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THE CRYPTOGRAPHIC MATHEMATICS OF ENIGMA

1995/01/01 by Allen R. Miller · 2 citations
Computer Science · Social Sciences · #Chaos-based Image/Signal Encryption #Cipher #Computer science #Computer security #Cryptographic Implementations and Security #Cryptography #Encryption #Intelligence, Security, War Strategy #Key (lock) #Running key cipher #Theoretical computer science

paper · doi:10.1080/0161-119591883773

openalex publication_date 1995/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

The Enigma cipher machine had the confidence of German forces who depended upon its security. This misplaced confidence was due in part to the large key space the machine provided. This paper derives for the first time the exact number of theoretical cryptographic key settings and machine configurations for the Enigma cipher machine. It also calculates the number of practical key settings Allied cryptanalysts were faced with on a daily basis throughout World War II. Finally, it shows the relative contribution each component of the Enigma added to the overall strength of the machine.

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