Exhibit 20 of 37 WWI · June 1918 Broken

ADFGVX Cipher

Six letters, a 6×6 grid, letters AND digits — Painvin broke it in 48 hours

InventorGerman Army Signal Corps
YearJune 1918
Key Type6×6 Polybius square + columnar key
Broken ByGeorges Painvin · 48 hours of continuous work
Modern LessonLayered cipher rounds

Why This Matters

ADFGVX combined Polybius substitution with columnar transposition — the first field cipher to use fractionation for military communication. Its breaking by Georges Painvin in 48 hours under extreme pressure helped halt Germany's 1918 Spring Offensive.

📜Historical Context

ADFGVX was introduced on June 1, 1918 — three days before Germany's Gneisenau Offensive. Adding V to the five-letter alphabet created a 6×6 grid that could encode all 26 letters plus the 10 digits 0-9. This was essential for military traffic involving coordinates, unit numbers, and dates.

The timing was catastrophic for Germany. Painvin broke ADFGVX within 48 hours, reportedly losing 15 pounds from the effort. His decryption revealed German supply movements and allowed Allied forces to reposition — contributing to the offensive's failure.

⚙️How It Works
6×6 grid (A,D,F,G,V,X):
     A  D  F  G  V  X
A    p  h  0  q  g  6
D    4  m  e  a  1  y
F    n  o  f  d  x  k
G    r  3  c  v  s  5
V    z  1  7  j  2  w
X    b  t  i  l  u  8

Same two-step process: substitution → transposition
AD FG VX AD FG VX ph 0q g6 4m ea 1y no fd xk r3 cv s5 z1 7j 2w bt il u8 e → DF a → DG t → XD Letters become letter pairs → then columnar transposition
ADFGVX grid: 36 alphanumeric characters mapped to pairs of the letters A, D, F, G, V, X — then scrambled by columnar transposition
💀How It Was Broken
Traffic Analysis + Known Plaintext
Complexity: Very Hard · Broken by Painvin in 48 hours

Painvin exploited the fact that multiple messages were sent with the same daily key — a procedural failure. By comparing messages of similar length and structure, identifying probable plaintext (dates, coordinates, unit designators), and applying differential analysis, he recovered both the transposition key and the substitution square. The effort nearly killed him from exhaustion.

🔬What It Teaches Modern Cryptography
Concept from ADFGVX CipherModern Evolution
Digits in cipher alphabetModern ciphers operate on bytes (0-255) — all digit values represented
Substitution + transposition combinationAES SP-network: Substitution-Permutation per round
Daily key changesSession keys: modern protocols generate unique keys per session
Quick Facts
Exhibit20 of 37
EraWWI · June 1918
SecurityBroken
InventorGerman Army Signal Corps
YearJune 1918
Key Type6×6 Polybius square + columnar key
Broken ByGeorges Painvin · 48 hours of continuous work
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