Step 1: Select two large prime numbers, p, and q.
This example uses prime numbers 7 and 11 to generate the public and private keys. This example shows how we can encrypt plaintext 9 using the RSA public-key encryption algorithm. Let's take some example of RSA encryption algorithm: Example 1: To calculate plain text m from the ciphertext c following formula is used to get plain text m. A ciphertext message c is decrypted using private key. To determine the private key, we use the following formula to calculate the d such that:.A larger message (>n) is treated as a concatenation of messages, each of which is encrypted separately. To find ciphertext from the plain text following formula is used to get ciphertext C. A plaintext message m is encrypted using public key. It means that e and (p - 1) x (q - 1) have no common factor except 1. Choose a number e less than n, such that n is relatively prime to (p - 1) x (q -1).Multiply these numbers to find n = p x q, where n is called the modulus for encryption and decryption.Select two large prime numbers, p and q.RSA algorithm uses the following procedure to generate public and private keys: RSA is the most common public-key algorithm, named after its inventors Rivest, Shamir, and Adelman (RSA). A decrypts the received ciphertext using its private key, which is known only to him.B replies to A encrypting its message using A's public key. B decrypts the received ciphertext using its private key, which is known only to B.The data to be sent is encrypted by sender A using the public key of the intended receiver.The Public key algorithm operates in the following manner: But only the user can decrypt the message using his private key. It means that everybody can send a message to the user using user's public key. The public key is well known, but the private key is secret and it is known only to the user who owns the key. The two keys are linked, but the private key cannot be derived from the public key. Decryption cannot be done using a public key. The Public key is used for encryption, and the Private Key is used for decryption. Asymmetric algorithms are those algorithms in which sender and receiver use different keys for encryption and decryption. Public Key encryption algorithm is also called the Asymmetric algorithm. To better understand RSA, lets first understand what is public-key encryption algorithm. RSA encryption algorithm is a type of public-key encryption algorithm.
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