Interactive Cryptography Playground

Learn and experiment with cryptographic algorithms in real-time

Educational Purpose Only

This cryptography playground is designed for educational purposes only. The implementations shown here are simplified for learning and should never be used in real cryptographic applications or production systems.

Created by Parti
@0xParticle0xParti
Mathematical Foundations
Essential mathematical concepts underlying modern cryptography

Modular Arithmetic Operations

Explore arithmetic operations in modular systems, fundamental to cryptographic algorithms.

Calculation Steps

Click "Calculate" to see steps

Extended Euclidean Algorithm

Find the greatest common divisor and express it as a linear combination.

Algorithm Steps

Click "Compute" to see steps

Key Properties

Modular Arithmetic Rules

(a + b) mod m = ((a mod m) + (b mod m)) mod m
(a - b) mod m = ((a mod m) - (b mod m) + m) mod m
(a × b) mod m = ((a mod m) × (b mod m)) mod m
a^n mod m can be computed efficiently using repeated squaring

Applications in Cryptography

• RSA encryption and decryption
• Diffie-Hellman key exchange
• Digital signature algorithms
• Hash function design