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Discrete math, with its focus on finite sets, logic, algorithms, and especially number theory, is an essential foundation to the field of cryptography.

Cryptography

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Cryptography is the science of encoding and decoding messages to keep these messages secure. It is an essential method for protecting information in computer systems.

Introduction to Cryptography

Cryptography is an essential way of securing communication and data in the digital world. It involves converting plaintext into ciphertext (encryption) and converting the ciphertext back into plaintext (decryption).

Types of Cryptography

There are mainly three types of cryptography: Symmetric-key cryptography, Public-key cryptography, and Hash functions.

  • Symmetric-key cryptography: The same key is used for both encryption and decryption processes.
  • Public-key cryptography: It involves two keys, a public key for encryption and a private key for decryption.
  • Hash functions: These are special functions that convert an input into a fixed string of digits, the hash, which is unique to each unique input.

Applications of Cryptography

Cryptography has several applications in digital communications and data security such as Secure Socket Layer (SSL), Secure Electronic Transaction (SET), Digital Signatures, etc.


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Information Security
Information security uses encryption methods and algorithms derived from cryptography to protect data and communications, making it a field that depends on cryptography.
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Computer Science
Computer science fundamentally requires the practice of cryptography to ensure data privacy and integrity
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Data Protection
With the help of algorithms and protocols in cryptography, messages are transformed for data protection
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Primes
Cryptography, especially public-key algorithms like RSA, heavily rely on the properties of prime numbers for their security.