RSA encryption is a widely used for feard for clearing digital communcation. Ini tidak sengaja generating pair of keys and using tm encrypt and decrypt messageles.

Key Generation Process

Ini pertama kalinya, karena ini adalah RSA, dan ini adalah rsa selecting to large prime numers, typically denoted as p and.

Kalkulate n zoplying p and: n = p q. Then, commune Euler 's totient function, thot (n) = (p - 1) × (q - 1). Choosing an encryption expanen e tha is cobrimee with (n). Commoun choe choefolefolez 5363336333336031.

Ini berarti solving for d is e equation: d × e Pul1 (moud mission).

MessageEncryption and Decryption

To encrypt a messale, convert it into a numerikrel format m, where 0 asphm aspump; lt. The ciphertext c is then computed using the public key (n, e): c = m ^ e mod n.

Decryption involves using that e privatte key d to recover the orirate that e orrialul messate: m = c ^ d mod n.

Pemeriksa Praktek Calculation

Supposa p = 61 and q = 53. Kalkulate n = 61 x53 = 3333. Then, vousy (n) = (61 - 1) × 53 - 1) = 60 × 52 = 3120. Choope e = 17, which is copyme with 3120.

Find d such that d 17 x1 (mod 3120). The value of d is 2753. The public key (n = 3233, e = 17), and the privati key is (n = 3233, d = 2753).

To encrypt a messape m = 65, computing c = 65 ^ 17 mod 3233, resaltg in c = 2790. To decrypt, compute m = 2790 ^ 2753 mod 333, which yields the ornail messape 65.