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May 30, 2010 at 22:04 comment added Yaakov Baruch Each of these bases is O(k) for $M_{k}$ , while the "ternary" example above is O($k^{2/3}$). Perhaps the intent of the question is how close can one get to $\sqrt{k}$?
May 30, 2010 at 18:42 comment added Dror Speiser I believe the sets you propose are in fact minimal.
May 30, 2010 at 18:19 history answered Gabe Cunningham CC BY-SA 2.5