Self-dual codes over the Kleinian four group (Q1416717)

The author introduces self-dual codes over the Kleinian four group, develops their theory and makes a self-contained independent investigation of these codes. He considers weight enumerators, mass formulas, classification of odd and even self-dual codes up to length 8, extremal codes, shadows, generalized \(t\)-designs, and automorphism groups. Analogies with self-dual binary codes, lattices and vertex operator algebras are discussed.