RSA Encryption/Decryption Calculator

This calculator helps you perform RSA encryption and decryption. It's designed for students and professionals working with cryptography, providing an intuitive interface to understand RSA operations.

Calculator

Results

Encrypted Message N/A
Decrypted Message N/A

Data Source and Methodology

All calculations are based on the standard RSA encryption formulas and methodologies. For further reading, please visit this resource. All calculations are based rigorously on the formulas and data provided by this source.

The Formula Explained

Encryption: \( c = m^e \mod n \)

Decryption: \( m = c^d \mod n \)

Glossary of Variables

How It Works: A Step-by-Step Example

Consider an RSA system with a public key (n=3233, e=17) and a private key d=413. To encrypt a message m=65, you compute the ciphertext c using the formula \( c = m^e \mod n \). To decrypt, use \( m = c^d \mod n \).

Frequently Asked Questions (FAQ)

What is RSA?

RSA is a public-key cryptosystem widely used for secure data transmission.

How are the keys generated?

Keys are generated by selecting two large prime numbers and computing their product to use in the public key.

What is the significance of the modulus n?

The modulus n is the product of two primes and is part of both the public and private keys.

Can RSA encryption be broken?

While theoretically possible, it is computationally infeasible to break RSA encryption with sufficiently large keys.

What happens if I lose my private key?

If the private key is lost, the encrypted data cannot be decrypted.

Tool developed by Ugo Candido.
Content reviewed by the Cryptography Expert Team.
Last reviewed for accuracy on: October 15, 2023.