Bombe Machine: Rapid Keyspace Pruning
Polish cryptanalysts initially designed and British-American teams improved the Bombe codebreaking machine that chained multiple Enigma rotors together to rapidly test different key settings against intercepted messages.
Enigma Design Flaw: No Letter Encrypts to Itself
Enigma’s reflector design created a fundamental mathematical constraint where input letters never encrypted to themselves, allowing codebreakers to immediately eliminate one possibility for each ciphertext character.
Enigma Key Distribution: Daily Setting Sheets
Enigma operators received pre-distributed key sheets specifying daily machine configurations that all communicating parties used to align their encryption devices identically before secure transmission.
Enigma Keyspace Expansion: 150 Quintillion Settings
German military engineers continually strengthened Enigma during World War II by adding rotors and increasing rotor selection options, eventually creating machines configurable in over 150 million million million distinct ways.
Enigma Rotor Mechanics: Dynamic Path Redefinition
Enigma machines encrypted messages using rotating wheels that created variable electrical paths from input letters to output letters, with each rotor advancement redefining the substitution mapping for subsequent characters.
Information Leakage Accumulation: Compounding Differentials
Multiple independent mistakes in Enigma operations and design accumulated into progressively larger frequency distribution differentials that compounded the information leakage beyond what any single flaw created.
Operator Randomness Failure: The Bike Lock Problem
Fatigued Enigma operators made the same systematic mistakes humans make setting bike lock combinations, rotating rotor cylinders only slightly from initial positions or reusing common patterns rather than selecting truly random starting configurations.
Pseudo-Randomness Failure: Why Enigma Lost the War
German reliance on mechanical pseudo-randomness rather than true randomness from dice rolls created the exploitable patterns that allowed Allied codebreaking to anticipate Axis strategy throughout World War II.