Moderate-doubling sets in $\mathbb{F}_2^n$ intersect subspaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914216709980160 |
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| author | Cohen, Alex Zakharov, Dmitrii |
| author_facet | Cohen, Alex Zakharov, Dmitrii |
| contents | We show that any set $A$ in $\mathbb F_2^n$ with $|A+A| \le |A|^{2-η}$ must intersect a subspace of dimension $O_η(\log |A|)$ in at least $|A|^{η- o(1)}$ elements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_19884 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Moderate-doubling sets in $\mathbb{F}_2^n$ intersect subspaces Cohen, Alex Zakharov, Dmitrii Combinatorics We show that any set $A$ in $\mathbb F_2^n$ with $|A+A| \le |A|^{2-η}$ must intersect a subspace of dimension $O_η(\log |A|)$ in at least $|A|^{η- o(1)}$ elements. |
| title | Moderate-doubling sets in $\mathbb{F}_2^n$ intersect subspaces |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2512.19884 |