Diffie-Hellman calculator

Enter any known parameters and the calculator derives the rest. All arithmetic uses BigInt — values of any size are supported.

Examples:

Shared parameters

p — prime modulus

Large prime shared publicly

g — generator

Primitive root modulo p (shared publicly)

a — 🦐 Shrimp private key

Secret; only 🦐 Shrimp knows this

A — 🦐 Shrimp public key

g^a mod p — sent to 🦀 Crab

b — 🦀 Crab private key

Secret; only 🦀 Crab knows this

B — 🦀 Crab public key

g^b mod p — sent to 🦐 Shrimp

s — shared secret

B^a mod p = A^b mod p