# ECDSA Prerequisites This course introduces the **mathematical foundations** needed to understand the **Elliptic Curve Digital Signature Algorithm (ECDSA)**. You will explore: * **Modular arithmetic** and how numbers “wrap around” * **Groups, rings, and finite fields** as the building blocks of abstract algebra * The **Discrete Logarithm Problem (DLP)** and why it is hard to solve * The **Elliptic Curve DLP (ECDLP)** and its role in cryptography * **Elliptic Curve Cryptography (ECC)** basics: point addition, point doubling, and scalar multiplication By the end of the course, learners will: * Understand the **concepts that make ECDSA secure** * Be familiar with the **structure and properties of elliptic curves** * Build confidence in tackling the **ECDSA algorithm** itself This course is designed for **beginners in cryptography**. No advanced math background is required — just curiosity and an interest in how cryptography works. **Note:** This chapter introduces some mathematical concepts that may feel abstract at first. You don’t need to retain every detail — the goal is to provide a complete resource for those who want to explore deeper. Read through it at your own pace; there is **no rigorous assessment** for this material. --- # 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/ecdsa-prerequisites.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.