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Level 3 RSA Course - Understanding RSA Encryption

Level 3 RSA Course - Understanding RSA Encryption

RSA encryption is a fundamental concept in modern cryptography. It is based on the difficulty of factoring large prime numbers, making it a popular choice for secure data transmission. In this article, we will delve deep into the intricacies of Level 3 RSA encryption and its significance in the digital world.

What is RSA Encryption?

RSA encryption is named after its inventors, Ron Rivest, Adi Shamir, and Leonard Adleman. It is a public-key encryption algorithm that uses two keys - a public key for encryption and a private key for decryption. The security of RSA encryption relies on the difficulty of factoring the product of two large prime numbers.

Key Points about RSA Encryption:

  • Uses two keys: public key for encryption and private key for decryption
  • Security is based on the difficulty of factoring large prime numbers
  • Commonly used for secure data transmission over the internet

Understanding the RSA Algorithm

The RSA algorithm involves the following steps:

  1. Key Generation: Select two large prime numbers, p and q
  2. Compute n = p * q and φ(n) = (p-1) * (q-1)
  3. Select an integer e such that 1 < e < φ(n) and gcd(e, φ(n)) = 1
  4. Compute d as the modular multiplicative inverse of e mod φ(n)
  5. Public key is (e, n) and private key is (d, n)

Example RSA Encryption

Let's consider an example where:

Parameter Value
p 61
q 53
n 3233
φ(n) 3120
e 17
d 2753

Conclusion

Level 3 RSA encryption plays a crucial role in securing data transmission and protecting privacy in the digital age. By understanding the principles of RSA encryption and its implementation, you can enhance your knowledge of cryptography and contribute to creating a more secure online environment.

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