Timeline for Why can we not find exact values for sizes of cap sets for $d>6$?
Current License: CC BY-SA 4.0
16 events
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| Jan 2 at 5:35 | vote | accept | 15948238 | ||
| Dec 11, 2023 at 17:30 | answer | added | Oscar Lanzi | timeline score: 5 | |
| Dec 11, 2023 at 14:45 | history | edited | Sam Hopkins | CC BY-SA 4.0 |
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| Dec 11, 2023 at 7:38 | history | edited | GH from MO |
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| Dec 11, 2023 at 7:36 | answer | added | GH from MO | timeline score: 3 | |
| Dec 11, 2023 at 5:47 | history | edited | RobPratt | CC BY-SA 4.0 |
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| Dec 11, 2023 at 5:43 | history | edited | Daniele Tampieri | CC BY-SA 4.0 |
Fully Math Jaxed
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| Dec 11, 2023 at 1:05 | comment | added | Sam Hopkins | It is not uncommon for exact values of these kind of problems of counting combinatorial objects satisfying certain constraints to be known only for small parameter values. The issue is just that brute force searching becomes computationally infeasible beyond a certain level, and there are not techniques much better than brute force. This is related to the whole idea of polynomial time vs. NP computational problems, and also "combinatorial explosion." Maybe more can be said for this particular problem of cap sets, but I doubt there is anything to unique to it. | |
| Dec 10, 2023 at 20:56 | history | edited | 15948238 | CC BY-SA 4.0 |
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| Dec 10, 2023 at 20:56 | comment | added | 15948238 | Bounds as opposed to exact values is what I meant. | |
| Dec 10, 2023 at 19:58 | comment | added | Seva | I am still puzzled. Why do you believe that "we can only find bounds for sizes of cap sets for $d>6$"? | |
| Dec 10, 2023 at 19:48 | comment | added | 15948238 | Yes, sorry about that. Just edited for clarification. | |
| Dec 10, 2023 at 19:47 | history | edited | 15948238 | CC BY-SA 4.0 |
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| Dec 10, 2023 at 19:11 | comment | added | Seva | Capsets... where? In $\mathbb F_p^d$? Is $d$ the dimension? Maybe, just because for $d\le 5$ the exact values are known? | |
| S Dec 10, 2023 at 17:32 | review | First questions | |||
| Dec 11, 2023 at 5:43 | |||||
| S Dec 10, 2023 at 17:32 | history | asked | 15948238 | CC BY-SA 4.0 |