I don't think so. It's based on information theory, which was based on the concepts of thermodynamics. Everything in thermodynamics, even temperature, is defined as a partial derivative. So the root concepts of coding theory can not even be expressed without the language of calculus.

I've posted this elsewhere already, but that's just not true:

http://www.inference.phy.cam.ac.uk/itila/

This is simply not true. Coding theory uses a bunch of calculus to prove theorems, especially where probability is involved.