What the hell is an elliptic curve?
a year ago
- #ECC
- #elliptic-curves
- #cryptography
- An elliptic curve is a mathematical function defined by a specific equation, usually in the form y² = x³ + ax + b, where a and b are constants.
- Elliptic curves have unique properties that allow points on them to be added together to form new points, making them useful in cryptography.
- Elliptic Curve Cryptography (ECC) is a form of public-key cryptography that uses elliptic curves to secure data, offering efficiency and strong security.
- The security of ECC relies on the Elliptic Curve Discrete Logarithm Problem (ECDLP), which is computationally hard to solve.
- ECC is more efficient than traditional methods like RSA, providing the same security with smaller key sizes, making it ideal for resource-limited devices.
- Elliptic curves are widely used in protocols like TLS and cryptocurrencies like Bitcoin and Ethereum to secure transactions and communications.