I laughed out loud at the n lg n ^ (1 - 2^{-182}). It is so funny.
Wowzers!
This also reaffirms my (wishful) thinking that if there’s a way to do FTL communication it’ll be something with an absurdly tiny factor like 2^-182 with a slight asymmetry in a probability somewhere.
Then you’re not violating FTL, just gaining a very slight chance that you might know something FTL – probably.
Me too. This is the sort of thing that would traditionally be hidden as n lg n ^ (1 - eps) for some eps > 0, but it's much more amusing this way.
No way this is the correct upper bound, and I imagine it'll get refined fairly quickly. IIRC, the GapCVP results were released with a 1/n^400 complexity term, but people quickly got it down to 1/n^8 by more careful accounting.
2^-182 is very funny but it's bigger than 0 and that's going to shatter a lot of people's conjectures.