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An Optimal Odd Unimodular Lattice in Dimension 72
Masaaki Harada, Tsuyoshi Miezaki
It is shown that if there is an extremal even unimodular lattice in dimension 72, then there is an optimal odd unimodular lattice in that dimension. Hence, the first example of an…
math.CO2011
On Euclidean designs and the potential energy
Tsuyoshi Miezaki, Makoto Tagami
We study Euclidean designs from the viewpoint of the potential energy. For a finite set in Euclidean space, We formulate a linear programming bound for the potential energy by appl…