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 Xq+1+X+a which have been studied recently in the literature, we provide some examples of binomial quadratic bent functions on Fq4 and Fq6, where q is a power of 2.
Original language | English |
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Pages (from-to) | 507-523 |
Number of pages | 17 |
Journal | Applicable Algebra in Engineering, Communications and Computing |
Volume | 35 |
Issue number | 4 |
DOIs | |
Publication status | Published - Jul 2024 |
Keywords
- 51E15
- 51E20
- 94A60
- Bent functions
- Duals of bent functions
- Quadratic bent functions
ASJC Scopus subject areas
- Algebra and Number Theory
- Applied Mathematics