How did they get over the catch-22 that if they used the information that Nazis could guess it came from breaking the code but if they didn’t use the information there was no point in having it.
EDIT. I tagged this as mathematics because the movie suggests the use of mathematics, but does not explain how you use mathematics to do it (it’s a movie!). I am wondering for example if they made a slight tweak to random search patterns so that they still looked random but “coincidentally” found what we already knew was there. It would be extremely hard to detect the difference between a genuinely random pattern and then almost genuinely random pattern.
In: Mathematics
Mostly they’d just come up with some other way they might have known where the enemy troops were, and plant information that seems to confirm that instead of the real reason.
For example, if they knew that a Nazi naval unit would be in a certain place, they’d make sure an Allied spotter aircraft flew over shortly before they attacked it. The Nazis would report that they’d been spotted by aircraft, and that was the end of it. The Allies also sent out a lot of fake messages to and from non-existent units of spotter planes, making it seem like there were many more than there really were, so the Nazis wouldn’t wonder why so many of their units were spotted.
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