amount

Mathematically (using $\bmod 26$ arithmetic):

  • Encrypt: $c = (m + r) \bmod 26$
  • Decrypt: $m = (c - r) \bmod 26$

Where $m$ = plaintext letter, $c$ = ciphertext letter, $r$ = key (shift amount).

Why it's trivially breakable: There are only 26 possible keys (shifts 0-25). An attacker can try all of them in seconds — this is called a brute force attack. Additionally, frequency analysis instantly reveals the shift by looking at which letter appears most often (likely 'E' in English).

From Quiz: KRYPTOG / Introduction to Cryptology | Updated: Mar 01, 2026