Isometry Classes of Indecomposable Linear Codes

** Next:** Notation

# Isometry Classes of Indecomposable Linear Codes

**HARALD FRIPERTINGER, ADALBERT KERBER**

### Abstract:

*In the constructive theory of linear codes, we can restrict attention to the
isometry classes of indecomposable codes, as it was shown by SLEPIAN.
We describe these classes as orbits and we demonstrate how they can be
enumerated using cycle index polynomials and the tools already incorporated
in SYMMETRICA, a computer algebra package devoted to representation theory
and combinatorics of symmetric groups and of related classes of groups.
Moreover, we describe how systems of representatives of these classes can be
evaluated using double coset methods.
*

* Herr Fripertinger *

Sun Feb 05 17:20:29 MET 1995