Learn You Galois Fields for Great Good
Hi All, I've been writing a series on Galois Fields / Finite Fields from a computer programmer's perspective. It's essentially the guide that I wanted when I first learned the subject. I imagine it as a guide that could gently onboard anyone that is interested in the subject. I don't assume too much mathematical background beyond high-school level algebra. However, in some applications (for example: Reed-Solomon), familiarity with Linear Algebra is required. All code is written in a Literate Programming style. Code is written as reference implementations and I try hard to make…
Learn You Galois Fields for Great Good launched on May 1, 2025 with 5 votes and more than 75% of that year's launches. The site was still online in September 2026, 1 year on.
What it does
This is the introduction to a series on Abstract Algebra. In particular, our focus will be on Galois Fields (also known as Finite Fields) and their applications in Computer Science. This is a project I've been excited about for many years now, but have been too busy to dedicate the adequate effort to meet my perfectionism standards (yay perfectionism!). Many moons back I was self-learning Galois Fields for some erasure coding theory applications. I was quite disappointed with the lack of accessible resources for computer scientists. Many resources assumed either: Unfortunately, Abstract Algebra is not standard subject matter in most computer science curriculums. Often computer science…from xorvoid.com
In the maker’s words, at launch
Hi All, I've been writing a series on Galois Fields / Finite Fields from a computer programmer's perspective. It's essentially the guide that I wanted when I first learned the subject. I imagine it as a guide that could gently onboard anyone that is interested in the subject. I don't assume too much mathematical…
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