Diffie-Hellman Key Exchange Calculator
This calculator is designed for cryptography enthusiasts and professionals to compute key exchanges using the Diffie-Hellman method.
Interactive Calculator
Calculation Results
Public Key A:
Public Key B:
Shared Secret:
Data Source and Methodology
All calculations are based on the Diffie-Hellman key exchange algorithm. For more information, visit Irongeek. All calculations are rigorously based on the formulas and data provided by this source.
The Formula Explained
The Diffie-Hellman key exchange uses the formula: A = g^a mod p and B = g^b mod p, and for the shared secret: Shared Secret = B^a mod p.
Glossary of Variables
- p (Prime Number): A large prime number used in the key calculation.
- g (Base): A generator in the group used for calculations.
- Private Key A: A private number chosen by user A.
- Private Key B: A private number chosen by user B.
How It Works: A Step-by-Step Example
Consider a prime number p = 23, base g = 5, private key A = 6, private key B = 15. The public keys computed are A = 5^6 mod 23 = 8, B = 5^15 mod 23 = 19. The shared secret is B^a mod p = 19^6 mod 23 = 2.
Frequently Asked Questions (FAQ)
What is Diffie-Hellman Key Exchange?
Diffie-Hellman Key Exchange is a method of securely exchanging cryptographic keys over a public channel.
Why is it secure?
It relies on the difficulty of computing discrete logarithms, making it hard to derive private keys from public information.
Can I use any numbers?
No, you must use a large prime number and a base that is a primitive root modulo the prime.
What are public and private keys?
Public keys can be shared openly, while private keys must remain confidential.
How do I ensure security?
Use sufficiently large prime numbers and keep your private keys secret.