Hello I'm looking for some guidance:
The RSA algorithm is a popular encryption method used to securely transmit data over the internet. It involves the use of public and private keys to encrypt and decrypt messages. The public key is used to encrypt the message, while the private key is used to decrypt it. The algorithm relies on the difficulty of factoring large numbers to ensure the security of the encrypted message.
Knowing m^k = 1 mod n allows for the decryption of the message by finding the value of k. This value is then used to calculate the private key, which can be used to decrypt the message. This is known as a "plaintext attack" and is one way to break RSA encryption.
Yes, there are other ways to break RSA encryption without knowing m^k = 1 mod n. These include factoring large numbers, using a side-channel attack, or exploiting weaknesses in the implementation of the algorithm.
No, it is not possible to break RSA encryption solely with the knowledge of the public key. The whole purpose of the public key is to be shared and used for encryption, while the private key remains secret and is used for decryption.
Breaking RSA encryption would have significant implications for data security and privacy. It would mean that encrypted messages could potentially be intercepted and decrypted, compromising the confidentiality of sensitive information. This is why it is crucial to constantly improve and update encryption methods to prevent attacks on data security.