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Timeline for $(n-2)$-blocking sets in $AG(n,2)$

Current License: CC BY-SA 3.0

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Apr 13, 2017 at 12:58 history edited CommunityBot
replaced http://mathoverflow.net/ with https://mathoverflow.net/
Feb 6, 2016 at 20:57 vote accept Ashot
Feb 1, 2016 at 4:23 history edited Anurag CC BY-SA 3.0
added 161 characters in body
Jan 30, 2016 at 22:18 history edited Anurag CC BY-SA 3.0
added 369 characters in body
Jan 26, 2016 at 22:41 history edited Anurag CC BY-SA 3.0
made a correction in the Gaussian coefficient
Jan 26, 2016 at 18:33 comment added Anurag You are welcome. But if we use the method that you have described for a general $q$, then shouldn't the bound be $(q^2 - 1)^{\log_2^n} = n^{\log_2^{q^2 - 1}}$, when $n$ is a power of $2$? This is because in your base step you will have $F(2) = q^2 - 1$. And then this upper bound will be worse than the quadratic upper bound we have. For example, for $q = 3$ it gives an upper bound of $O(n^3)$, while the bounds I have described are $O(n^2)$.
Jan 26, 2016 at 18:01 comment added Ashot Thank you for the answer. The same method works for $q>2$ as well. Just the constant factor is changes: $q^2-1$ instead of $3$.
Jan 26, 2016 at 13:08 history answered Anurag CC BY-SA 3.0