The minimal distance problem has sharp exponent 2/3: lower-bound configurations of size n with separation n^{-2/3−o(1)} are constructed via trace-zero lattices in high-degree totally real number fields.
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The sharp exponent for the minimal distance problem
The minimal distance problem has sharp exponent 2/3: lower-bound configurations of size n with separation n^{-2/3−o(1)} are constructed via trace-zero lattices in high-degree totally real number fields.