A method for reducing the number of unknown coefficients of generalized Hamming weight enumerators

Abstract

We describe a combinatorial method for deriving linear equations, involving coefficients of generalized Hamming weight enumerators (GHWEs) of even isodual codes, that are linearly independent from the Klove (1992) identities. These equations can be combined with some other results derived by the first author to compute the complete set of GHWEs of many isodual codes. The approach presented is based on the "gluing" theory of Pless (1998) and also applies to formally self-dual codes, but is simplest to describe for self-dual codes.