The inter-allied intelligence operation Enigma - wrote a prominent American historian of cryptography - was "the greatest secret of World War II after the atom bomb" (1). The breaking of the sophisticated German machine cipher was the most spectacular event, in terms of difficulty and far-reaching consequences, in the entire history of secret writing. Operation Enigma was one of powerful weapons of the anti-Nazi war coalition but in contrast of to the atomic energy, which itself had come to light in the terrific holocaust of Hiroshima and Nagasaki in August, 1945, the secrets of the Enigma remained hidden and unknown to the public for the next almost three decades. Its details has been emerging only fragment by fragment from the darkness in which the governments concerned have felt it better to keep them.

  However, the lid of the mysterious Enigma "box" was first lifted a bit by the present writer as early as 1967. In my book "Struggle for Secrets: Intelligence Services of Poland and the Third Reich 1932-1939" (2) the reader may find documented evidence that the German Enigma had been solved in Poland already in the inter-war period. The book was duly reviewed in a Goettingen scholarly monthly,(3) and in 1970 Heinz Bonatz, formerly head of the navy radio intelligence, in his reminiscence book questioned whether the Poles had in fact broken Enigma. (4)

  Three years later, in his "Enigma: the Greatest Puzzle of the War 1939-1945" (5), France's General Gustave Bertrand supplied ample corroboration for the Polish claims and highlightened the French contribution: by giving the Poles valuable intelligence collected in Germany through an agent of their Deuxieme Bureau. Meanwhile, Bertrand's book, which ascribes "all the credit and all the glory" for breaking the German machine cipher to the Poles, was totally ignored by the British. But also there, in Great Britain, time had been growing ripe for a disclosure.

  It finally appeared in 1974, in a book, "The Ultra Secret", written by F.W. Winterbotham (6), a former RAF intelligence officer. But this book virtually begins at the point where Enigma was already broken, and continues with accounts of the dissemination, use, and impact of the Enigma-derived intelligence on the Allies'conduct of war. It gives a fairly true if, at times, blurred picture of the gigantic "intelligence factory", with its central station at Bletchley, some 70 km north of London. where intercepted German and other Axis cipher messages were turned into plain language, translated, re-edited to conceal their source, and then sent to decision-makers, ranging from Winston Churchill and his chiefs of staff to various military commands in Europe and all over the world.

  The most serious flaw of the book is a complete elimination from the Enigma picture of what was prerequisite to its very existence: the mastering by Polish mathematicians of the German secret machine cipher, and passing on the results of this work, along with the Polish-made replicas of the apparatus (the Enigma- "doubles to the French and the British during a tripartite conference in Warsaw as early as in July, 1939. The "Winterbotham story", long since discarded, follows. British Intelligence Service, sometime in 1938, contacted a Polish worker who was employed in a German factory making Enigma- machines, and persuaded him to build a big wooden model of the machine. They gave the Poles the necessary money, and the Polish Intelligence "acquired" the machine, by means not specified. Then, in the utmost secrecy, "the complete, new, electrically operated Enigma" was brought back to London. The British set to work, invented a device called the "Bronze Goddes", and were able to read German Enigma ciphers.

  The point that Winterbothams's book is completely unreliable as regards the true origins of the Enigma/Ultra would scarcely have been labored further if not for the fact that the contagion has spread. The circulation of false coin was difficult to prevent, and it was to re-appear many a time.

  But also in Great Britain, laudable attempts has been undertaken at a just and unbiased assessment of Enigma's origins and its influence upon the military operations of 1939 to 1945, as for instance in R. Lewin's "Ultra Goes to War" (1978) (7). A title- page dedication in Lewin's book reads: "To the Poles who sowed the seed and to those who reaped the harvest". Much in the same line of approach was the book of P. Calvocoressi Top Secret Ultra (1980) which centers on the organization of Bletchley with its over 9000 cryptologists, intelligence analysts, signal and security officers, technicians, and WREN clerks; and Ralph Bennett's Ultra in the West: the Normandy Campaign, 1944,45 (1980). However, an unpleasant set-back was the 1st Volume of the official British Intelligence in the Second World War: Its Influence on Strategy and Operations (1979), which is clearly downgrading the Polish and French contributions, misquoting G. Bertrand's book etc. To be sure, the authors have revised some of their false opinions in Volume 3 (2), which appeared in 1988 (!). (8)

  The earliest Polish work on the intercepted German machine ciphers had begun already in 1928, right after the system's introduction by the German Army. However, no progress was made during the next four years. Then the Polish Cipher Bureau - which was part of 2nd Section (Military Intelligence) of the General Staff - decided to recruit three young mathematicians, all of them graduates of the Mathematical Institute at the University in Poznan. To be sure they were first all given, along with twenty-odd their fellow-students, a rudimentary training in codebreaking during a special course, organized by the military. Their real aim was to find cryptological talents, the most promising of which was considered Marian Rejewski. After his graduation, he went for a one-year period of advanced study in actuarial mathematics to Goettingen and following his return, had thought at the Mathematical Institute in Poznan.

