Abstract
Almost perfect nonlinear (APN) functions have good properties and are widely applied in sequence design and coding theory. Budaghyan and Carlet (2008) [5] constructed a family of APN hexanomials F3 over F22m with a certain technical condition. In this article, we give the number of APN hexanomials F3 and support a determination theorem for APN hexanomials F3 if i=1. Moreover, we construct a family of APN functions in bivariate form and show it is CCZ-equivalent to F3.
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