Importance of Cryptography

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I. INTRODUCTION
The wrong message in wrong hands can alter the course of history. Fast forward to 1945, cryptography was rampant. The Germans were using Enigma machines, making it almost impossible for the Allies to decode their messages, or so they thought. Little did the Germans know that the Allies were able to decode it, exposing war plans and helping end the war. The Allies nicknamed all intelligence involving Germans “Ultra”. Using Ultra, Allies were able to find German naval and land positions and take out land installations when the enemy least expected it. While the physical device was almost uncrackable, a leak in 1931 when the German Defense ministry gave the French manuals of the Enigma machine led to their downfall [1]. Using the manual the Allies created a replica, allowing any code to be read. Looking back on this, we can learn how easy it is to screw up a theoretically perfect cipher through human error.
The word cryptography comes from the Greek word of kryptos, meaning hidden. The idea behind cryptograph is to allow two people to communicate in secret without others reading or altering the message. Even if an outside person somehow intercepts this message, they will not be able to translate it into readable form effectively ending any leak of information. Early code involved ciphers (keys) that simply moved the alphabet over a couple of letters by a set amount that both the sender and recipient would both know. While that sort of encryption can easily be cracked today, we have many advanced methods to shield our outflow of information. Cyber security is a huge field in computer science that will only grow as human come up with evermore-complex coding methods.
II. FUNDAMENTALS
Three main ideas exist in cryptograph...

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... to authenticate who sent the message using a digital certificate. When the sender transmits the information to the recipient, they also include a signature (digital certificate) encrypted with their public key. One the recipient gets the encoded digital certificate, the sender’s public key is used to verify if the sender is really who they identify themselves as [11].
IV. PROMISE AND LIMITATIONS
Cyber security is an important part of our growing world. More business is conducted through the internet than ever before. Therefore, it is important to keep our information secure, because currently information is a commodity.
A need for cryptography will never wane. There is always data that needs has to be encrypted and in our lifetimes, it will only get faster and easier. As more progress is made in the field of mathematics, new algorithms form from those discoveries.

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