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 and Statistics 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