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Some maximal function fields and additive polynomials
Date
2007-01-01
Author
GARCİA, Arnaldo
Özbudak, Ferruh
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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).
Subject Keywords
Algebra and Number Theory
URI
https://hdl.handle.net/11511/45904
Journal
COMMUNICATIONS IN ALGEBRA
DOI
https://doi.org/10.1080/00927870601169218
Collections
Department of Mathematics, Article
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A. GARCİA and F. Özbudak, “Some maximal function fields and additive polynomials,”
COMMUNICATIONS IN ALGEBRA
, pp. 1553–1566, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/45904.