Best Known (18−3, 18, s)-Nets in Base 3
(18−3, 18, 745472)-Net over F3 — Constructive and digital
Digital (15, 18, 745472)-net over F3, using
- net defined by OOA [i] based on linear OOA(318, 745472, F3, 3, 3) (dual of [(745472, 3), 2236398, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(318, 745472, F3, 2, 3) (dual of [(745472, 2), 1490926, 4]-NRT-code), using
(18−3, 18, large)-Net in Base 3 — Upper bound on s
There is no (15, 18, large)-net in base 3, because
- 1 times m-reduction [i] would yield (15, 17, large)-net in base 3, but