Timeline for How many elements with a hamming distance of 3 or less?
Current License: CC BY-SA 3.0
15 events
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| Jun 10, 2011 at 5:32 | history | edited | Aaron Meyerowitz | CC BY-SA 3.0 |
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| Jun 10, 2011 at 5:32 | history | made wiki | Post Made Community Wiki by Aaron Meyerowitz | ||
| Jun 10, 2011 at 4:40 | history | edited | Aaron Meyerowitz | CC BY-SA 3.0 |
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| Jun 8, 2011 at 6:16 | vote | accept | chous | ||
| Jun 7, 2011 at 21:48 | history | edited | Aaron Meyerowitz | CC BY-SA 3.0 |
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| Jun 7, 2011 at 18:40 | comment | added | Douglas Zare | $\mathbb{P}^3(F_3)$ has ${40 \choose 2}/{4 \choose 2} = 130$ lines, not $40$, so the construction for $42$ blocks actually uses $132$ blocks. It was a little too good to be true since it would mean any quadruple would intersect a block in $2$ points, and it would be easy to use the $5$th points to make a line redundant. | |
| Jun 7, 2011 at 17:53 | comment | added | Douglas Zare | Aaron Meyerowitz's construction for $42$ blocks used $F_3$ rather than $F_4$, which should make it easier. The construction is just like that of $\mathbb{RP}^3$ so that the points are lines passing through the origin in $\mathbb{R}^4$ and the lines of $\mathbb{P}^3$ correspond to (two-dimensional) planes passing through the origin. $\mathbb{P}^3(F_4)$ has $(4^4-1)/(4-1)=85$ points, though. | |
| Jun 7, 2011 at 12:18 | comment | added | chous | Thanks a lot! How would you recommend to build the projective 3 space of order 4? I think I'm currently not ready for this task :(. | |
| Jun 7, 2011 at 12:12 | vote | accept | chous | ||
| Jun 8, 2011 at 6:15 | |||||
| Jun 7, 2011 at 9:47 | history | edited | Aaron Meyerowitz | CC BY-SA 3.0 |
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| Jun 7, 2011 at 9:33 | history | edited | Aaron Meyerowitz | CC BY-SA 3.0 |
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| Jun 7, 2011 at 5:59 | history | edited | Aaron Meyerowitz | CC BY-SA 3.0 |
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| Jun 7, 2011 at 4:51 | history | edited | Aaron Meyerowitz | CC BY-SA 3.0 |
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| Jun 7, 2011 at 4:33 | history | edited | Aaron Meyerowitz | CC BY-SA 3.0 |
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| Jun 7, 2011 at 4:21 | history | answered | Aaron Meyerowitz | CC BY-SA 3.0 |