On quadratic APN functions and dimensional dual hyperovals

In this paper we characterize the d-dimensional dual hyperovals in PG(2d + 1, 2) that can be obtained by Yoshiara's construction [21] from quadratic APN functions and state a one-to-one correspondence between the extended affine equivalence classes of quadratic APN functions and the isomorphism classes of these dual hyperovals.

• Type: Journal
• Year: 2010
• Where: DCC
• Authors: Yves Edel
• Keywords: Computer Graphics, D-dimensional Dual Hyperovals, DCC 2010, Dual Hyperovals, Quadratic Apn Functions