Abstract | ||
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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 ℓ=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 F16 and an algorithm for producing them. |
Year | DOI | Venue |
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2013 | 10.1016/j.ffa.2014.12.001 | Finite Fields and Their Applications |
Keywords | DocType | Volume |
primary,secondary | Journal | 33 |
Issue | ISSN | Citations |
C | 1071-5797 | 0 |
PageRank | References | Authors |
0.34 | 4 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Pinar Celebi Demirarslan | 1 | 0 | 0.34 |
Ivan Soprunov | 2 | 21 | 3.68 |