There is little doubt that the success of Ultra contributed to shortening the war. This is from war and cipher historians alike. To say it was the one factor, as some fans of cipher breaking would have it, is inaccurate but it was absolutely a factor. The British breaking of Enigma and Lorentz, the US breaking of Japanese codes was of immense importance on tactical and strategic levels.
Some allied codes were broken but others were not broken. If you are interested in one such code the axis never broke, read up on the Navajo code talkers, one of the more exciting stories about ciphers in war.
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