Codebusters Test Codebusters Frequency Analysis Techniques 1 — Questions and Answers
Question 1: In English, which letter appears most frequently and is often the first target when performing frequency analysis on a monoalphabetic cipher?
- E (Correct answer)
- T
- A
- O
Correct answer: E
The letter E is the most frequent letter in English, accounting for roughly 12-13% of all letters, making it the primary target in frequency analysis.
Question 2: What is the most common two-letter combination (digraph) in English, often used as a frequency analysis clue?
- TH (Correct answer)
- ER
- AN
- IN
Correct answer: TH
TH is the most common digraph in English, appearing far more often than any other two-letter pair, and is a key clue in breaking substitution ciphers.
Question 3: When analyzing an Aristocrat cipher, a single-letter word in the ciphertext most likely represents which plaintext letter?
- A or I (Correct answer)
- E or O
- T or S
- N or R
Correct answer: A or I
In English, the only common single-letter words are 'a' and 'I', so a lone ciphertext letter almost always decodes to one of these.
Question 4: Which statistic measures the probability that two randomly chosen letters from a ciphertext are the same, helping identify whether a cipher is monoalphabetic or polyalphabetic?
- Index of Coincidence (Correct answer)
- Chi-squared score
- Kasiski distance
- Entropy value
Correct answer: Index of Coincidence
The Index of Coincidence (IC) is approximately 0.065 for English monoalphabetic text and near 0.038 for random/polyalphabetic text, distinguishing the two cipher types.
Question 5: In a Patristocrat cipher (no word breaks), which technique helps identify word boundaries after partial decryption?
- Looking for repeated letter patterns that match common words (Correct answer)
- Counting every 5th letter
- Reversing the ciphertext
- Applying a Vigenère key
Correct answer: Looking for repeated letter patterns that match common words
Since Patristocrats strip spaces, solvers look for recognizable partial plaintext sequences like 'THE', 'AND', or 'ING' to infer word boundaries.
Question 6: The three-letter sequence 'THE' is the most common trigraph in English; what is the second most common trigraph?
- AND
- ING (Correct answer)
- ION
- ENT
Correct answer: ING
After 'THE', the trigraph 'ING' is the next most frequent in English, appearing as the gerund suffix in countless words.
In English, which letter appears most frequently and is often the first target when performing frequency analysis on a monoalphabetic cipher?