Cyclometer

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The Enigma cipher machine

The cyclometer was a cryptologic device designed in the end of 1936 by Marian Rejewski, of the Polish Cipher Bureau's German section (BS-4), to facilitate decryption of German Enigma ciphertext.

Cyclometer (1934), devised by Rejewski to catalogue the cycle structure of Enigma permutations.
Cyclometer (1934), devised by Rejewski to catalogue the cycle structure of Enigma permutations.

The cyclometer was used to prepare a catalog of the length and number of cycles in the "characteristics" for all 17,576 positions of the rotors for a given sequence of rotors. Since there were six such possible sequences, the resulting "catalog of characteristics," or "card catalog,", when it was ready in 1937, comprised a total of (6) (17,576) = 105,456 entries. Preparation of the catalog, writes Rejewski, "was laborious and took over a year, but when it was ready... daily keys [could be obtained] within about fifteen minutes."

Biuro Szyfrów
Cipher Bureau edit
Cryptologic methods and technology:
Enigma "doubles"GrillClockCyclometerCard catalogCryptologic bombZygalski sheetsLacida
Location:
Saxon PalaceKabaty Woods
PC BrunoCadix
Personnel:
Maksymilian CiężkiJan GralińskiJan KowalewskiGwido LangerStanisław LeśniewskiStefan MazurkiewiczWiktor MichałowskiAntoni PalluthFranciszek PokornyMarian RejewskiJerzy RóżyckiWacław SierpińskiPiotr SmoleńskiHenryk Zygalski

On November 1, 1937, however, the Germans changed the "reversing drum," or "reflector." This forced the Cipher Bureau to start over again and produce a new card catalog, "a task," writes Rejewski, "which consumed, on account of our greater experience, probably somewhat less than a year's time."

But then, on September 15, 1938, the Germans changed entirely the procedure for enciphering message keys, and as a result the card-catalog method became completely useless. This spurred the invention of Rejewski's cryptologic bomba and Zygalski's perforated sheets.

  • Władysław Kozaczuk, Enigma: How the German Machine Cipher Was Broken, and How It Was Read by the Allies in World War Two, edited and translated by Christopher Kasparek, Frederick, MD, University Publications of America, 1984, especially pp. 242 and 284-87 on the cyclometer.

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