Singh argues that German overconfidence in their Enigma was the main reason for Allied crypt analysts cracking the German's monstrous cipher. However, if it were not for the involvement of the Polish in the cracking of early Enigma, the Allies would not have had valuable information to crack the cipher.
During the German invasion of Poland, Polish officials gave the British all the information they had on Enigma. This gave the British the head start they needed to further allowed crypt analysts at Bletchley Park to construct new Bombes and other methods to deconstruct the Enigma cipher. This eventually lead to innovations of technological breakthroughs such as the Colossus that ultimately helped end the war.
On another front of the war, the Americans started to use the Navajo language as a means of communication during WWII to help keep secure transmissions. This was a major stepping point for the Allies because the language was hard to make sense of due to conjugations, and it could be used quickly. Additionally, when plain text messages were hidden in another language and further encoded using other cryptographic methods, Navajo Coder Talk was borderline unbreakable. Because of all this, the Navajo Code Talkers were instrumental in pushing Americans to the Japanese coast in WWII.
Advancements made by the Allies in WWII echo their importance, even to this day. Without Polish involvement in the cracking of Enigma and the Navajo Code Talkers, the Axis powers would have had an overwhelming advantage in the war. Thanks to both of these key examples of cryptography, we can analyze their importance to give new perspectives to WWII.