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Article
On Dual Toric Complete Intersection Codes
Fintie Fields and Their Applications
  • Pinar Celebi Demiraslan, Bartin University
  • Ivan Soprunov, Cleveland State University
Document Type
Article
Publication Date
12-23-2014
Disciplines
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.

DOI
10.1016/j.ffa.2014.12.001
Version
Postprint
Creative Commons License
Creative Commons Attribution-Noncommercial-No Derivative Works 4.0
Citation Information
Pinar Celebi Demiraslan and Ivan Soprunov. "On Dual Toric Complete Intersection Codes" Fintie Fields and Their Applications Vol. 33 (2014) p. 118 - 136 ISSN: 1071-5797
Available at: http://works.bepress.com/ivan-soprunov/15/