# 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. --- # Agent Instructions: Querying This Documentation If you need additional information that is not directly available in this page, you can query the documentation dynamically by asking a question. Perform an HTTP GET request on the current page URL with the `ask` query parameter: ``` GET https://hub.bsvblockchain.org/higher-learning/bsv-academy/bitcoin-primitives-digital-signatures/elliptic-curve-digital-signature-algorithm-ecdsa.md?ask= ``` The question should be specific, self-contained, and written in natural language. The response will contain a direct answer to the question and relevant excerpts and sources from the documentation. Use this mechanism when the answer is not explicitly present in the current page, you need clarification or additional context, or you want to retrieve related documentation sections.