 Categorial information theory is precipitated by giving the Lambek calculi an informational semantics. At a suitable level of abstraction, the Lambek calculi is seen to be a highly expressive substructural logic. Unsurprisingly, by giving an informational semantics for substructural logics in general, we get a family of logics that exemplify the information as code approach. This logical family is organised by expressive power, with the expressive power of the logics in question being captured by the presence of various structural rules. 