How to implement Diffie-Hellman key Exchange algorithm

This article mainly introduces the relevant knowledge of how to achieve the Diffie-Hellman key exchange algorithm, the content is detailed and easy to understand, the operation is simple and fast, and it has a certain reference value. I believe you will gain something after reading this article on how to realize the Diffie-Hellman key exchange algorithm. Let's take a look.

Diffie-Hellman key exchange algorithm is an algorithm co-invented by Whitfield Diffie and Martin Hellman in 1976.

Through this algorithm, the two parties only need to exchange some common information to generate a shared key. Isn't that amazing?

Let's look at the specific steps:

The figure above is the Diffie-Hellman key exchange algorithm. If x wants to send a message to y, if the above algorithm is used, then the following steps are required:

Generate two shared prime numbers G and P and share them in x and y.

P is a very large prime number, and G is the generator of P (the multiplier result of the generator corresponds to the number in 1~P-1).

These two numbers G and P do not need to be kept secret. It doesn't matter if it's stolen.

X generates a random number A, which is known only by x. An is an integer in a 1~P-2.

Y generates a random number B, which can only be known by y. B is an integer in a 1~P-2.

X send the result of GA mod P to y. This result need not be kept secret.

Y send the result of GB mod P to x, this result need not be kept secret

X calculate the final shared key (GB mod P) A mod P = GA*B mod P using the result of step 5 and the random number A

Calculate the final shared key (GA mod P) B mod P = GA*B mod P using the result of step 4 and the random number B

We can see that the final key calculated by 6 and 7 is the same.

Next, let's explore the security of the Diffie-Hellman algorithm:

In this algorithm, the external variables exposed are four variables, Pmag, GA, mod, P and GB mod P.

It is very difficult to generate the final GA*B mod P based on these four variables.

This problem involves the discrete logarithm problem, which is very difficult to solve. Therefore, we can believe that the Diffie-Hellman algorithm is very secure.

This is the end of the article on "how to implement the Diffie-Hellman key exchange algorithm". Thank you for reading! I believe that everyone has a certain understanding of the knowledge of "how to implement the Diffie-Hellman key exchange algorithm". If you want to learn more knowledge, you are welcome to follow the industry information channel.