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- Alice, Bob and Charlie have a secret key a=3, b=4, c=5, in that order.
- They would like to find a common secret key using Diffie-Hellan key exchange protocol (with g=2, p=5).
- Suppose that there is no man-in-the-middle attacker.
- Demonstrate how they can share a common secret key with the above mentioned numbers.
Use the Chinese remainder theorem to evaluate x from the following simultaneous congruences: x ≡ 1 (mod 2); x ≡ 2 (mod 3); x ≡ 3 (mod 5). Calculate gcd(14526, 2568). (
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