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Aug 8, 2021 at 13:45 vote accept Roland Bacher
Aug 7, 2021 at 19:06 history edited Peter Taylor CC BY-SA 4.0
Corrections based on mme's comment
Aug 7, 2021 at 18:59 comment added Peter Taylor Thanks, @mme. Google Scholar gives a link which seems to be broken, but with your additional prod I've found a gratis (albeit I had to create a account) PDF.
Aug 7, 2021 at 18:44 comment added mme It was indeed $2^{d-2}$, but not in "Diagonal polynomials of small dimension". There they cite "An enlarged family of packing polynomials on multidimensional lattices" where you can find the construction of their $2^{d-2}$ polynomials, which I found freely available online.
Aug 7, 2021 at 13:26 comment added Peter Taylor Maybe $2d-2$ should be $2^{d-2}$. That would be consistent with finding two for $d=3$ and not finding six for $d=4$, but I don't feel like spending 40EUR to get access to the paper.
Aug 7, 2021 at 11:32 history edited Peter Taylor CC BY-SA 4.0
added 231 characters in body
Aug 7, 2021 at 11:27 history answered Peter Taylor CC BY-SA 4.0