On the max min of the algebraic degree and the nonlinearity of a Boolean function on an affine subspace
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929734983614464 |
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| author | Haugland, Jan Kristian |
| author_facet | Haugland, Jan Kristian |
| contents | We investigate the max min of the algebraic degree and the nonlinearity of a Boolean function in $n$ variables when restricted to a $k$-dimensional affine subspace of $\mathbb{F}_2^n$. Previous authors have focused on the cases when the max min of the algebraic degree is 0 or 1. Upper bounds, lower bounds and a conjecture on the exact value in special cases are presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_01477 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the max min of the algebraic degree and the nonlinearity of a Boolean function on an affine subspace Haugland, Jan Kristian Combinatorics 06E30 We investigate the max min of the algebraic degree and the nonlinearity of a Boolean function in $n$ variables when restricted to a $k$-dimensional affine subspace of $\mathbb{F}_2^n$. Previous authors have focused on the cases when the max min of the algebraic degree is 0 or 1. Upper bounds, lower bounds and a conjecture on the exact value in special cases are presented. |
| title | On the max min of the algebraic degree and the nonlinearity of a Boolean function on an affine subspace |
| topic | Combinatorics 06E30 |
| url | https://arxiv.org/abs/2408.01477 |