Gauss Sums, Jacobi Sums, and $p$-ranks of Cyclic Difference Sets

Ronald Evans, Henk Hollmann, Christian Krattenthaler +1

We study quadratic residue difference sets, GMW difference sets, and difference sets arising from monomial hyperovals, all of which are $(2^d-1,2^{d-1}-1,2^{d-2}-1)$ cyclic diffe…