Cryptography in The Blockchain

Cryptography is the most important component of blockchain. It is certainly a research field in itself and is based on advanced mathematical techniques that are quite complex to understand. We will try to develop a solid understanding of some of the cryptographic concepts in this section, because different problems may require different cryptographic solutions; one size never fits all. You may skip some of the details or refer to them as and when needed, but it is the most important component to ensure security in the system. There have been many hacks reported on wallets and exchanges due to weaker design or poor cryptographic implementations.

Cryptography has been around for more than two thousand years now. It is the science of keeping things confidential using encryption techniques. However, confidentiality is not the only objective. There are various other usages of cryptography as mentioned in the following list, which we will explore later:

  • Confidentiality : Only the intended or authorized recipient can understand the message. It can also be referred to as privacy or secrecy.
  • Data Integrity : Data cannot be forged or modified by an adversary intentionally or by unintended/accidental errors. Though data integrity cannot prevent the alteration of data, it can provide a means of detecting whether the data was modified.
  • Authentication : The authenticity of the sender is assured and verifiable by the receiver.
  • Non-repudiation : The sender, after sending a message, cannot deny later that they sent the message. This means that an entity (a person or a system) cannot refuse the ownership of a previous commitment or an action.

Any information in the form of a text message, numeric data, or a computer program can be called plaintext. The idea is to encrypt the plaintext using an encryption algorithm and a key that produces the ciphertext.

The ciphertext can then be transmitted to the intended recipient, who decrypts it using the decryption algorithm and the key to get the plaintext.Let us take an example. Alice wants to send a message (m) to Bob. If she just sends the message as is, any adversary, say, Eve can easily intercept the message and the confidentiality gets compromised. So, Alice wants to encrypt the message using an encryption algorithm (E) and a secret key (k) to produce the encrypted message called “ciphertext.” An adversary has to be aware of both the algorithm (E) and key (k) to intercept the message. The stronger the algorithm and the key, the more difficult it is for the adversary to attack. Note that it would always be desirable to design blockchain systems that are at least provably secure. What this means is that a system 

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