Elleptic Curve Cryptography

Elliptic Curve Cryptography (ECC) is a public-key cryptographic method that secures data using the mathematics of elliptic curves over finite fields. Its strength lies in the Elliptic Curve Discrete Logarithm Problem (ECDLP), which makes deriving the private key from the public key practically impossible. Defined by the equation 𝑦^2 = 𝑥^3 + 𝑎𝑥 + 𝑏 mod p WHERE 4a^3 + 27b^2 != 0 mod p... p is a prime number. ECC offers high security with smaller key sizes, faster performance, and lower resource use compared to RSA. It’s widely used in blockchain, digital signatures (ECDSA), and secure communications (TLS/SSL) for efficient encryption, authentication, and key exchange in modern digital systems.