On the Carlet’s Bivariate APN Construction and Representations of Dobbertin Power Functions

Date

2026-07-16

Author

Erleblebici, İlksen Acunalp
SINAK, AHMET
Yayla, Oğuz

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In this paper we present necessary and sufficient conditions on some families of bivariate and biprojective almost perfect nonlinear (APN) functions. In the first part, we follow the extended methods given by Calderini et al in 2021, and give necessary and sufficient conditions for Carlet’s bivariate APN functions. We also give APN-ness conditions for biprojective functions in some special cases. In the second part, we study the representation of the Dobbertin power function following methods given by Budaghyan et al. in 2022 and give new representations for this kind of functions.

Subject Keywords

APN functions, Bivariate APN construction, Dobbertin power function

URI

https://hdl.handle.net/11511/120621

Collections

Graduate School of Applied Mathematics, Article