Quadratic APN functions as subspaces of alternating bilinear forms

Abstract

In this note we illuminate and apply the equivalence of quadratic APN functions to certain subspaces of alternating bilinear forms. These subspaces can be characterized by the rank-distance of the dual subspace, or equivalently , as the subspaces of 2 F m 2 avoiding the variety of elements of rank 2. Or, in the geometric language, as subspaces external (or… (More)

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