Homogeneous weights and exponential sums

Authors

José Felipe Voloch, University of CanterburyFollow
Judy L. Walker, University of Nebraska - LincolnFollow

Document Type

Article

Date of this Version

2003

Citation

Published in Finite Fields and Their Applications, vol 9, iss 3 (July 2003), pp 310-321.

doi 10.1016/S1071-5797(03)00007-8

Comments

Copyright 2003 Elsevier. Used by permission.

Abstract

In this paper, we give a formula as an exponential sum for a homogeneous weight defined by Constantinescu and Heise [3] in the case of Galois rings (or equivalently, rings of Witt vectors) and use this formula to estimate the weight of codes obtained from algebraic geometric codes over rings.