The aim of this experiment is to introduce the idea of polynomial-encoding of Reed-Muller Codes. The purpose of Reed-Muller codes, in the context of this present virtual lab on Modern Coding Theory, is for forward error-correction in communication systems. We present the properties of the code such as the blocklength, dimension and rate of the code.

The goal of the experiment is to help the user understand how encoding of Reed-muller codes work in a simple way . The user is expected to know basic idea about modulo-2 operations which occur on the binary field $\mathbb{F}_2$, and the basic notions of linear algebra.