Unbreakable
If Enigma had been used properly it would have been unbreakable (even today), in most cases it was the lazyness of the operators that allowed us to "crack the code".
Blighty's communications eavesdropping nerve centre GCHQ has issued two papers written by superboffin Alan Turing on the maths behind code-breaking. The documents, held in secret for 70 years, laid the foundations for the quick and efficient decryption of Nazi Enigma-scrambled messages - a breakthrough that lopped about two …
There were still inherent design flaws in the machine. For example, the fastest moving wheel was on the right-hand (output) side of the machine. This meant that, for long stretches of messages, the whole rest of the machine could be treated as a constant, which made breaking the codes possible. You're right about human factors making it even easier, but Enigma was not perfect.
An even more fundamental design flaw in the Enigma machine is that a character cannot encipher to itself, this is because the lamp board and key board shared the connection for a given character.
Add that to its other flaws and it became possible to break it, although the 4-wheel Enigma used by the German Navy did take significant extra work to find a way in.
Not completely unbreakable if used right, but...
(Enigmas were in use for a long time after WWII... )
And the operators weren't lazy, either. They were following strict protocol.
What the Germans did wrong was that at the beginning of EVERY message, they sent an 'offset' code giving the final 'operator decided' adjustment of the daily code. then they incredibly enough REPEATED that 'offset'.
Germans were nothing but thorough... After all, there was the chance that the first few codes were misread by the receiver...
They correctly assumed that long messages was bad, though, and that a lot of short messages sent on the same day, using the exact same code would be just as bad. They just screwed up on how to do the 'offset' key exchange.
Maybe lazy was the wrong word though I remember something about an operator having to re-send a long message and he didnt bother to change the rotor settings or something which helped Bletchley Park decrypt the message, also they always started with a station weather report which had a limited number of variables which aided decrypting, and another bored operator who simply pressed the same letter many times for some reason which also aided Bletchley Park to work out the rotor settings, my memory is a bit fuzzy about the details, mostly it seemed to be human error compounded by the official method/system of using Enigma not being the most secure.
This piece of work is powerful despite the use of a primitive typewriter and pen, and lack of use of Powerpoint, MathCad, Word etc. These days it would most likely be given scant attention and disregarded as an 'unprofessional' piece of work.
How we have lost our way with all these modern 'productivity' tools, which are for the most part exactly the opposite. Turing would have utterly rejected them, I'm sure!
"How we have lost our way with all these modern 'productivity' tools, which are for the most part exactly the opposite. Turing would have utterly rejected them, I'm sure!"
Er - we are talking about a chap who could read 32 character hexadecimal in reverse and do mental arithmetic with the numbers. This is the same geezer who arrived at the concept of a universal machine, a concept now referred to as a Turing Machine. We refer to devices with enough computing power and programmability to run arbitrary algorithms as Turing Complete.
I think he would have been amazed and delighted by modern technology, and would have used symbolic computation to the utmost to construct some of the objects he used logic to prove statements about.
(Just call me Keith for now, got to be careful)
"In December 1932, the Polish Cipher Bureau first broke Germany's military Enigma ciphers. Five weeks before the outbreak of World War II, on 25 July 1939, in Warsaw, they presented their Enigma-decryption techniques and equipment to French and British military intelligence.[3][4][5] "
http://en.wikipedia.org/wiki/Enigma_machine
All this talk about Enigma and Turing and never even a word about who actually cracked the code. :(
There were several enigma codes and I don't think the Poles broke all of them. The navy code was particularly vital for defeating the U-boats. I believe that even with all the brilliance and equipment, they still needed cribs to break the codes quickly, which were usually obtained in the field or at sea at great personal risk to those involved