Title
On dual toric complete intersection codes.
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 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
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 Demirarslan100.34
Ivan Soprunov2213.68