A note on optimal point distributions in [0,1)s[0,1)s

In this note we determine the infimum of the L2L2-, the star- and the extreme discrepancy taken over all 2-element point sets in the s  -dimensional unit cube. Moreover we give very good bounds on the infimum of the isotropic discrepancy taken over all (s+1)(s+1)-element point sets in [0,1)s[0,1)s.