Undergraduate Math Club Seminar

GLC B122

I will define error-correcting codes over finite fields, which are important constructions in computer science and information theory. In particular, I will discuss Reed-Solomon codes; these use abstract algebra and are found in many real-world applications. I will then define algebraic geometry codes, which use curves over finite fields and the Riemann-Roch theorem, and I will discuss their good error-correcting properties.