One particularly useful tool for doing calculations in coding theory is the SageMath library. Below I have embedded a SageMathCell that you can use to perform calculations directly in your browser. You can use this to experiment with finite fields and matrices, among other things. I’ll embed more of these throughout the course with some examples pre-loaded. The SageMath tutorial is useful if you want to explore more features.
This calculator shows how to create a matrix over a finite field and perform some basic operations like computing its reduced row echelon form and finding its nullspace.
