Article ID Journal Published Year Pages File Type
4583431 Finite Fields and Their Applications 2008 6 Pages PDF
Abstract

We present a general criterion for near bent functions to be bent on a hyperplane. Let n=3k±1 be odd and let d=k4−k2+1. We show that the Kasami–Welch function Tr(xd) is a bent function when restricted to the hyperplane of trace 0 elements in Fn2.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory