Witt Theorems for Linear Codes over Finite Frobenius Rings
by
Jay A. Wood
Purdue University Calumet

In the classical theory of regular quadratic forms, Witt's Theorem says that isometries defined on subspaces extend to ambient spaces. The purpose of this contribution is to explain analogous results for weight-preserving homomorphisms of linear codes over finite Frobenius rings. The methods of proof are character theoretic. There are connections to the problem of factoring the semigroup determinant of the multiplicative semigroup of a finite commutative chain ring, and there are applications to classifying linear codes of constant weight.

Date received: November 9, 1998

Copyright © 1998 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cabw-13.