Reed Solomon Codes: Basics and Applications

This lecture covers Reed Solomon Codes, discussing their power, linearity, parameter flexibility, construction, and decoding algorithms. It explores their applications in storage devices, digital broadcast, modems, deep space communication, and wireless technologies. The lecture also delves into the definition of polynomials over finite fields, interpolation problems, and the roots of polynomials. Additionally, it explains the Fundamental Theorem of Algebra and the relationship between the degree of a polynomial and the number of its distinct roots.