TLDR Tech / InfoSec
An interactive intro to Elliptic Curve Cryptography
This is a technical primer on how elliptic curve cryptography works. ECC's security comes from the one-way nature of scalar multiplication, rather than from the hardness of the Elliptic Curve Discrete Logarithm Problem, while enabling much smaller keys than RSA for comparable security. The post walks through the mechanics behind point addition, finite-field arithmetic, ECDH, ECDSA, and ECIES, and highlights a key operational risk: reused ECDSA nonces can leak private keys. For security professionals, the actionable takeaway is to prefer well-vetted modern curves and implementations, ensure strong nonce handling and key generation, and remember ECC remains efficient and widely deployed today but is not post-quantum safe.
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