1). Using the Web or other resources, write a brief paper a…
1). Using the Web or other resources, write a brief paper about RSA, its history, its methodology, and where it is used. 2). Send a brief message (ten words minimum) using the Caesar Cypher. Note your safe assign score. Score should be less than 25
Answer
RSA (Rivest-Shamir-Adleman) is a widely used public-key encryption algorithm that provides a high level of security for transmitting sensitive information over networks. It was first developed by Ron Rivest, Adi Shamir, and Leonard Adleman in 1977, and has since become one of the most commonly used encryption algorithms.
The RSA algorithm is based on the mathematical concept of modular arithmetic and utilizes the properties of prime numbers. It involves the use of two large prime numbers, p and q, which are multiplied together to generate a modulus, N. The security of RSA is based on the fact that factoring large composite numbers into their prime factors is a computationally difficult problem.
One of the key aspects of RSA is its use of public and private key pairs. The public key is used to encrypt the data, while the private key is used for decryption. The public key can be freely shared with anyone, while the private key must be kept secret. This allows anyone with the public key to encrypt data that only the holder of the corresponding private key can decrypt.
The RSA algorithm works as follows:
1. Generate two large prime numbers, p and q.
2. Calculate the modulus, N, as the product of p and q.
3. Calculate the totient of N, φ(N), as (p-1)(q-1).
4. Choose a public exponent, e, that is coprime (has no common factors) with φ(N).
5. Compute the private exponent, d, such that (e * d) mod φ(N) = 1.
6. The public key is (e, N) and the private key is (d, N).
To encrypt a message, M, using RSA, the sender applies the public key, (e, N), to obtain the ciphertext, C, where C = M^e mod N. To decrypt the ciphertext, the receiver uses the private key, (d, N), to obtain the original message, M, where M = C^d mod N.
RSA has been widely adopted in various applications and industries. It is commonly used in secure communication protocols like SSL/TLS for encrypting data transmitted over the Internet. It is also used in digital signatures to ensure the authenticity and integrity of messages. Additionally, RSA is used in secure email systems, virtual private networks (VPNs), and secure file storage.
In conclusion, the RSA algorithm is a powerful public-key encryption algorithm that provides a high level of security for transmitting sensitive information. Its mathematical foundation and usage of prime numbers make it difficult to break through traditional means. Its significance and widespread use can be seen in various applications where security and confidentiality are paramount.