On dual toric complete intersection codes
Algebraic Geometry
2015-01-05 v1 Information Theory
math.IT
Abstract
In this paper we study duality for evaluation codes on intersections of d hypersurfaces with given d-dimensional Newton polytopes, so called toric complete intersection codes. In particular, we give a condition for such a code to be quasi-self-dual. In the case of d=2 it reduces to a combinatorial condition on the Newton polygons. This allows us to give an explicit construction of dual and quasi-self-dual toric complete intersection codes. We provide a list of examples over the field of 16 elements.
Cite
@article{arxiv.1310.5061,
title = {On dual toric complete intersection codes},
author = {Pinar Celebi Demirarslan and Ivan Soprunov},
journal= {arXiv preprint arXiv:1310.5061},
year = {2015}
}
Comments
20 pages, 6 figures