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Oct 16, 2020 at 14:22 vote accept Nick Gill
Oct 1, 2020 at 16:28 comment added Nick Gill I could potentially weaken the notion of equivalence between codes to allow for the odd- and even-weight codes to be permuted separately, and ask again if all sphere packings are equivalent in this sense... I have no idea yet whether that is a silly question! But thanks again.
Oct 1, 2020 at 16:28 comment added Nick Gill This looks great, thank you so much. There's plenty to think about here... I wonder if I could do something similar using the construction in the question: split the subspace I gave into odd- and even-weight vectors, and then use the fact that there is a lower bound on minimal distance to permute the odd-weight vectors to come up with a different packing, in particular a non-linear one? I wonder if this would potentially give something equivalent to what you have done?
Oct 1, 2020 at 15:20 history edited LeechLattice CC BY-SA 4.0
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Oct 1, 2020 at 15:15 history answered LeechLattice CC BY-SA 4.0