Cryptography

The History and Mathematics of Codes and Code Breaking

Tag: Rejewski

Why did the Allies succeed in cracking the Enigma?

While most people only credit Alan Turing for cracking of the Enigma, it is important to recognize the critical role that Marian Rejewski in paving the way for the Allies’ success.

In the early days of the war, Rejewski along with the Polish Cipher Bureau were able to identify that each letter in the ciphertext was linked to a chain of letters, thus allowing them to deduce that a relationship lied between the letters. This discovery removed the mystery surrounding the aptly named Enigma as they could now discern a pattern. If a pattern is present, then it can be concluded that there was a process taken to produce that which also means that, armed with logic and a lot of hard work, the steps in that process can be deduced. Had Rejewski not made this discovery, it can be argued that Turing would never have been able to crack the Enigma as it gave him a direction to pursue and a starting position of where to do that from.

In addition to this, Rejewski’s creation of the first bomba allowed Turing to understand the importance of mechanizing the cryptanalysis of the Enigma. By using a computer to solve the Enigma, it allowed the Allies to be more efficient. And so, when Turing was finally able to crack the Enigma, due to the time saved, the information deciphered was still useful and so they were able to anticipate and prepare for Germany’s attacks.

Although Singh argues that German overconfidence is the primary reason that the Allies were able to crack the Enigma, the principal reason for the Allies success was because of Rejewski. His creativity and innovative thinking was the breakthrough that allowed the Allies to ultimately break the Enigma.

The Power Of The Individual

One of the main reasons the cryptanalysts at Bletchley Park were successful could be contributed to the German overconfidence in the Enigma machine. Their hubris blinded them, and this blinding trust in the strength of Enigma ultimately led to the German downfall. However, certain individuals also contributed to the ultimate defeat of the Germans – Hans-Thilo Schmidt and Marian Rejewski. These individual contributions would prove invaluable throughout the war.

Schmidt’s story shows the effects of the negative German culture. Because he was deemed unworthy, he was forced to leave his position on the army. In addition, his failed business and his descent into poverty left him resentful toward Germany. Had the Germans simply decided not to cut him from their ranks, they could have potentially avoided the Allies’ cracking of Enigma. Disillusioned with his country, he sought revenge. Without Schmidt’s treachery, the Allies would never have obtained a functioning Enigma machine that could function similarly to the German military machines.

Rejewski’s work at the Biuro Szyfrow introduced the importance of mathematics and logic into cryptanalysis. With his famous Rejewski Chains, he was able to crack the earlier version of Enigma before the Germans added more scramblers and plugboards to make it more difficult. His work proved that mathematics and logic were extremely important once cryptography became mechanized. The work of linguists analyzing patterns was no longer enough. Despite Rejewsi’s work being essentially useless as Schmidt had given up the German keys for months, his work made it possible for the Allies in the future war efforts to crack the new and improved German Enigma machine. This crucial information gave the Allies a head start and the confidence that Enigma could be beaten.

Without these two individuals, the Allied cryptanalysts may never have achieved victory over the Germans. Although there are many factors that contribute to their victory, the influence of brilliant individuals cannot be ignored.

A Boost of Motivation

The mindset for the Allies had changed between the First World War and the Second World War. After their success in cracking Germany’s ciphers in the First World War, the Allies felt like that could crack anything Germany tries to encipher. However, once the Germans started using the Enigma machines, the Allies were stumped. This change in attitude might be attributed to the fact that they were not in direct threat at that time so they didn’t have the motivation to try to decipher the messages. That along with the hopelessness that might come with failed attempts would make them lose motivation. Poland, however, was threatened so they had to do everything they could to decipher those messages. Therefore, with the help of Schmidt and Rejewski, they reached a breakthrough in cracking the enigma. If it wasn’t for their breakthroughs, the Allies may not have been able to crack it. Gaining that knowledge may have been the motivation they needed to fully uncover how the Enigma machine works. The Allies were also able to pick up on some keys that Germany’s operators would send. The operators would sometimes pick three consecutive letters from the keyboard which the Allies started picking up on.

Photo credit: "Enigma Machine (Bletchley Park)" by Tim Gage via Flickr CC

Photo credit: “Enigma Machine (Bletchley Park)” by Tim Gage via Flickr CC

Sometimes they would repeat the same keys and therefore the cryptanalysts would be able to predict them. Overall, cracking the Enigma took the efforts and collaboration of many individuals working as a team.

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