Abstract
We obtain geometric characterizations of the dual functions for quadratic bent and vectorial bent functions in terms of quadrics. Additionally, using the zeros of the polynomial \(X^{q+1}+X+a\) which have been studied recently in the literature, we provide some examples of binomial quadratic bent functions on \(\mathbb {F}_{q^4}\) and \(\mathbb {F}_{q^6}\), where q is a power of 2.
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This research was supported by UAEU grants G00003490 and G00003491.
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Abdukhalikov, K., Feng, R. & Ho, D. Quadratic bent functions and their duals. AAECC (2022). https://doi.org/10.1007/s00200-022-00564-5
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DOI: https://doi.org/10.1007/s00200-022-00564-5