  On September 1, 1932, Rejewski and his two somewhat younger colleagues, Jerzy Rozycki, and Henryk Zygalski began work as regular employees at the Cipher Bureau in Warsaw. During the first few weeks, the young mathematicians worked on relatively simpler German Navy codes. By that time the Kriegsmarine was particularly active in Polish shore, while the German government tried to curtail the Polish rights in then-Free City of Danzig against the Versailles Treaty stipulations, in early-October, 1932, Rejewski was given a separate room and told to take a closer look at a pile of the Enigma-researchers. He was also supplied with an obsolete commercial Enigma machine, initial type, which had been bought in Germany. This, however, lacking many essential parts of the military-type machine, especially the commutator ("plug board"), was quite useless. Polish penetration into the secrets of the Enigma - remarks an American cipher expert and historian - began in ernest when Rejewski realized the applicability of some properties of permutations to his analysis of the German machine cipher. (10)

  The whole complicated process of mastering the secrets of the German Enigma, that was ultimately concluded in the first days of January, 1933, included combination of mathematics, statistics, computational ability and inspired guesswork. An erroneous view has been reiterated in various publications that the breaking of Enigma was a one-time feat. In fact, it involved two distinct matters:
First, the theoretical reconstruction of the cipher device itself. The most important matter was determining Enigma's electric wiring, then the intricate interdependence between different components of the machine: the exchangeable rotors, the so called entry ring, the commutator etc. This knowledge enabled the Poles to build doubles of Enigma that made it possible to read German enciphered radio communication.
  Second, the elaboration of methods for recovering the Enigma keys (starting positions) exclusively on the basis of intercepts.

  Success could not have been more timely. Just under way in Germany was the Nazi campaign that on 30 January 1933 would deliver power into Hitler's hand.

  The only British book dealing with cryptological "nuts and bolts" of the Enigma/Ultra: The Hut Six Story: Breaking the Enigma Codes written by Gordon Welshman (9), the Cambridge mathematician and, along with Alan Turing, one of the leading lights at Bletchley, could not be published in Great Britain because it was banned by the Official Secrets Act. The book, that eventually appeared, with considerable delay, in USA (Welshman became an American citizen after the war), is the only publication by a former Bletchley codebreaker who pursues the way of Enigma research already paved by Marian Rejwski. His first comprehensive report on how the Enigma system was broken, including full mathematical proof, Rejewski ad completed in 1942 in southern France while working in the clandestine French- Polish center ("Cadix") (10) and its first printed version appeared as Appendix to my book W kregu Enigmy (The Enigma Circle) in 1979. Anyway, in his The Hut Six Story Welshman unequivocally states that the British Ultra "would never have gotten off the ground if we had not learned from the Poles, in the nick of time, the details both of the German military Enigma machine, and of the operating procedures that were in use." (11)

  Welshman's appreciative words find also a strong corroboration in a comment, written by an American cryptology expert to Rejewski's article, which in 1981 appeared in USA in the Annals of the History of Computing (Volume 3, n.3, July 1981) and reads as follows: "No doubt practitioners of group theory should introduce this property of permutations (which had been applied by Rejewski - W.K.) to students as "the theorem that won World War II". Of course, actually solving the Enigma traffic via statistical analysis, table look-u or mechanical computation (the Poles used all these methods) was an immense undertaking - one that no other county was up to at that period of history. At the same time Rejewski and his compatriots were busting Enigma traffic on a ongoing basis, the only cryptanalatic technique available was a method known as "cliques on the rods to the British or the "baton" method to the French".

  Although the opinions or assessments of historical facts and developments made by politicians and statesmen may occasionally be subject to political considerations, they no doubt do reflect the well-balanced and generally accepted views, based on expert investigations. "Before Poland fell - said George Bush while addressing his huge audience in Gdansk in August 1989, on the eve of the 50-th anniversary of the outbreak of World War II - you gave the Allies Enigma the Nazi's secret coding machine. Breaking the unbreakable Axis code saves tens of thousand Allied lives, American lives; and for this, you have the enduring gratitude of the American people. And ultimately, Enigma and freedom fighters played a major role in the winning the Second World War". (12)

  Historians will, no doubt, long debate exactly what was the influence upon the course of the Second World War the Allies' ability to read German machine ciphers. Verdicts will range between a significant speeding up of the ultimate outcome, with the saving of untold thousands of lives, and what some of the highest Allied commanders termed a decisive impact on the results of many campaigns, battles and operations.

N O T E S
* 1. D. Kahn, Enigma Unwrapped. New York Time Book Review, 29.XII.74
* 2. W. Kozaczuk, Bitwa o tajemnice. Sluzby wywiadowcze Polski i Rzeszy Niemieckiej 1922-1939, Warsaw 1967. A fourth ed. 1977
* 3. Ostliteratur - Anzeiger, Hrsg. vom Goettingen Arbeitskreis, Holzner Verlag, Wurzburg, Jahrgang XIII, Heft 3, 3.VI.1967
* 4. H. Bonatz, Die deutsche Marine - Funkaufkl/Drung 1914- 1945, Darmstadt, 1970
* 5. G. Bertrand, Enigma ou la plus grande Enigme de la guerre 1939-1945, Paris, 1973
* 6. F. Winterbotham, The Ultra Secret, London, 1974
* 7. R. Lewin, Ultra Goes to War, London, 1978
* 8. F.H. Hinsley et al., British Intelligence in the Second World War: Its Influence on Strategy and Operations, London, Her Majesty's Stationary Office, 1, 1979 to 4, 1988
* 9. G. Welshman, The Hut Six Story: Breaking the Enigma Codes, New York 1982
* 10. Report of Cryptological Work on the German Machine Cipher, Manuscript written in Uzes, France, 1942
* 11. G. Welshman, ibid
* 12. Presidential Documents, Volume 25 - Number 29, Washington, July 24, 1989

R e f e r e n c e s
* W. Kozaczuk, Enigma: How the German Machine Cipher Was Broken, and How It Was Read by the Allies in World War Two, University Publications of America, 1984; Arms and Armour Press, London, 1984.
* Geheimoperation Wicher. Polnische Mathematiker knacken den deutschen Funkschlussel Enigma, Bernard und Graefe, Koblenz 1989.

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