On quadratic APN functions and dimensional dual hyperovals

Designs, Codes and Cryptography, 57 No. 1 (2010), 35-44.



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

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