Conformal-field-theoretic analogues of codes and lattices

We introduce and study completely-extendable conformal intertwining algebras. Based on results obtained in other papers, various examples are given. Duals of these algebras are constructed and nondegenerate such algebras are defined. We prove that the double dual of such a nondegenrate algebra is equal to itself. We explain using a table that these nondegenerate algebras are the correct conformal-field-theoretic analogues of linear binary codes and nondegenerate rational lattices.