Constructing near-Hadamard designs with (almost) D-optimality by general supplementary difference sets

@article{and2017ConstructingND,
  title={Constructing near-Hadamard designs with (almost) D-optimality by general supplementary difference sets},
  author={Yuan-Lung Lin and and F. Phoa},
  journal={Statistica Sinica},
  year={2017}
}
We propose a new and unified construction method, general supplementary difference sets (GSDS)s, for near-Hadamard designs when the run sizes are n ≡ 2 (mod 4). These designs possess high D-efficiencies. Ehlich (1964) derived an upper bound for the determinant of matrices of order n ≡ 2 (mod 4) achievable only if 2n − 2 is a sum of two squares. Between 1 to 100, there are 6 parameters, 22, 34, 58, 70, 78, and 94, that do not fulfill this condition. We formulate a class of near-Hadamard designs… Expand
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