Ctrlk
For the complete documentation index, see llms.txt. This page is also available as Markdown.

Elliptic Curve Digital Signature Algorithm (ECDSA)

This course introduces the Elliptic Curve Digital Signature Algorithm (ECDSA), the signature scheme behind Bitcoin and many secure systems.

You will explore:

  • The foundations of elliptic curve cryptography (ECC) and its key parameters (a, b, p, G, q)

  • The three main steps of ECDSA: key generation, signing, and verification

  • Why ephemeral key randomness is critical for security, and how deterministic keys (RFC 6979) strengthen reliability

  • The secp256k1 curve used in Bitcoin and signature formats that balance efficiency with authentication

By the end of the course, learners will:

  • Understand how ECDSA works in practice and why it is secure

  • Recognize its role as the backbone of trust in blockchain and digital communication

This course is beginner-friendly and designed to give you a clear, step-by-step understanding of one of the most important cryptographic algorithms in use today.

PreviousDiscrete Logarithm Problem with Elliptic CurvesNextIntroduction to ECDSA

Last updated