This paper presents a construction of infinite classes of binary and p-ary hyperbent functions of polynomial trace form,based on finding a zero of a Kloosterman sum.
CAO XiWang1,2,3,& HU Lei3 1Department of Mathematics,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China
In this paper, we construct some families of strongly regular graphs on finite fields by using unions of cyclotomic classes and index 2 Gauss sums. New infinite families of strongly regular graphs are found.
