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Vandermonde nets

Roswitha Hofer, Harald Niederreiter (2014)

Acta Arithmetica

The second-named author recently suggested identifying the generating matrices of a digital (t,m,s)-net over the finite field q with an s × m matrix C over q m . More exactly, the entries of C are determined by interpreting the rows of the generating matrices as elements of q m . This paper introduces so-called Vandermonde nets, which correspond to Vandermonde-type matrices C, and discusses the quality parameter and the discrepancy of such nets. The methods that have been successfully used for the investigation...

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