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Interpolation in affine and projective space over a finite field

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Hellus, Michael ; Waldi, Rolf
Date of publication of this fulltext: 14 Oct 2013 08:23


Let s(n, q) be the smallest number s such that any n-fold Fq-valued interpolation problem in Pk Fq has a solution of degree s, that is: For any pairwise different Fq-rational points P1, . . . , Pn there exists a hypersurface H of degree s defined over Fq such that P1, . . . , Pn−1 ∈ H and Pn 6∈ H. This function s(n, q) was studied by Ernst Kunz and the second author in [KuW] and completely ...


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