Cover-free codes and separating system codes |
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| Authors: | A G D’yachkov I V Vorobyev N A Polyanskii V Yu Shchukin |
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| Institution: | 1.Department of Mathematics and Computer Science,Eindhoven University of Technology,Eindhoven,The Netherlands;2.Dipartimento di Matematica e Fisica,Seconda Università degli Studi di Napoli,Caserta,Italy |
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| Abstract: | A set \(T\subset {GF(q)}\), \(q=p^h\) is a super-Vandermonde set if \(\sum _{y\in T} y^k=0\) for \(0< k <|T|\). We determine the structure of super-Vandermonde sets of size \(p+1\) (almost small) and size \(q/p-1\) (almost large). |
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