Motivated by the construction of confidence intervals in statistics, we study
optimal configurations of 2d−1 lines in real projective space RPd−1.
For small d, we determine line sets that numerically minimize a wide variety
of potential functions among all configurations of 2d−1 lines through the
origin. Numerical experiments verify that our findings enable to assess
efficiently the tightness of a bound arising from the statistical literature.Comment: 13 page