Fintie Fields and Their Applications
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.
Demiraslan, Pinar Celebi and Soprunov, Ivan, "On Dual Toric Complete Intersection Codes" (2014). Mathematics Faculty Publications. 273.
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