Example of encryption key pair algorithm?

In summary, encryption with a public key can only be decrypted with the corresponding private key and this is due to the use of mathematical one-way functions, where it is easy to perform the operation in one direction but difficult to reverse it.
  • #1
CosmicVoyager
164
0
Greetings,

I know that when encrypting something with the public key of a key pair, the encrypted data can only be decrypted with the private key of the pair. And it can not be decrypted with the public key that was just used.

I do not understand how it is possible to perform a mathematical operation on a number, but then not be able to reverse the operation to get the original value.

How is it that, knowing exactly what operations were performed, you can not undo them and get the original value?

Can someone give a very simple example of such an operation?

Thanks
 
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  • #2
You might try reading One-way function. A simple example: multiplying two prime numbers together is easy, but if you are given the product and asked to find the two prime factors it is very difficult (i.e. takes a long time) if the number is a very, very large one.
 

1. What is an encryption key pair algorithm?

An encryption key pair algorithm is a mathematical process used to generate a pair of cryptographic keys - a public key and a private key - that are used to encrypt and decrypt data. This ensures secure communication between two parties.

2. How does an encryption key pair algorithm work?

An encryption key pair algorithm uses a combination of mathematical operations, such as prime number factorization and modular arithmetic, to generate a unique pair of keys. The public key is shared with others, while the private key is kept secret by the owner.

3. What is the difference between a public key and a private key?

A public key is used to encrypt data and can be shared with anyone. It is also used to verify the digital signature of a message. A private key, on the other hand, is used to decrypt data and must be kept secret by the owner to maintain the security of the encrypted data.

4. Can an encryption key pair algorithm be cracked?

It is extremely difficult to crack an encryption key pair algorithm, especially with modern algorithms that use very large prime numbers. However, as technology advances, it is possible that new methods of cracking may be developed. This is why it is important to periodically update encryption methods.

5. What are some common examples of encryption key pair algorithms?

Some common examples of encryption key pair algorithms include RSA, Diffie-Hellman, and Elliptic Curve Cryptography. These algorithms are widely used in various security applications, such as online banking, messaging, and data protection.

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