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Titlebook: Arithmetic of Finite Fields; Third International M. Anwar Hasan,Tor Helleseth Conference proceedings 2010 Springer-Verlag Berlin Heidelber

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On Rationality of the Intersection Points of a Line with a Plane Quarticf a line such that the intersection points with . are all rational. Using another approach, we further prove the existence of a tangent line with the same property as soon as char. and . ≥ 66. + 1. Finally, we study the probability of the existence of a rational flex on . and exhibit a curious behavior when char ..
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Switching Construction of Planar Functions on Finite FieldsA function . is planar, if .(. + .) − .(.) = . has precisely one solution for all ., . ≠ 0. In this paper, we discuss possible extensions of the switching idea developed in [1] to the case of planar functions. We show that some of the known planar functions can be constructed from each other by switching.
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Arithmetic of Finite Fields978-3-642-13797-6Series ISSN 0302-9743 Series E-ISSN 1611-3349
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0302-9743 Overview: Fast track conference proceedings.Unique visibility.State of the art research978-3-642-13796-9978-3-642-13797-6Series ISSN 0302-9743 Series E-ISSN 1611-3349
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