Low-discrepancy sequences using duality and global function fields

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Date

2007-01-01

Author

Niederreiter, Harald
Özbudak, Ferruh

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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Subject Keywords

Algebra and Number Theory

URI

https://hdl.handle.net/11511/47278

Journal

ACTA ARITHMETICA

DOI

https://doi.org/10.4064/aa130-1-5

Collections

Department of Mathematics, Article

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Some maximal function fields and additive polynomials GARCİA, Arnaldo; Özbudak, Ferruh (Informa UK Limited, 2007-01-01) We derive explicit equations for the maximal function fields F over F-q(2n) given by F = F-q(2n) (X, Y) with the relation A(Y) = f(X), where A(Y) and f(X) are polynomials with coefficients in the finite field F-q(2n), and where A(Y) is q- additive and deg(f) = q(n) + 1. We prove in particular that such maximal function fields F are Galois subfields of the Hermitian function field H over F-q(2n) (i.e., the extension H/F is Galois).

Citation Formats

H. Niederreiter and F. Özbudak, “Low-discrepancy sequences using duality and global function fields,” ACTA ARITHMETICA, pp. 79–97, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/47278.