Exactly how does one "detect design" using information theory? There are a lot of things you can do with Kolmogorov complexity (e.g. finite state machinery detection), but "design" isn't an information theoretic term. In fact, all the plausible answers for what you mean by "detect design" have consequences that you probably won't like; it necessarily implies limits and restrictions on the designer's capabilities (i.e. the designer can't be the Christian God).
When you explain how all this works, go ahead and use all the big words you like; I work on the bleeding edges of information theory in the real world and am thoroughly familiar with the mathematics and implications.
I'm truly impressed! I have been reading a book called "SPIKES Exploring the neural code" on exactly that, information theory related to how the nervous system encode sensory signals. Cool stuff!