diff --git a/constants/4a.md b/constants/4a.md index 2b1f3aa..9beeb0b 100644 --- a/constants/4a.md +++ b/constants/4a.md @@ -19,8 +19,9 @@ Let $r(n)$ be the size of the largest cap set in $\mathbb{F}\_{3}^{n}$, i.e., a | $2.1146$ | [P1970] | | $2.2101$ | [CF1994] | | $2.2173$ | [E2004] | -| $2.2180$ | [T2002] | +| $2.2180$ | [T2023] | | $2.2202$ | [RBNBKDREWFKF2023] | Funsearch +| $2.2203$ | [ZWLPLZJZZZ2025] |X-evolve ## Additional comments and links @@ -36,4 +37,5 @@ Let $r(n)$ be the size of the largest cap set in $\mathbb{F}\_{3}^{n}$, i.e., a - [NS2016] Naslund, Eric; Sawin, William F. Upper bounds for sunflower-free sets. [arXiv:1606.09575](https://arxiv.org/abs/1606.09575) - [P1970] Pellegrino, Giuseppe. Sul massimo ordine delle calotte in $S_{4,3}$. Matematiche (Catania) 25 (1970), no. 10, 1–9. - [RBNBKDREWFKF2023] Romera-Paredes, Bernardino; Barekatain, Mohammadamin; Novikov, Alexander; Balog, Matej; Kumar, M. Pawan; Dupont, Emilien; Ruiz, Francisco J. R.; Ellenberg, Jordan S.; Wang, Pengming; Fawzi, Omar; Kohli, Pushmeet; Fawzi, Alhussein. Mathematical discoveries from program search with large language models. Nature. 625 (7995): 468–475 (2023). -- [T2002] Tyrrell, Fred. New lower bounds for cap sets. Discrete Analysis. 2023 (20). [arXiv:2209.10045](https://arxiv.org/abs/2209.10045). \ No newline at end of file + -[ZWLPLZJZZZ2025] Zhai, Y., Wei, Z., Li, R., Pan, K., Liu, S., Zhang, L., Ji, J., Zhang, W., Zhang, Y. and Zhang, Y., 2025. \(X\)-evolve: Solution space evolution powered by large language models. arXiv preprint [arXiv:2508.07932]. +- [T2023] Tyrrell, Fred. New lower bounds for cap sets. Discrete Analysis. 2023 (20). [arXiv:2209.10045](https://arxiv.org/abs/2209.10045).