Document Type
Article
Publication Date
12-23-2014
Publication Title
Fintie Fields and Their Applications
Abstract
In this paper we study duality for evaluation codes on intersections of ℓ hypersurfaces with given ℓ-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 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 and an algorithm for producing them.
Repository Citation
Demiraslan, Pinar Celebi and Soprunov, Ivan, "On Dual Toric Complete Intersection Codes" (2014). Mathematics Faculty Publications. 273.
https://engagedscholarship.csuohio.edu/scimath_facpub/273
DOI
10.1016/j.ffa.2014.12.001
Version
Postprint
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Volume
33