Existence of balanced functions that are not derivative of bent functions
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866915639616077824 |
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| author | Potapov, Vladimir N. |
| author_facet | Potapov, Vladimir N. |
| contents | It is disproved the Tokareva's conjecture that any balanced boolean function of appropriate degree is a derivative of some bent function. This result is based on new upper bounds for the numbers of bent and plateaued functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_04244 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Existence of balanced functions that are not derivative of bent functions Potapov, Vladimir N. Information Theory 06E30 It is disproved the Tokareva's conjecture that any balanced boolean function of appropriate degree is a derivative of some bent function. This result is based on new upper bounds for the numbers of bent and plateaued functions. |
| title | Existence of balanced functions that are not derivative of bent functions |
| topic | Information Theory 06E30 |
| url | https://arxiv.org/abs/2309.04244 |