Cryptosecurity, Digital Signatures, Asymmetric Cryptography, Hash Function, Secure Communication.
finite field of order q modulo p. Select a private key x (1 <= x <= q-1) and compute the public key y = g^x mod p. Signing: Choose a random nonce k (1 <= k <= q-1). Compute r = (g^k mod p) mod q. Compute s = k^(-1) * (H(m) + x*r) mod q, where H(m) is the hash of the message. The signature is the