Cipher methods Polygraphic
Morbit cipher
A Pollux variant where Morse symbols are grouped by pairs (.., .-, ./, -., --, -/, /., /-, //) and substituted with digits 1-9. Halves the ciphertext length.
- Family :
- Polygraphic
- Difficulty :
- Intermediate
- Era :
- American classical cryptography, 20th century
Also known as : Morbit · Paired Morse
The Morbit cipher is the paired variant of the Pollux cipher. The idea is elegant: rather than substituting each Morse symbol individually (., -, /), group the symbols in pairs and assign a unique digit to each of the nine possible pairs.
Principle
Three Morse symbols (., -, /) grouped by pairs yield exactly 3² = 9 pairs:
.. .- ./ -. -- -/ /. /- //
Each pair maps to a digit 1–9 by a secret permutation:
| Morse pair | Digit |
|---|---|
.. | 5 |
.- | 2 |
./ | 1 |
-. | 7 |
-- | 4 |
-/ | 9 |
/. | 6 |
/- | 3 |
// | 8 |
The key is that permutation — 9! = 362,880 possible keys, far beyond human brute force but trivial for a computer (under a second).
Example
The cleartext CIPHER encodes to Morse:
C → -.-./
I → ../
P → .--./
H → ..../
E → ./
R → .-./
Concatenated: -.-./../.--./...././.-./ — 24 symbols. Group by 2: -. -. /. ./ .- -. /. .. ./ ../ .. ./ .-. / — each pair becomes a digit per the table. A 6-letter cleartext yields a 12-digit ciphertext (half the length of Pollux).
Strengths and weaknesses
Strengths
- Half the ciphertext length of Pollux for the same input, thanks to pair grouping.
- 9 frequency classes instead of 3 — pair-frequency analysis is more delicate than Pollux’s.
- Keyspace of 9! — about 200× more than a 6-letter alphabet.
Weaknesses
- Non-uniform distribution — pairs
..,.-,/.are structurally more common in Morse, and their digit images inherit that bias. Frequency analysis on 1000+ pairs reveals the permutation. - Imperfect independence — the end of every Morse letter is always
/, which constrains the position of digits encoding*/or/.. That regularity is an attack channel. - No randomness — unlike Pollux, where multiple digits exist per symbol, here the permutation is bijective: the same cleartext always produces the same ciphertext. No protection against known-plaintext attacks.
Variants
- Pollux — single-symbol variant. See the dedicated page.
- Extended Morbit — adds Morse pairs + position-in-word, breaking the
/regularity. - Morbit + textual key — the permutation is derived from a keyword instead of being arbitrary, shrinking the keyspace but easing memorisation.
How to attack it by hand
- Count digit frequencies. On a long enough text, the three digits encoding
..,.-,/.(the most frequent Morse pairs) emerge. - Align those frequencies with a theoretical Morse distribution to identify the nine pairs.
- Rebuild the full Morse.
- Decode to the standard alphabet.
For 200+ digit messages, manual attack succeeds in 30 minutes to an hour.
In CipherChronicle
Morbit illustrates the effect of grouping: lifting the number of frequency classes (from 3 to 9) raises attack difficulty and adds an intermediate rung between Pollux and true polyalphabetic ciphers. Morbit puzzles will keep the public “9 pairs → 9 digits” table but hide the permutation — that’s where the difficulty lives.
Grid
- 1
Stream of digits
Twenty-five digits between 1 and 9 — distribution close to uniform.
- 2
Morbit hypothesis
Each digit 1-9 stands for one of nine possible Morse digrams. No 0 — only nine pairs.
- 3
Permutation: 5 → .., 2 → .-, 7 → -.,...
The key is the permutation of the 9 Morse pairs onto the 9 digits. 9! = 362,880 possible keys.
- 4
Rebuild the Morse
Each digit unfolds into 2 Morse symbols — length doubles.
- 5
Message revealed
Cleartext appears after standard Morse decoding.